By Joseph Lévy
Assuming the lifestyles of a basic aether body and the anisotropy of the one-way velocity of sunshine within the Earth body, evidence supported by means of theoretical arguments and many times proven this day by means of scan, J. Levy derives a collection of space-time adjustments which are extra common than the Lorentz-Poincaré ameliorations. the consequences for primary physics are proven to be far-reaching.
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Additional resources for From Galileo To Lorentz. And Beyond: Principles of a Fundamental Theory of Space and Time
Actually, the relationship V = v0 + vr < C imposes a limit on vr such that vr < C − v0 , and consequently, vapp < C − v0 . 1 − v02 C 2 So, contrary to conventional belief, the law m = m0γ is not incompatible with the Galilean law of composition of velocities. Inertial transformations in the general case We will now derive the inertial transformations connecting two inertial frames S1 and S2 moving with respect to the aether frame S0 at speeds v01 and v02 along the x0-axis (Figure 10). At the initial instant (0), O, O′ and O′′ are coincident.
Important remark A0 is not the real co-ordinate of point A relative to S2 along the x2-axis; the real coordinate is A. The fact that authors are not aware of this is a source of much confusion. It should also be pointed out that, contrary to what is often believed, X1app, T1app and V1app are all apparent (fictitious) co-ordinates. Conclusion Starting from the Galilean transformations and assuming the Lorentz postulates, we have obtained a set of transformations applicable to all pairs of inertial bodies aligned along the direction of motion of the Solar system, even if none of the bodies is at rest in the Cosmic Substratum (aether frame).
Indeed, in order to demonstrate the law m = m0γ , we generally make use (as Einstein did) of the law of conservation of total relativistic momentum in any inertial frame, which applies in relativity theory. If Lorentz’s theory is reducible to Galileo’s, this conservation law cannot be used to demonstrate m = m0γ . Thus, at first sight, Lorentz’s other assumptions seemed incompatible with one of them m = m0 γ , which is an important experimental law. Finally, the fact that the Lorentz assumptions are not compatible with the relativity principle seemed to constitute an important objection to this approach.