However, he critically noted that the Relativity Principle, Newton's action and reaction, the conservation of mass, and the conservation of energy are not fully established and are even threatened by some experiments.
32.
He continued that as long as a consistent explanation is missing as to how those forces and potentials act together on the electron, Lorentz's system of hypotheses is incomplete and doesn't satisfy the relativity principle.
33.
In that article titled " On the Relativity Principle and the Conclusions Drawn from It ", he argued that free fall is really inertial motion, and that for a free-falling observer the rules of special relativity must apply.
34.
Summarizing : While the rest distance between the ships increases to \ gamma L in S2, the relativity principle requires that the string ( whose physical constitution is unaltered ) maintains its rest length L in its new rest system S2.
35.
Poincar?then went on to consider Le Sage's theory in the context of the " new dynamics " that had been developed at the end of the 19th and the beginning of the 20th centuries, specifically recognizing the relativity principle.
36.
Although this theory was founded on a very different kinematical model, it was experimentally indistinguishable from the aether theory of Lorentz and Poincar? since both theories satisfy the relativity principle of Poincar?and Einstein, and both employ the Lorentz transformations.
37.
It was later shown by Howard Percy Robertson ( 1949 ) and others ( see group character of the Lorentz transformation as required by the relativity principle ) that the individual values of length contraction and time dilation must assume their exact relativistic form.
38.
It was demonstrated by Poincar?and Einstein that one has to set l = 1 in order to make the above transformation symmetric and to form a group as required by the relativity principle, therefore the Lorentz transformation is the only viable choice.
39.
The distinction between a weak and a strong version of this hypothesis is also a later invention; Sapir and Whorf never set up such a dichotomy, although often in their writings their views of this relativity principle are phrased in stronger or weaker terms.
40.
In 1907 Einstein criticized the " ad hoc " character of Lorentz's contraction hypothesis in his theory of electrons, because according to him it was an artificial assumption to make the Michelson Morley experiment conform to Lorentz's stationary aether and the relativity principle.
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