Journal of Theoretics
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چکیده
Einstein's equivalence principle, which states the local equivalence between gravity and acceleration with respect to a frame of reference, requires that a free falling observer result in a co-moving local Minkowski space as a spaceship under only the influence of gravity. However, a "free fall" in a Lorentz manifold may not uniquely result in a local Minkowski space, and a Lorentz manifold with a non-constant metric need not imply the existence of static acceleration. Thus, Einstein’s equivalence principle, different from Pauli’s version, requires that the physics related to the local coordinate transformation must be proven valid. It is shown that Einstein’s equivalence principle restricts the valid space-time coordinate systems to ensure Einstein’s Riemannian space-time to be a physical space. Experimentally, the light bending supports the Euclidean-like structure of the frame of refer-ence, and the gravitational redshifts support that time is defined “at the rate of a clock depends upon where the clock may be.” Moreover, the observed gravitational redshifts illustrate that physically valid diffeomorphisms and space-time coordinate sys-tems are restricted by Einstein's equivalence principle. Thus, Pauli’s version of equivalence principle is inadequate since some Lorentz manifolds are not valid in physics and diffeomorphic manifolds may not be equivalent. It is interesting to note that the earliest experimental support of Einstein’s equivalence principle would be the MichelsonMorley experiment.
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تاریخ انتشار 2003