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<v Speaker 1>Section one of the Einstein Theory of Relativity. This is

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<v Speaker 1>a LibriVox recording. All LibriVox recordings are in the public domain.

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<v Speaker 1>For more information, ought to volunteer, please visit liprivox dot org.

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<v Speaker 1>Recording by Avai in January twenty twenty The Einstein Theory

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<v Speaker 1>of Relativity by Hendrik A. Lwentz, Section one. Note. Whether

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<v Speaker 1>it is true or not that not more than twelve

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<v Speaker 1>persons in all the world are able to understand Einstein's theory,

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<v Speaker 1>it is nevertheless a fact that there is a constant

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<v Speaker 1>demand for information about this much debated topic of relativity.

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<v Speaker 1>The books published on the subject are so technical that

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<v Speaker 1>only a person trained in pure physics and higher mathematics

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<v Speaker 1>is able to fully understand them. In order to make

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<v Speaker 1>a popular explanation of this far reaching theory available, the

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<v Speaker 1>present book is published. Professor Lawrence is credited by Einstein

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<v Speaker 1>with sharing the development of his theory. He is doubtless

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<v Speaker 1>better able than any other man except the author himself,

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<v Speaker 1>to explain this scientific discovery. The publishers wish to acknowledge

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<v Speaker 1>their indebtedness to The New York Times, The Review of Reviews,

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<v Speaker 1>and the Athenaeum for courteous permission to reprint articles from

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<v Speaker 1>their pages. Professor Lawrence's article appeared originally in the Newer

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<v Speaker 1>Rotterdam's Recurrant of November nineteen, nineteen nineteen introduction. The action

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<v Speaker 1>of the Royal Society at its meeting in London on

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<v Speaker 1>November six in recognizing doctor Albert Einstein's theory of relativity

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<v Speaker 1>has caused a great stir in scientific circles on both

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<v Speaker 1>sides of the Atlantic. Doctor Einstein propounded his theory nearly

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<v Speaker 1>fifteen years ago. The present revival of interest in it

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<v Speaker 1>is due to the remarkable confirmation which it received in

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<v Speaker 1>the report of the observations made during the Sun's eclipse

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<v Speaker 1>of last May to determine whether rays of light passing

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<v Speaker 1>close to the Sun are deflected from their course. The

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<v Speaker 1>actual deflection of the rays that was discovered by the

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<v Speaker 1>astronomers was precisely what had been predicted theoretically by Einstein

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<v Speaker 1>many years since. This striking confirmation has led certain German

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<v Speaker 1>scientists to assert that no scientific discovery of such importance

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<v Speaker 1>has been made since Newton's theory of gravitation was promulgated.

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<v Speaker 1>This suggestion, however, was put aside by doctor Einstein himself

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<v Speaker 1>when he was interviewed by a correspondent of the New

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<v Speaker 1>York Times at his home in Berlin. To this core respondent,

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<v Speaker 1>he expressed a difference between his conception and the law

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<v Speaker 1>of gravitation in the following terms. Please imagine the Earth removed,

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<v Speaker 1>and in its place suspended a box as big as

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<v Speaker 1>a room or a whole house, and inside a man

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<v Speaker 1>naturally floating in the center, there being no force whatever

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<v Speaker 1>pulling him. Imagine further this box, being by a rope

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<v Speaker 1>or other contrivance, suddenly jerked to one side, which is

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<v Speaker 1>scientifically termed deform motion as opposed to uniform motion. The

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<v Speaker 1>person would then naturally reach bottom on the opposite side.

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<v Speaker 1>The result would consequently be the same as if he

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<v Speaker 1>obeyed Newton's law of gravitation, while in fact there is

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<v Speaker 1>no gravitation exerted whatever, which proves that deformed motion will

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<v Speaker 1>in every case produce the same effects as gravitation. I

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<v Speaker 1>have applied this new idea to every kind of deformed motion,

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<v Speaker 1>and have thus developed mathematical formulas which I am convinced

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<v Speaker 1>give more precise results than those based on Newton's theory.

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<v Speaker 1>Newton's formulas however, are such close approximations that it was

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<v Speaker 1>difficult to find by observation any obvious disagreement with experience.

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<v Speaker 1>Doctor Einstein, it must be remembered, is a physicist and

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<v Speaker 1>not an astronomer. He developed his theory as a mathematical formula.

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<v Speaker 1>The confirmation of it came from the astronomers, As he

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<v Speaker 1>himself said, The crucial test was supplied by the last

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<v Speaker 1>total solar eclipse. Observations then proved that the rays of

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<v Speaker 1>fixed stars, having to pass close to the Sun to

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<v Speaker 1>reach the Earth were deflected the exact amount demanded by

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<v Speaker 1>Einstein's formulas. The deflexion was all so in the direction

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<v Speaker 1>predicted by him. The question must have occurred to many,

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<v Speaker 1>what has all this to do with relativity? When this

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<v Speaker 1>query was propounded by the Times correspondent to doctor Einstein,

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<v Speaker 1>he replied as follows. The term relativity refers to time

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<v Speaker 1>and space. According to Galileo and Newton, time and space

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<v Speaker 1>were absolute entities, and the moving systems of the universe

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<v Speaker 1>were dependent on this absolute time and space. On this

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<v Speaker 1>conception was built the science of mechanics. The resulting formulas

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<v Speaker 1>sufficed for all motions of a slow nature. It was found, however,

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<v Speaker 1>that they would not conform to the rapid motions apparent

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<v Speaker 1>in electrodynamics. This led the Dutch professor Laurentz and myself

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<v Speaker 1>to develop the theory of special relativity. Briefly, it discovered

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<v Speaker 1>Cauard's absolute time and space and makes them in every

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<v Speaker 1>instance relative to moving systems. By this theory, all phenomena

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<v Speaker 1>in electrodynamics as well as mechanics hitherto irreducible by the

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<v Speaker 1>old formulae and there are multitudes was satisfactorily explained. Till now,

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<v Speaker 1>it was believed that time and space existed by themselves

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<v Speaker 1>even if there was nothing else, no Sun, no Earth,

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<v Speaker 1>no stars, while now we know that time and space

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<v Speaker 1>are not the vessel for the universe, but could not

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<v Speaker 1>exist at all if there were no contents, namely no Sun,

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<v Speaker 1>Earth and other celestial bodies. This special relativity forming the

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<v Speaker 1>first part of my theory, relates to all systems moving

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<v Speaker 1>with uniform motion, that is, moving in a straight line

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<v Speaker 1>with equal velocity Gradually. I was led to the idea,

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<v Speaker 1>seeming a very paradox in science, that it might apply

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<v Speaker 1>equally to all moving systems, even of deformed motion, and

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<v Speaker 1>thus I developed the conception of general relativity, which forms

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<v Speaker 1>the second part of my theory, as summarized by an

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<v Speaker 1>American astronomer, Professor Henry Norris Russell of Princeton, in the

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<v Speaker 1>Scientific American for November twenty nine. Einstein's contribution amounts to this.

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<v Speaker 1>The central fact which has been proved, and which is

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<v Speaker 1>of great interest and importance, is that the natural phenomena

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<v Speaker 1>involving gravitation and inertia, such as the motions of the planets,

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<v Speaker 1>and the phenomena involving electricity and magnetism, including the motion

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<v Speaker 1>of light, are not independent of one another, but are

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<v Speaker 1>intimately related, so that both sets of phenomena should be

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<v Speaker 1>regarded as parts of one vast system embracing all nature.

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<v Speaker 1>The relation of the two is, however, of such a

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<v Speaker 1>character that it is perceptible only in a very few instances,

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<v Speaker 1>and then only to refined observations. Already before the war,

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<v Speaker 1>Einstein had immense fame among physicists and among all who

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<v Speaker 1>are interested in the philosophy of science because of his

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<v Speaker 1>principle of relativity. Clark Maxwell had shown that light is electromagnetic,

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<v Speaker 1>and had reduced the whole theory of electromagnetism to a

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<v Speaker 1>small number of equations, which are fundamental in all subsequent work.

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<v Speaker 1>But these equations were entangled with the hypothesis of the ether,

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<v Speaker 1>and was the notion of motion relative to the ether.

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<v Speaker 1>Since the Ether was supposed to be at rest, such

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<v Speaker 1>motion was indistinguishable from absolute motion. The motion of the

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<v Speaker 1>Earth relatively to the Ether should have been different at

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<v Speaker 1>different points of its orbit, and measurable phenomena should have

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<v Speaker 1>resulted from this difference, but none did, and all attempts

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<v Speaker 1>to detect defects of motions relative to the ether failed.

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<v Speaker 1>The theory of relativity succeeded in accounting for this fact,

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<v Speaker 1>but it was necessary, incidentally, to throw over the one

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<v Speaker 1>universal time and substitute local times attached to moving bodies

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<v Speaker 1>and varying according to their motion. The equations on which

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<v Speaker 1>the theory of relativity is based are due to Laurents,

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<v Speaker 1>but Einstein connected them with his general principle, namely that

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<v Speaker 1>there must be nothing in observable phenomena which could be

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<v Speaker 1>attributed to absolute motion of the observer. In orthodox Newtonian dynamics,

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<v Speaker 1>the principle of relativity had a simpler form, which did

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<v Speaker 1>not require the substitution of local time for general time.

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<v Speaker 1>But it now appeared that Newtonian dynamics is only valid

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<v Speaker 1>when we confine ourselves to velocities much less than that

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<v Speaker 1>of light. The whole Galileo Newton system thus sank to

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<v Speaker 1>the level of a first approximation, becoming progressively less exact

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<v Speaker 1>as the velocities concerned approached that of light. Einstein's extension

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<v Speaker 1>of his principle so as to account for gravitation was

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<v Speaker 1>made during the war, and for a considerable period our

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<v Speaker 1>astronomers were unable to become acquainted with it, owing to

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<v Speaker 1>the difficulty of obtaining German printed matter. However, copies of

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<v Speaker 1>his work ultimately reached the outside world and enabled people

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<v Speaker 1>to learn more about it. Gravitation. Ever since Newton had

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<v Speaker 1>remained isolated from other forces in nature. Various attempts had

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<v Speaker 1>been made to account for it, but without success. The

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<v Speaker 1>immense unification effected by electromagnetism apparently left gravitation out of

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<v Speaker 1>its scope. It seemed that nature had presented a challenge

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<v Speaker 1>to the physicists which none of them were able to meet.

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<v Speaker 1>At this point, Einstein intervened with a hypothesis which, apart

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<v Speaker 1>altogether from subsequent verification deserves to rank as one of

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<v Speaker 1>the great monuments of human genius. After correcting Newton, it

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<v Speaker 1>remained to correct Euclid, and it was in terms of

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<v Speaker 1>non Euclidean geometry that he stated his new theory. Non

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<v Speaker 1>Euclidean geometry is a study of which the primary motive

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<v Speaker 1>was logical and philosophical. Few of its promoters ever dreamed

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<v Speaker 1>that it would come to be applied in physics. Some

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<v Speaker 1>of Euclid's axioms were felt to be not neces serie truths,

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<v Speaker 1>but mere empirical laws. In order to establish this view,

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<v Speaker 1>self consistent geometries were constructed upon assumptions other than those

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<v Speaker 1>of Euclid. In these geometries, the sum of the angles

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<v Speaker 1>of a triangle is not two right angles, and the

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<v Speaker 1>departure from two right angles increases as the size of

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<v Speaker 1>the triangle increases. It is often said that in non

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<v Speaker 1>Euclidean geometry, space has a curvature, but this way of

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<v Speaker 1>stating the matter is misleading, since it seems to imply

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<v Speaker 1>a fourth dimension which is not implied by these systems.

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<v Speaker 1>Einstein supposes that space is Euclidean where it is sufficiently

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<v Speaker 1>remote from matter, but that the presence of matter causes

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<v Speaker 1>it to become slightly non Euclidean. The more matter there

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<v Speaker 1>is in the neighborhood, the more space will depart from

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<v Speaker 1>euclid By the help of this hypothesis, together with his

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<v Speaker 1>previous theory of relativity, he deduces gravitation very approximately but

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<v Speaker 1>not exactly according to the Newtonian law of the inverse square.

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<v Speaker 1>The minute differences between the effects deduced from his theory

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<v Speaker 1>and those deduced from Newton are measurable in certain cases.

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<v Speaker 1>There are so far three crucial tests of the relative

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<v Speaker 1>accuracy of the new theory and the old one. The

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<v Speaker 1>perihelion of mercury shows a discrepancy which has long puzzled astronomers.

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<v Speaker 1>This discrepancy is fully accounted for by Einstein. At the

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<v Speaker 1>time when he published his theory, this was its only

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<v Speaker 1>experimental verification. Two modern physicists were willing to suppose that

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<v Speaker 1>light might be subject to gravitation, i e. That a

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<v Speaker 1>ray of light passing near a great mass like the

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<v Speaker 1>Sun might be deflected to the extent to which a

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<v Speaker 1>particle moving with the same velocity would be deflected according

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<v Speaker 1>to the orthodox theory of gravitation. But Einstein's theory required

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<v Speaker 1>that the light should be deflected just twice as much

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<v Speaker 1>as this. The matter could only be tested during an

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<v Speaker 1>eclipse among a number of bright stars. Fortunately, a peculiarly

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<v Speaker 1>favorable eclipse occurred last year. The results of the observations

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<v Speaker 1>have now been published and are found to verify Einstein's prediction.

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<v Speaker 1>The verification is not, of course quite exact. With such

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<v Speaker 1>delicate observations, that was not to be expected. In some

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<v Speaker 1>cases the departure is considerable, but taking the advantage of

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<v Speaker 1>the best series of observations, the deflection at the Sun's

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<v Speaker 1>limb is found to be one point nine eight seconds,

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<v Speaker 1>with a probable error of about six percent, whereas the

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<v Speaker 1>deflection calculated by Einstein's theory should be one point seventy

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<v Speaker 1>five seconds. It will be noticed that Einstein's theory gave

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<v Speaker 1>a deflection twice as large as that predicted by the

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<v Speaker 1>orthodox theory, and that the observed deflection is slightly larger

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<v Speaker 1>than Einstein predicted. The discrepancy is well within what might

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<v Speaker 1>be expected in view of the minuteness of the measurements.

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<v Speaker 1>It is therefore generally acknowledged by astronomers that the outcome

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<v Speaker 1>is a triumph for Einstein. Three. In the excitement of

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<v Speaker 1>this sensational verification, there has been a tendency to overlook

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<v Speaker 1>the third experimental test to which Einstein's theory was to

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<v Speaker 1>be subjected. If his theory as correct as it stands,

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<v Speaker 1>there odd in a gravitational field to be a displacement

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<v Speaker 1>of the lines of the spectrum towards the red. No

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<v Speaker 1>such effect has been discovered. Spectroscopists maintain that, so far

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<v Speaker 1>as can be seen at present, there is no way

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<v Speaker 1>of accounting for this failure if Einstein's theory in its

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<v Speaker 1>present form is assumed. They admit that some compensating cause

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<v Speaker 1>may be discovered to explain the discrepancy, but they think

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<v Speaker 1>it far more probable that Einstein's theory requires some essential modification. Meanwhile,

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<v Speaker 1>a certain suspense of judgment is called for. The new

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<v Speaker 1>law has been so amazingly successful in two of the

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<v Speaker 1>three tests that there must be something valid about it,

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<v Speaker 1>even if it is not exactly right. As yet, Einstein's

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<v Speaker 1>theory has the very highest degree of esthetic merit. Every

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<v Speaker 1>lover of the beautiful must wish it to be true.

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<v Speaker 1>It gives a vast, unified survey of the operations of

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<v Speaker 1>nature with a technical simplicity in the critical assumptions, which

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<v Speaker 1>makes the wealth of deductions astonishing. It is a case

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<v Speaker 1>of an advance arrived at by pure theory. The hole

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<v Speaker 1>effect of Einstein's work is to make physics more philosophical

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<v Speaker 1>in a good sense, and to restore some of that

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<v Speaker 1>intellectual unity which belonged to the great scientific systems of

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<v Speaker 1>the seventeenth and eighteenth centuries, but which was lost through

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<v Speaker 1>increasing specialization and the overwhelming mass of detailed knowledge. In

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<v Speaker 1>some ways, our age is not a good one to

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<v Speaker 1>live in, but for those who are interested in physics

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<v Speaker 1>there are great compensations. End of section one Section two

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<v Speaker 1>of The Einstein Theory of Relativity by Hendrik A. Laurentz.

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<v Speaker 1>This LibriVox recording is in the public domain. Recording by

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<v Speaker 1>ABAI in February twenty twenty The Einstein Theory of Relativity

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<v Speaker 1>a concise statement by Professor H. A. Lorentz of the

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<v Speaker 1>University of Leiden. The total eclipse of the Sun on

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<v Speaker 1>May twenty ninth resulted in a striking confirmation of the

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<v Speaker 1>new theory of the universal attractive power of gravitation developed

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<v Speaker 1>by Albert Einstein, and thus reinforced the conviction that the

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<v Speaker 1>defining of this theory is one of the most important

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<v Speaker 1>steps ever taken in the domain of natural science. In

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<v Speaker 1>response to a request by the editor, I will attempt

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<v Speaker 1>to contribute something to its general appreciation in the following lines.

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<v Speaker 1>For centuries, Newton's doctrine of the attraction of gravitation has

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<v Speaker 1>been the most prominent example of a theory of natural science.

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<v Speaker 1>Through the simplicity of its basic idea, an attraction between

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<v Speaker 1>two bodies proportionate to their mass and also proportionate to

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<v Speaker 1>the square of the distance, through the completeness with which

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<v Speaker 1>it explained so many of the peculiarities in the movement

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<v Speaker 1>of the bodies making up the Solar System, and finally,

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<v Speaker 1>through its universal validity even in the case of the

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<v Speaker 1>far distant planetary systems. It compelled the admiration of all.

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<v Speaker 1>But while the skill of the mathematicians was devoted to

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<v Speaker 1>making more exact calculations of the consequences to which it led,

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<v Speaker 1>no real progress was made in the science of gravitation.

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<v Speaker 1>It is true that the inquiry was transferred to the

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<v Speaker 1>field of physics following Cavendish's success in demonstrating the common

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<v Speaker 1>attraction between bodies with which laboratory work can be done.

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<v Speaker 1>But it always was evident that natural philosophy had no

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<v Speaker 1>grip on the universal power of attraction. While in electric effects,

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<v Speaker 1>an influence exercised by the matter placed between bodies was

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<v Speaker 1>speedily observed the starting point of a new and fertile

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<v Speaker 1>doctrine of electricity. In the case of gravitation, not a

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<v Speaker 1>trace of an influence exercised by intermediate matter could ever

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<v Speaker 1>be discovered. It was and remained inaccessible and unchangeable, without

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<v Speaker 1>any connection, apparently with other phenomena of natural philosophy. Einstein

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<v Speaker 1>has put an end to this isolation. It is now

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<v Speaker 1>well established that gravitation effects not only matter but also light.

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<v Speaker 1>Thus strengthened in the face that his theory already has inspired,

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<v Speaker 1>we may assume with him that there is not a

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<v Speaker 1>single physical or chemical phenomenon which does not feel, although

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<v Speaker 1>very probably in an unnoticeable degree, the influence of gravitation,

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<v Speaker 1>and that, on the other side, the attraction exercised by

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<v Speaker 1>a body is limited in the first place by the

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<v Speaker 1>quantity of matter it contains, and also to some degree

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<v Speaker 1>by motion, and by the physical and chemical condition in

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<v Speaker 1>which it moves. It is comprehensible that a person could

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<v Speaker 1>not have arrived at such a far reaching change of

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<v Speaker 1>view by continuing to follow the old beaten paths, but

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<v Speaker 1>only by introducting some sort of new idea. Indeed, Einstein

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<v Speaker 1>arrived at his theory through a train of thought of

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<v Speaker 1>great originality. Let me try to restate it in concise terms.

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<v Speaker 1>End of section two Section three of the Einstein Theory

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<v Speaker 1>of Relativity by Hendrik A. Lorentz. This LibriVox recording is

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<v Speaker 1>in the public domain. Recording by A. Vai in February

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<v Speaker 1>twenty twenty. The Earth as a moving car. Everyone knows

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<v Speaker 1>that a person may be sitting in any kind of

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<v Speaker 1>a vehicle without noticing its progress, so long as the

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<v Speaker 1>movement does not vary in direction or speed. In a

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<v Speaker 1>car of a fast express train, objects fall in just

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<v Speaker 1>the same way as in a coach that is standing still.

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<v Speaker 1>Only when we look at objects outside the train, or

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<v Speaker 1>when the air can enter the car, do we notice

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<v Speaker 1>indications of the motion. We may compare the Earth with

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<v Speaker 1>such a movie vehicle, which, in its course around the

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<v Speaker 1>Sun has a remarkable speed, of which the direction and

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<v Speaker 1>velocity during a considerable period of time may be regarded

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<v Speaker 1>as constant In place of the air now comes. So

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<v Speaker 1>it was reasoned formally the ether which fills the spaces

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<v Speaker 1>of the universe and is the carrier of light and

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<v Speaker 1>of electromagnetic phenomena. There were good reasons to assume that

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<v Speaker 1>the Earth was entirely permeable for the ether, and could

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<v Speaker 1>travel through it without setting it in motion. So here

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<v Speaker 1>was a case comparable with that of a railroad coach

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<v Speaker 1>open on all sides. There certainly should have been a

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<v Speaker 1>powerful ether wind blowing through the Earth and all our instruments,

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<v Speaker 1>and it was to have been expected that some signs

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<v Speaker 1>of it would be noticed in connection with some experiment

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<v Speaker 1>or other. Every attempt along that line, however, has remained fruitless.

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<v Speaker 1>All the phenomena examined were evidently independent of the motion

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<v Speaker 1>of the Earth. That this is the way they do

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<v Speaker 1>function was brought to the front by Einstein in his

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<v Speaker 1>first or special theory of relativity. For him, the ether

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<v Speaker 1>does not function, And then the sketch that he draws

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<v Speaker 1>of natural phenomena, there is no mention of that intermediate matter.

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<v Speaker 1>If the spaces of the universe are filled with an ether,

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<v Speaker 1>let us suppose with the substance in which, aside from

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<v Speaker 1>eventual vibrations and other slight movements. There is never any

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<v Speaker 1>crowding or flowing of one part alongside of another. Then

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<v Speaker 1>we can imagine fixed points existing in it. For example,

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<v Speaker 1>points in a straight line located one meter apart, points

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<v Speaker 1>in a level plane like the angles or squares on

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<v Speaker 1>a chessboard word extending out into infinity, and finally points

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<v Speaker 1>in space, as they are obtained by repeatedly shifting that

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<v Speaker 1>level spot a distance of a meter in the direction

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<v Speaker 1>perpendicular to it. If consequently one of the points is

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<v Speaker 1>chosen as an original point, we can, proceeding from that point,

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<v Speaker 1>reach any other point through three steps in the common

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<v Speaker 1>perpendicular directions in which the points are arranged. The figures

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<v Speaker 1>showing how many meters are comprised in each of the

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<v Speaker 1>steps may serve to indicate the place reached and to

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<v Speaker 1>distinguish it from any other these are as. Is said,

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<v Speaker 1>the coordinates of these places comparable, for example, with the

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<v Speaker 1>numbers on a map giving the longitude and latitude. Let

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<v Speaker 1>us imagine that each point has noted upon it the

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<v Speaker 1>three numbers that give its place position. Then we have

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<v Speaker 1>something comparable with a measure with numbered subdivisions. Only we

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<v Speaker 1>now have to do, one might say, with a good

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<v Speaker 1>many imaginary measures in three common perpendicular directions. In this

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<v Speaker 1>system of coordinates, the numbers that fix the position of

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<v Speaker 1>one or the other of the bodies may now be

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<v Speaker 1>read off at any moment. This is the means which

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<v Speaker 1>the astronomers and their mathematical assistance have always used in

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<v Speaker 1>dealing with the movement of the heavenly bodies. At a

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<v Speaker 1>determined moment, the position of each body is fixed by

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<v Speaker 1>its three coordinates. If these are given, then one knows

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<v Speaker 1>also the common distances, as well as the angles formed

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<v Speaker 1>by the connecting lines, and the movement of a planet

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<v Speaker 1>is to be known as soon as one knows how

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<v Speaker 1>its coordinates are changing from one moment to the other. Thus,

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<v Speaker 1>the picture that one forms of the phenomena stands there

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<v Speaker 1>as if it were sketched on the canvas of the

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<v Speaker 1>motionless ether. End of section three Section four of the

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<v Speaker 1>Einstein Theory of Relativity by Hendrik A. Lorentz. This LibriVox

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<v Speaker 1>recording is in the public domain. Recording by AVAI in

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<v Speaker 1>February twenty twenty Einstein's departure. Since Einstein has cut loose

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<v Speaker 1>from the ether, he lacks this canvas, and therewith at

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<v Speaker 1>the first glance also loses the possibility of fixing the

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<v Speaker 1>positions of the heavenly bodies and mathematically describing their movement,

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<v Speaker 1>that is, by giving comparisons that define the positions at

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<v Speaker 1>every moment. How einstein Lie has overcome this difficulty may

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<v Speaker 1>be somewhat elucidated through a simple illustration. On the surface

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<v Speaker 1>of the Earth, the attraction of gravitation causes all bodies

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<v Speaker 1>to fall along vertical lines, and indeed, when one omits

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<v Speaker 1>the resistance of the air with an equally accelerated movement,

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<v Speaker 1>the velocity increases in equal degrees in equal consecutive divisions

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<v Speaker 1>of time, at a rate that in this country gives

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<v Speaker 1>the velocity attained at the end of a second as

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<v Speaker 1>nine hundred eighty one centimeters thirty two point two feet

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<v Speaker 1>per second. The number nine hundred eighty one defines the

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<v Speaker 1>acceleration in the field of gravitation, and this field is

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<v Speaker 1>fully characterized by that single number. With its help, we

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<v Speaker 1>can also calculate the movement of an object hurled out

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<v Speaker 1>in an arbitrary direction. In order to measure the acceleration,

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<v Speaker 1>we let the body drop alongside of a vertical measure

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<v Speaker 1>set solidly on the ground. On this scale, we read

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<v Speaker 1>at every moment the figure that indicates the height, the

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<v Speaker 1>only coordinate that is of importance in this rectilinear movement.

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<v Speaker 1>Now we ask what would we be able to see

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<v Speaker 1>if the measure were not bound solidly to the earth,

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<v Speaker 1>if it, let us suppose, moved down or up with

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<v Speaker 1>the place where it is located and where we are ourselves.

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<v Speaker 1>If in this case the speed were constant, then and

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<v Speaker 1>this is in accord with the special theory of relativity,

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<v Speaker 1>there would be no motion observed at all. We should

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<v Speaker 1>again find an acceleration of nine hundred eighty one for

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<v Speaker 1>a falling body. It would be different if the measure

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<v Speaker 1>moved with changeable velocity. If it went down with a

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<v Speaker 1>constant acceleration of nine hundred eighty one itself, then an

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<v Speaker 1>object could remain permanently at the same point on the measure,

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<v Speaker 1>or could move up or down itself alongside of it

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<v Speaker 1>with constant speed. The relative movement of the body with

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<v Speaker 1>regard to the measure should be without acceleration. And if

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<v Speaker 1>we had to judge only by what we observed in

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<v Speaker 1>the spot where we were and which was falling itself,

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<v Speaker 1>then we should get the impression that there was no

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<v Speaker 1>gravitation at all. If the measure goes down with an

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<v Speaker 1>acceleration equal to a half or a third of what

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<v Speaker 1>it just was, then the relative motion of the body

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<v Speaker 1>will of course be accelerated. But we should find the

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<v Speaker 1>increase in velocity per second one half or two thirds

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<v Speaker 1>of nine hundred eighty one. If finally we let the

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<v Speaker 1>measure rise with a uniformly accelerated movement, then we shall

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<v Speaker 1>find a greater acceleration than nine hundred eighty one for

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<v Speaker 1>the body itself. Thus we see that we also, when

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<v Speaker 1>the measure is not attached to the Earth, disregarding its displacement,

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<v Speaker 1>may describe the motion of the body in respect to

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<v Speaker 1>the measure always in the same way, that is, as

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<v Speaker 1>one uniformly accelerated, as we ascribe now and again a

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<v Speaker 1>fixed value to the acceleration of the sphere of gravitation

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<v Speaker 1>in a particular case the value of zero. Of course,

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<v Speaker 1>in the case here under consideration, the use of a

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<v Speaker 1>measure fixed immovably upon the Earth should merit all recommendation.

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<v Speaker 1>But in the spaces of the Solar system we have

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<v Speaker 1>now that we have abandoned the ether no such support,

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<v Speaker 1>we can no longer establish a system of coordinates like

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<v Speaker 1>the one just mentioned in a universal intermediate matter. And

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<v Speaker 1>if we were to arrive in one way or another

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<v Speaker 1>at a definite system of lines crossing each other in

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<v Speaker 1>three directions, then we should be able to use just

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<v Speaker 1>as well another similar system that, in respect to the

421
00:32:24.400 --> 00:32:28.920
<v Speaker 1>first moves this or that way. We should also be

422
00:32:29.000 --> 00:32:32.599
<v Speaker 1>able to remodel the system of coordinates in all kinds

423
00:32:32.599 --> 00:32:37.960
<v Speaker 1>of ways, for example by extension or compression. That in

424
00:32:38.000 --> 00:32:41.720
<v Speaker 1>all these cases, for fixed bodies that do not participate

425
00:32:41.799 --> 00:32:45.480
<v Speaker 1>in the movement or the remodeling of the system, other

426
00:32:45.559 --> 00:32:49.799
<v Speaker 1>coordinates will be read off again and again is clear.

427
00:32:52.559 --> 00:33:01.920
<v Speaker 1>End of section four, section five five of the Einstein

428
00:33:02.039 --> 00:33:07.440
<v Speaker 1>Theory of Relativity by Hendrik A. Lawnz. This LibriVox recording

429
00:33:07.480 --> 00:33:11.440
<v Speaker 1>is in the public domain recording by AVAI in February

430
00:33:11.480 --> 00:33:19.480
<v Speaker 1>twenty twenty. New system or coordinates. What way Einstein had

431
00:33:19.480 --> 00:33:24.079
<v Speaker 1>to follow is now apparent. He must, this hardly needs

432
00:33:24.119 --> 00:33:29.519
<v Speaker 1>to be said, in calculating definite particular cases make use

433
00:33:29.559 --> 00:33:33.200
<v Speaker 1>of a chosen system of coordinates. But as he had

434
00:33:33.240 --> 00:33:37.359
<v Speaker 1>no means of limiting his choice beforehand, and in general,

435
00:33:37.960 --> 00:33:41.920
<v Speaker 1>he had to reserve full liberty of action in this respect.

436
00:33:43.119 --> 00:33:47.279
<v Speaker 1>Therefore he made it his aim so to arrange the theory, that,

437
00:33:47.839 --> 00:33:52.160
<v Speaker 1>no matter how the choice was made, the phenomena of gravitation,

438
00:33:52.720 --> 00:33:56.240
<v Speaker 1>so far as its effects and its stimulation by the

439
00:33:56.319 --> 00:34:00.880
<v Speaker 1>attracting bodies are concerned, may always be described in the

440
00:34:01.000 --> 00:34:06.240
<v Speaker 1>same way, that is, through comparisons of the same general form.

441
00:34:06.599 --> 00:34:10.000
<v Speaker 1>As we again and again give certain values to the

442
00:34:10.119 --> 00:34:14.840
<v Speaker 1>numbers that mark the sphere of gravitation. For the sake

443
00:34:14.920 --> 00:34:20.039
<v Speaker 1>of simplification, I here disregard the fact that Einstein desires

444
00:34:20.159 --> 00:34:23.360
<v Speaker 1>that also the way in which time is measured and

445
00:34:23.599 --> 00:34:27.960
<v Speaker 1>represented by figures shall have no influence upon the central

446
00:34:28.039 --> 00:34:33.559
<v Speaker 1>value of the comparisons. Whether this aim could be attained

447
00:34:33.840 --> 00:34:38.280
<v Speaker 1>was a question of mathematical inquiry. It really was attained

448
00:34:38.480 --> 00:34:42.559
<v Speaker 1>remarkably enough, and we may say, to the surprise of

449
00:34:42.639 --> 00:34:47.559
<v Speaker 1>Einstein himself, although at the cost of considerable simplicity. In

450
00:34:47.599 --> 00:34:52.119
<v Speaker 1>the mathematical form, it appeared necessary for the fixation of

451
00:34:52.199 --> 00:34:55.559
<v Speaker 1>the field of gravitation in one or the other point

452
00:34:55.719 --> 00:35:00.440
<v Speaker 1>in space to introduce no fewer than ten quantity in

453
00:35:00.480 --> 00:35:03.599
<v Speaker 1>the place of the one that occurred in the example

454
00:35:03.719 --> 00:35:08.719
<v Speaker 1>mentioned above. In this connection, It is of importance to

455
00:35:08.840 --> 00:35:13.159
<v Speaker 1>note that when we exclude certain possibilities that would give

456
00:35:13.280 --> 00:35:18.119
<v Speaker 1>rise to still greater intricacies, the form of comparison used

457
00:35:18.159 --> 00:35:22.480
<v Speaker 1>by Einstein to present the theory is the only possible one.

458
00:35:23.159 --> 00:35:26.639
<v Speaker 1>The principle of the freedom of choice in coordinates was

459
00:35:26.679 --> 00:35:29.679
<v Speaker 1>the only one by which he needed to allow himself

460
00:35:29.760 --> 00:35:34.280
<v Speaker 1>to be guided. Although thus there was no special effort

461
00:35:34.400 --> 00:35:37.519
<v Speaker 1>made to reach a connection with the theory of Newton,

462
00:35:38.079 --> 00:35:42.280
<v Speaker 1>it was evident, fortunately, at the end of the experiment

463
00:35:42.559 --> 00:35:47.159
<v Speaker 1>that the connection existed. If we avail ourselves of the

464
00:35:47.199 --> 00:35:51.840
<v Speaker 1>simplifying circumstance that the velocities of the heavenly bodies are

465
00:35:51.920 --> 00:35:55.920
<v Speaker 1>slight in comparison with that of light, then we can

466
00:35:56.000 --> 00:35:59.760
<v Speaker 1>deduce the theory of Newton from the new theory, the

467
00:36:00.239 --> 00:36:06.320
<v Speaker 1>universal relativity theory as it is called by Einstein. Thus,

468
00:36:06.440 --> 00:36:10.480
<v Speaker 1>all the conclusions based upon the Newtonian theory hold good,

469
00:36:11.039 --> 00:36:15.159
<v Speaker 1>as must naturally be required. But now we have got

470
00:36:15.239 --> 00:36:19.719
<v Speaker 1>further along, the Newtonian theory can no longer be regarded

471
00:36:19.760 --> 00:36:24.880
<v Speaker 1>as absolutely correct. In all cases. There are slight deviations

472
00:36:24.920 --> 00:36:29.599
<v Speaker 1>from it, which, although as a rule unnoticeable, once in

473
00:36:29.639 --> 00:36:35.320
<v Speaker 1>a while, fall within the range of observation. Now, there

474
00:36:35.400 --> 00:36:38.639
<v Speaker 1>was a difficulty in the movement of the planet Mercury,

475
00:36:38.719 --> 00:36:43.199
<v Speaker 1>which could not be solved. Even after all the disturbances

476
00:36:43.280 --> 00:36:46.559
<v Speaker 1>caused by the attraction of other planets had been taken

477
00:36:46.679 --> 00:36:52.079
<v Speaker 1>into account, there remained an inexplicable phenomenon, that is, an

478
00:36:52.119 --> 00:36:56.519
<v Speaker 1>extremely slow turning of the ellipses described by Mercury on

479
00:36:56.599 --> 00:37:01.159
<v Speaker 1>its own plane. Leverrier had found that it amounted to

480
00:37:01.280 --> 00:37:07.079
<v Speaker 1>forty three seconds a century Einstein found that, according to

481
00:37:07.199 --> 00:37:13.199
<v Speaker 1>his formulas, this movement must really amount to just that much. Thus,

482
00:37:13.239 --> 00:37:16.199
<v Speaker 1>with a single blow he solved one of the greatest

483
00:37:16.320 --> 00:37:21.760
<v Speaker 1>puzzles of astronomy. Still more remarkable because it has a

484
00:37:21.800 --> 00:37:25.679
<v Speaker 1>bearing upon a phenomenon which formerly could not be imagined,

485
00:37:26.400 --> 00:37:30.679
<v Speaker 1>is the confirmation of Einstein's prediction regarding the influence of

486
00:37:30.760 --> 00:37:35.440
<v Speaker 1>gravitation upon the course of the rays of light. That

487
00:37:35.480 --> 00:37:39.840
<v Speaker 1>such an influence must exist is taught by a simple examination.

488
00:37:40.559 --> 00:37:43.039
<v Speaker 1>We have only to turn back for a moment to

489
00:37:43.119 --> 00:37:47.280
<v Speaker 1>the following comparison, in which we were just imagining ourselves

490
00:37:47.320 --> 00:37:51.880
<v Speaker 1>to make our observations. It was noted that when the

491
00:37:51.960 --> 00:37:56.320
<v Speaker 1>compartment is falling with the acceleration of nine hundred eighty one,

492
00:37:56.880 --> 00:38:00.320
<v Speaker 1>the phenomena therein will occur, just as if if there

493
00:38:00.320 --> 00:38:04.519
<v Speaker 1>were no attraction of gravitation. We can then see an

494
00:38:04.559 --> 00:38:10.559
<v Speaker 1>object A stand still somewhere in open space. A projectile

495
00:38:10.800 --> 00:38:14.880
<v Speaker 1>B can travel with constant speed along a horizontal line

496
00:38:15.320 --> 00:38:19.280
<v Speaker 1>without varying from it. In the slightest A ray of

497
00:38:19.360 --> 00:38:23.159
<v Speaker 1>light can do the same. Everybody will admit that in

498
00:38:23.199 --> 00:38:27.679
<v Speaker 1>each case, if there is no gravitation, light will certainly

499
00:38:27.760 --> 00:38:32.480
<v Speaker 1>extend itself in a rectilinear way. If we limit the

500
00:38:32.559 --> 00:38:35.960
<v Speaker 1>light to a flicker of the slightest duration, so that

501
00:38:36.119 --> 00:38:40.119
<v Speaker 1>only a little bit C of a ray of light arises,

502
00:38:41.000 --> 00:38:44.599
<v Speaker 1>or if we fix our attention upon a single vibration

503
00:38:44.760 --> 00:38:48.360
<v Speaker 1>of light C, while we, on the other hand, give

504
00:38:48.480 --> 00:38:52.559
<v Speaker 1>to the projectile B a speed equal to that of light,

505
00:38:53.360 --> 00:38:57.039
<v Speaker 1>then we can conclude that B and C, in their

506
00:38:57.119 --> 00:39:02.440
<v Speaker 1>continued motion, can always remain next to each other. Now,

507
00:39:02.480 --> 00:39:06.320
<v Speaker 1>if we watch all this not from the movable compartment,

508
00:39:06.800 --> 00:39:09.760
<v Speaker 1>but from a place on the earth, then we shall

509
00:39:09.800 --> 00:39:14.159
<v Speaker 1>note the usual falling movement of object A, which shows

510
00:39:14.280 --> 00:39:17.320
<v Speaker 1>us that we have to deal with the sphere of gravitation.

511
00:39:18.440 --> 00:39:22.840
<v Speaker 1>The projectile B will, in a bent path vary more

512
00:39:22.920 --> 00:39:26.800
<v Speaker 1>and more from a horizontal straight line, and the light

513
00:39:26.960 --> 00:39:30.639
<v Speaker 1>will do the same, because if we observe the movements

514
00:39:30.679 --> 00:39:34.480
<v Speaker 1>from another standpoint, this can have no effect upon the

515
00:39:34.559 --> 00:39:41.199
<v Speaker 1>remaining next to each other. Of B and C. End

516
00:39:41.199 --> 00:39:51.239
<v Speaker 1>of section five Section six of the Einstein Theory of

517
00:39:51.280 --> 00:39:56.400
<v Speaker 1>Relativity by Hendrik A. Lawrence. This LibriVox recording is in

518
00:39:56.440 --> 00:40:01.480
<v Speaker 1>the public domain recording by Avai in five February twenty twenty.

519
00:40:02.679 --> 00:40:07.599
<v Speaker 1>Deflection of light. The bending of a ray of light

520
00:40:07.800 --> 00:40:11.119
<v Speaker 1>thus described is much too light on the surface of

521
00:40:11.159 --> 00:40:15.480
<v Speaker 1>the Earth to be observed. But the attraction of gravitation

522
00:40:15.840 --> 00:40:20.239
<v Speaker 1>exercised by the Sun on its surface is, because of

523
00:40:20.280 --> 00:40:25.039
<v Speaker 1>its great mass, more than twenty seven times stronger, and

524
00:40:25.119 --> 00:40:28.480
<v Speaker 1>a ray of light that goes close by the superficies

525
00:40:28.519 --> 00:40:33.400
<v Speaker 1>of the Sun must surely be noticeably bent. The rays

526
00:40:33.400 --> 00:40:36.119
<v Speaker 1>of a star that are seen at a short distance

527
00:40:36.199 --> 00:40:39.480
<v Speaker 1>from the edge of the Sun will going along the

528
00:40:39.559 --> 00:40:44.239
<v Speaker 1>Sun deviate so much from the original direction that they

529
00:40:44.320 --> 00:40:47.360
<v Speaker 1>strike the eye of an observer as if they came

530
00:40:47.480 --> 00:40:51.199
<v Speaker 1>in a straight line from a point somewhat further removed

531
00:40:51.599 --> 00:40:54.239
<v Speaker 1>than the real position of the star from the Sun.

532
00:40:55.480 --> 00:40:58.519
<v Speaker 1>It is at that point that we think we see

533
00:40:58.559 --> 00:41:02.840
<v Speaker 1>the star. So here is a seeming displacement from the Sun,

534
00:41:03.360 --> 00:41:06.320
<v Speaker 1>which increases in the measure in which the star is

535
00:41:06.360 --> 00:41:11.800
<v Speaker 1>observed closer to the Sun. The Einstein theory teaches that

536
00:41:11.920 --> 00:41:16.280
<v Speaker 1>the displacement is in inverse proportion to the apparent distance

537
00:41:16.320 --> 00:41:19.599
<v Speaker 1>of the star from the center of the Sun, and

538
00:41:19.679 --> 00:41:22.480
<v Speaker 1>that for a star just on its edge, it will

539
00:41:22.559 --> 00:41:27.880
<v Speaker 1>amount to one point seventy five seconds. This is approximately

540
00:41:27.960 --> 00:41:33.960
<v Speaker 1>the thousandth part of the apparent diameter of the Sun. Naturally,

541
00:41:34.199 --> 00:41:37.159
<v Speaker 1>the phenomenon can only be observed when there is a

542
00:41:37.199 --> 00:41:41.400
<v Speaker 1>total eclipse of the Sun. Then one can take photographs

543
00:41:41.400 --> 00:41:45.000
<v Speaker 1>of neighboring stars, and through comparing the plate with a

544
00:41:45.079 --> 00:41:48.519
<v Speaker 1>picture of the same part of the heavens taken at

545
00:41:48.559 --> 00:41:52.119
<v Speaker 1>a time when the Sun was far removed from that point,

546
00:41:52.599 --> 00:41:58.679
<v Speaker 1>the salt for movement to one side may become apparent. Thus,

547
00:41:59.119 --> 00:42:02.360
<v Speaker 1>to put the ein Einstein theory to the test was

548
00:42:02.400 --> 00:42:06.079
<v Speaker 1>the principal aim of the English expeditions sent out to

549
00:42:06.159 --> 00:42:10.480
<v Speaker 1>observe the eclipse of May twenty ninth, one to Prince's

550
00:42:10.480 --> 00:42:15.639
<v Speaker 1>Island off the coast of Guinea, and the other to Sobral, Brazil.

551
00:42:16.760 --> 00:42:22.159
<v Speaker 1>The first named expeditions observers were Eddington and Cottingham, those

552
00:42:22.199 --> 00:42:27.519
<v Speaker 1>of the second Crommelin and Davidson. The conditions were especially

553
00:42:27.559 --> 00:42:31.320
<v Speaker 1>favorable for a very large number of bright stars were

554
00:42:31.360 --> 00:42:35.920
<v Speaker 1>shown on the photographic plate, the observers at Sobral being

555
00:42:36.000 --> 00:42:41.719
<v Speaker 1>particularly lucky in having good weather. The total eclipse lasted

556
00:42:41.800 --> 00:42:45.679
<v Speaker 1>five minutes, during four of which it was perfectly clear,

557
00:42:46.159 --> 00:42:50.239
<v Speaker 1>so that good photographs could be taken. In the report

558
00:42:50.440 --> 00:42:54.760
<v Speaker 1>issued regarding the results, the following figures, which are the

559
00:42:54.800 --> 00:42:58.400
<v Speaker 1>average of the measurements made from the seven plates, are

560
00:42:58.440 --> 00:43:03.800
<v Speaker 1>given for the displacement of seven stars one point zero

561
00:43:03.920 --> 00:43:09.679
<v Speaker 1>two seconds, zero point nine two seconds, zero point eight

562
00:43:09.800 --> 00:43:15.880
<v Speaker 1>four seconds, zero point five eight seconds, zero point five

563
00:43:16.119 --> 00:43:22.000
<v Speaker 1>four seconds, zero point three six seconds, zero point two

564
00:43:22.079 --> 00:43:28.280
<v Speaker 1>four seconds, Whereas according to the theory, the displacements should

565
00:43:28.320 --> 00:43:33.719
<v Speaker 1>have amounted to zero point eight eight seconds, zero point

566
00:43:33.840 --> 00:43:39.760
<v Speaker 1>eight zero seconds, zero point seven five seconds, zero point

567
00:43:39.880 --> 00:43:45.800
<v Speaker 1>four zero seconds, zero point five two seconds, zero point

568
00:43:45.840 --> 00:43:52.599
<v Speaker 1>three three seconds, zero point two zero seconds. If we

569
00:43:52.800 --> 00:43:57.679
<v Speaker 1>consider that, according to the theory, the displacements must be

570
00:43:57.880 --> 00:44:01.239
<v Speaker 1>in inverse ratio to the disc distance from the center

571
00:44:01.320 --> 00:44:04.559
<v Speaker 1>of the Sun, then we made the deuce from each

572
00:44:04.639 --> 00:44:09.360
<v Speaker 1>observed displacement, how great the sideways movement for a star

573
00:44:09.559 --> 00:44:13.000
<v Speaker 1>at the edge of the Sun should have been as

574
00:44:13.039 --> 00:44:17.679
<v Speaker 1>the most probable result. Therefore, the number one point nine

575
00:44:17.800 --> 00:44:23.360
<v Speaker 1>eight second was found from all the observations together, as

576
00:44:23.400 --> 00:44:27.639
<v Speaker 1>the last of the displacements given above, that is zero

577
00:44:27.760 --> 00:44:31.719
<v Speaker 1>point two four seconds, is about one eighth of this.

578
00:44:32.559 --> 00:44:35.639
<v Speaker 1>We may say that the influence of the attraction of

579
00:44:35.679 --> 00:44:39.480
<v Speaker 1>the sun upon light made itself felt upon the ray

580
00:44:39.599 --> 00:44:45.559
<v Speaker 1>at a distance eight times removed from its center. The

581
00:44:45.639 --> 00:44:50.679
<v Speaker 1>displacements calculated according to the theory are just because of

582
00:44:50.719 --> 00:44:54.840
<v Speaker 1>the way in which they are calculated in inverse proportion

583
00:44:55.039 --> 00:44:59.000
<v Speaker 1>to the distance to the center. Now that the observed

584
00:44:59.079 --> 00:45:03.320
<v Speaker 1>deviations also accord with the same rule, it follows that

585
00:45:03.400 --> 00:45:08.679
<v Speaker 1>they are surely proportionate with the calculated displacements. The proportion

586
00:45:08.840 --> 00:45:12.880
<v Speaker 1>of the first and the last observed sideways movements is

587
00:45:13.000 --> 00:45:16.760
<v Speaker 1>four point zero, and that of the two most extreme

588
00:45:16.840 --> 00:45:22.559
<v Speaker 1>of the calculated numbers is four point four. This result

589
00:45:22.800 --> 00:45:27.679
<v Speaker 1>is of importance because thereby the theory is excluded, or

590
00:45:27.760 --> 00:45:32.559
<v Speaker 1>at least made extremely improbable, that the phenomenon of refraction

591
00:45:32.960 --> 00:45:36.119
<v Speaker 1>is to be ascribed to a ring of vapor surrounding

592
00:45:36.159 --> 00:45:41.039
<v Speaker 1>the Sun for a great distance. Indeed, such a refraction

593
00:45:41.199 --> 00:45:45.800
<v Speaker 1>should cause a deviation in the observed direction, and in

594
00:45:45.960 --> 00:45:49.239
<v Speaker 1>order to produce the displacement of one of the stars

595
00:45:49.360 --> 00:45:54.039
<v Speaker 1>under observation itself, a slight proximity of the vapor ring

596
00:45:54.119 --> 00:45:58.159
<v Speaker 1>should be sufficient. But we have every reason to expect

597
00:45:58.480 --> 00:46:01.199
<v Speaker 1>that if it were merely a christion of a mass

598
00:46:01.239 --> 00:46:05.840
<v Speaker 1>of gas around the Sun, the diminishing effect accompanying a

599
00:46:06.000 --> 00:46:10.719
<v Speaker 1>removal from the Sun should manifest itself much faster than

600
00:46:10.840 --> 00:46:16.159
<v Speaker 1>is really the case. We cannot speak with perfect certainty here,

601
00:46:16.639 --> 00:46:19.519
<v Speaker 1>as all the factors that might be of influence upon

602
00:46:19.559 --> 00:46:23.760
<v Speaker 1>the distribution of density in the sun atmosphere are not

603
00:46:23.880 --> 00:46:27.880
<v Speaker 1>well enough known, but we can surely demonstrate that in

604
00:46:28.000 --> 00:46:31.199
<v Speaker 1>case one of the gases with which we are acquainted

605
00:46:31.440 --> 00:46:35.679
<v Speaker 1>were held in equilibrium solely by the influence of attraction

606
00:46:35.880 --> 00:46:40.079
<v Speaker 1>of the Sun, the phenomenon should become much less as

607
00:46:40.079 --> 00:46:42.840
<v Speaker 1>soon as we got somewhat further from the edge of

608
00:46:42.880 --> 00:46:47.639
<v Speaker 1>the Sun. If the displacement of the first star, which

609
00:46:47.679 --> 00:46:51.760
<v Speaker 1>amounts to one point zero two seconds, were to be

610
00:46:51.840 --> 00:46:56.119
<v Speaker 1>ascribed to such a mass of gas, then the displacement

611
00:46:56.239 --> 00:47:02.960
<v Speaker 1>of the second must already be entirely inappreciated. So far

612
00:47:03.159 --> 00:47:07.679
<v Speaker 1>as the absolute extent of the displacements is concerned, it

613
00:47:07.800 --> 00:47:11.519
<v Speaker 1>was found somewhat too great, as has been shown by

614
00:47:11.599 --> 00:47:15.760
<v Speaker 1>the figures given above. It also appears from the final

615
00:47:15.840 --> 00:47:19.480
<v Speaker 1>result to be one point nine eight for the edge

616
00:47:19.480 --> 00:47:23.719
<v Speaker 1>of the sun, that is thirteen percent greater than the

617
00:47:23.719 --> 00:47:29.320
<v Speaker 1>theoretical value of one point seven five. It indeed seems

618
00:47:29.519 --> 00:47:33.760
<v Speaker 1>that the discrepancies may be ascribed to faults in observations,

619
00:47:34.320 --> 00:47:38.639
<v Speaker 1>which supposition is supported by the fact that the observations

620
00:47:38.760 --> 00:47:42.840
<v Speaker 1>at Prince's Island, which it is true that not turn

621
00:47:42.920 --> 00:47:46.639
<v Speaker 1>out quite as well as those mentioned above, gave the

622
00:47:46.679 --> 00:47:52.079
<v Speaker 1>result of one point six four, somewhat lower than Einstein's figure.

623
00:47:53.519 --> 00:47:57.920
<v Speaker 1>The observations made with the second instrument that sobral gave

624
00:47:57.960 --> 00:48:02.280
<v Speaker 1>a result of zero point nine three. But the observers

625
00:48:02.320 --> 00:48:05.360
<v Speaker 1>are of the opinion that, because of the shifting of

626
00:48:05.400 --> 00:48:09.239
<v Speaker 1>the mirror which reflected the race, no value is to

627
00:48:09.280 --> 00:48:21.519
<v Speaker 1>be attached to it. End of section six Section seven

628
00:48:21.800 --> 00:48:26.639
<v Speaker 1>of the Einstein Theory of Relativity by Hendrik A. Lawrenz.

629
00:48:27.480 --> 00:48:31.480
<v Speaker 1>This LibriVox recording is in the public domain. Recording by

630
00:48:31.599 --> 00:48:41.280
<v Speaker 1>AVAI in February twenty twenty. Difficulty exaggerated during a discussion

631
00:48:41.320 --> 00:48:44.440
<v Speaker 1>of the results obtained at a joint meeting of the

632
00:48:44.559 --> 00:48:50.039
<v Speaker 1>Royal Society and the Royal Astronomical Society held especially for

633
00:48:50.159 --> 00:48:54.679
<v Speaker 1>that purpose recently in London. It was the general opinion

634
00:48:54.800 --> 00:49:00.559
<v Speaker 1>that Einstein's prediction might be regarded as justified, and tributes

635
00:49:00.599 --> 00:49:05.400
<v Speaker 1>to his genius were made on all sides. Nevertheless, I

636
00:49:05.480 --> 00:49:09.760
<v Speaker 1>cannot refrain, while I am mentioning it, from expressing my

637
00:49:09.880 --> 00:49:14.880
<v Speaker 1>surprise that, according to the report in the Times, there

638
00:49:14.880 --> 00:49:19.000
<v Speaker 1>should be so much complaint about the difficulty of understanding

639
00:49:19.039 --> 00:49:23.559
<v Speaker 1>the new theory. It is evident that Einstein's little book

640
00:49:24.159 --> 00:49:27.480
<v Speaker 1>about the Special and the General theory of Relativity in

641
00:49:27.559 --> 00:49:32.360
<v Speaker 1>plain terms did not find its way into England during wartime.

642
00:49:33.320 --> 00:49:37.159
<v Speaker 1>Anyone reading it will, in my opinion, come to the

643
00:49:37.239 --> 00:49:41.079
<v Speaker 1>conclusion that the basic ideas of the theory are really

644
00:49:41.199 --> 00:49:44.960
<v Speaker 1>clear and simple. It is only to be regretted that

645
00:49:45.079 --> 00:49:49.440
<v Speaker 1>it was impossible to avoid clothing them in pretty involved

646
00:49:49.559 --> 00:49:55.199
<v Speaker 1>mathematical terms. But we must not worry about that. I

647
00:49:55.239 --> 00:49:59.599
<v Speaker 1>allow myself to add that as we follow Einstein we

648
00:49:59.679 --> 00:50:03.559
<v Speaker 1>may retain much of what has been formally gained. The

649
00:50:03.599 --> 00:50:07.440
<v Speaker 1>Newtonian theory remains in its full value as the first

650
00:50:07.519 --> 00:50:12.880
<v Speaker 1>great step without which one cannot imagine the development of astronomy,

651
00:50:13.519 --> 00:50:17.079
<v Speaker 1>and without which the second step that has now been

652
00:50:17.119 --> 00:50:22.320
<v Speaker 1>made would hardly have been possible. It remains, moreover as

653
00:50:22.360 --> 00:50:28.440
<v Speaker 1>the first, and in most cases sufficient approximation. It is

654
00:50:28.519 --> 00:50:33.000
<v Speaker 1>true that according to Einstein's theory, because it leaves us

655
00:50:33.159 --> 00:50:35.800
<v Speaker 1>entirely free as to the way in which we wish

656
00:50:35.920 --> 00:50:40.119
<v Speaker 1>to represent the phenomena, we can imagine an idea of

657
00:50:40.159 --> 00:50:43.599
<v Speaker 1>the Solar system in which the planets follow paths of

658
00:50:43.760 --> 00:50:48.039
<v Speaker 1>peculiar form, and the rays of light shine along sharply

659
00:50:48.119 --> 00:50:53.599
<v Speaker 1>bent lines. Think of a twisted and distorted planetarium. But

660
00:50:53.719 --> 00:50:57.239
<v Speaker 1>in every case where we apply it to concrete questions,

661
00:50:57.679 --> 00:51:01.320
<v Speaker 1>we shall so arrange it that the planet describe almost

662
00:51:01.440 --> 00:51:06.039
<v Speaker 1>exact ellipses, and the rays of light almost straight lines.

663
00:51:07.719 --> 00:51:11.519
<v Speaker 1>It is not necessary to give up entirely even the ether.

664
00:51:12.599 --> 00:51:16.960
<v Speaker 1>Many natural philosophers find satisfaction in the idea of a

665
00:51:17.079 --> 00:51:22.480
<v Speaker 1>material intermediate substance in which the vibrations of light take place,

666
00:51:23.159 --> 00:51:26.320
<v Speaker 1>and they will very probably be all the more inclined

667
00:51:26.440 --> 00:51:30.679
<v Speaker 1>to imagine such a medium when they learn that, according

668
00:51:30.719 --> 00:51:36.440
<v Speaker 1>to the Einstein theory, gravitation itself does not spread instantaneously,

669
00:51:37.000 --> 00:51:40.440
<v Speaker 1>but with a velocity that, at the first estimate may

670
00:51:40.480 --> 00:51:45.599
<v Speaker 1>be compared with that of light. Especially in former years

671
00:51:45.679 --> 00:51:50.679
<v Speaker 1>where such interpretations, current and repeated attempts were made by

672
00:51:50.840 --> 00:51:54.679
<v Speaker 1>speculations about the nature of the ether and about the

673
00:51:54.800 --> 00:51:58.760
<v Speaker 1>mutations and movements that might take place in it, to

674
00:51:58.960 --> 00:52:04.320
<v Speaker 1>arrive at a clear presentation of electromagnetic phenomena and also

675
00:52:04.519 --> 00:52:08.960
<v Speaker 1>of the functioning of gravitation. In my opinion, it is

676
00:52:09.000 --> 00:52:13.840
<v Speaker 1>not impossible that in the future this road indeed abandoned

677
00:52:13.960 --> 00:52:18.159
<v Speaker 1>at present, will once more be followed with good results,

678
00:52:18.519 --> 00:52:21.360
<v Speaker 1>if only because it can lead to the thinking out

679
00:52:21.519 --> 00:52:27.440
<v Speaker 1>of new experimental tests. Einstein's theory need not keep us

680
00:52:27.480 --> 00:52:31.519
<v Speaker 1>from so doing. Only the ideas about the ether must

681
00:52:31.559 --> 00:52:37.599
<v Speaker 1>accord with it. Nevertheless, even without the color and clearness

682
00:52:37.639 --> 00:52:40.760
<v Speaker 1>that the ether theories and the other models may be

683
00:52:40.880 --> 00:52:44.920
<v Speaker 1>able to give, and even we can feel it this way,

684
00:52:45.599 --> 00:52:50.599
<v Speaker 1>just because of the soberness induced by their absence, Einstein's work,

685
00:52:50.880 --> 00:52:55.840
<v Speaker 1>we may now positively expect, will remain a monument of science.

686
00:52:56.559 --> 00:53:01.480
<v Speaker 1>His theory entirely fulfills the first and principal demand that

687
00:53:01.559 --> 00:53:05.480
<v Speaker 1>we may make, that of deducing the course of phenomena

688
00:53:05.679 --> 00:53:12.000
<v Speaker 1>from certain principles exactly and to the smallest details. It

689
00:53:12.079 --> 00:53:15.760
<v Speaker 1>was certainly fortunate that he himself put the ether in

690
00:53:15.840 --> 00:53:19.639
<v Speaker 1>the background. If he had not done so, he probably

691
00:53:19.639 --> 00:53:22.880
<v Speaker 1>would never have come upon the idea that has been

692
00:53:22.920 --> 00:53:29.000
<v Speaker 1>the foundation of all his examinations. Thanks to his indefatigable

693
00:53:29.159 --> 00:53:34.360
<v Speaker 1>exertions and perseverance, for he had great difficulties to overcome

694
00:53:34.440 --> 00:53:38.840
<v Speaker 1>in his attempts, Einstein has attained the results which I

695
00:53:38.920 --> 00:53:42.800
<v Speaker 1>have tried to sketch while still young. He is now

696
00:53:42.880 --> 00:53:48.559
<v Speaker 1>forty five years old. He completed his first investigations in Switzerland,

697
00:53:48.920 --> 00:53:52.000
<v Speaker 1>where he first was engaged in the patent bureau at

698
00:53:52.079 --> 00:53:56.400
<v Speaker 1>bern and later as a professor at the Polytechnic in Zurich.

699
00:53:57.679 --> 00:54:00.639
<v Speaker 1>After having been a professor for a short time at

700
00:54:00.639 --> 00:54:05.079
<v Speaker 1>the University of Prague, he settled in Berlin, where the

701
00:54:05.159 --> 00:54:10.000
<v Speaker 1>Kaiser Wilhelm Institute afforded him the opportunity to devote himself

702
00:54:10.079 --> 00:54:16.320
<v Speaker 1>exclusively to his scientific work. He repeatedly visited our country

703
00:54:16.440 --> 00:54:20.360
<v Speaker 1>and made his Netherland colleagues, among whom he counts many

704
00:54:20.400 --> 00:54:25.639
<v Speaker 1>good friends partners in his studies and his results. He

705
00:54:25.679 --> 00:54:29.599
<v Speaker 1>attended the last meeting of the Department of Natural Philosophy

706
00:54:29.719 --> 00:54:33.639
<v Speaker 1>of the Royal Academy of Sciences, and the members then

707
00:54:33.800 --> 00:54:38.360
<v Speaker 1>had the privilege of hearing him explain in his own fascinating,

708
00:54:38.559 --> 00:54:43.639
<v Speaker 1>clear and simple way, his interpretations of the fundamental questions

709
00:54:44.079 --> 00:54:51.000
<v Speaker 1>to which his theory gives rise. End of Section seven,

710
00:54:52.519 --> 00:54:57.480
<v Speaker 1>end of the Einstein Theory of Relativity, A concise statement

711
00:54:58.079 --> 00:55:02.119
<v Speaker 1>by Hendrik A. Lawns. Thanks for listening.
