From Galileo to Lorentz... and beyond by Joseph Lévy

By Joseph Lévy

Relativity concept has enabled physics to take an outstanding breakthrough. however, not like a lot of his fans, Einstein was once now not happy together with his conception. in reality, in a 1947 letter to his pal Maurice Solovine he acknowledged: "You think that deep down inside of I regard the paintings of my lifestyles with calm pride, the issues are particularly diverse. there isn't a unmarried notion of which i'm confident that it'll stand firm." Einstein's issues are analysed within the booklet From Galileo to Lorentz... and past. As validated within the publication, traditional relativity fails to reply to a number of primary questions. a brand new set of space-time differences is derived that hide a much wider diversity of evidence than the Lorentz differences, and make allowance us to respond to questions which are unresolved by way of traditional relativity. the consequences for primary physics are a long way attaining.

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We will designate the speed of reference frame S1 with respect to S0 as v01 , the speed of S2 with respect to S0 as v02 , and the speed of S2 with respect to S1 as v12. ) The length of rod O′′A would be A0 if frame S2 were at rest with respect to the Cosmic Substratum. But, as a result of its motion, O′′A is contracted, and assumes the length A, such that 2 A = A 0 1 − v02 C2 . When the body reaches point A, it meets a clock CA equipped with a mirror, firmly tied to frame S1 and standing at a point A′ in this frame (so that when the body arrives at point A, A and A′ are coincident).

It should be noted that, in conventional physics, when the relativity principle is assumed, the expression for the kinetic energy is plagued by a serious internal contradiction. Indeed, when a body passes from one inertial system S0 to another S1, assuming that v01 << C , it acquires the kinetic energy. From Galileo to Lorentz… and Beyond 31 1 2 m0 v01 . 18) ( m2 − m0 ) C 2 ≅ m0 v022 . 17) is 1 2 2 m0 ( v02 − v01 ), 2 which is different from m0 v122 2 . ) Suppose that v01 = v12 = v . Assuming that v << C , we easily check that the kinetic energy increase from S1 to S2 is 3m0 v 2 2 .

Some—such as Wesley,31 Phipps,33 Cornille,34 Galeczki35—regard length contraction as a naïve conjecture. 30 Length contraction was originally proposed by Lorentz and Fitzgerald in order to explain the null result of the Michelson experiment. ) Length contraction has never been observed: of course, it cannot be demonstrated by an observer of the moving frame, since the standard used to measure it also contracts. But it might be verified indirectly. This was the objective of various renowned physicists who tried to observe the physical changes brought about by motion: variation of the refractive index of a refringent solid (Rayleigh39 and Brace40); influence of the aether wind on a charged condenser whose plates form a certain angle with the direction of translation (Trouton and Noble41); experiments of Trouton and Rankine42 and of Chase43 and Tomashek44 on the electrical resistance of moving objects; and finally the Wood, Tomlison and Essex45 experiments on the frequency of the longitudinal vibration of a rod.

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