Abstract
We address to the conservative relativity principle (CRP), which we recently advanced (A.L. Kholmetskii, et al. Eur. Phys. J. Plus 129 (2014) 102). This principle asserts the impossibility to distinguish the state of rest and the state of motion of a system moving at constant velocity, if no work is done to the system in question during its motion; such a constraint is thus closely linked to the energy-momentum conservation law. Therefore, the conservative relativity principle, along with the Einstein special relativity principle (which obviously represents the particular manifestation of CRP in the case of empty space), and the general relativity principle can be considered as the cornerstones of modern physics. At the same time, some principal implications of CRP – e.g. the dependence of the proper time of a charged particle on the electric potential at its location, happens to be firmly at odds with the established structure of modern physics and, in fact, is not accepted by the wide scientific communi...
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