Spacetime quantization, generalized relativistic mechanics, and Mach's principle

Details Spacetime quantization, generalized relativistic mechanics, and Mach's principle Spacetime quantization, generalized relativistic mechanics, and Mach's principle

Jun 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978foph....8..399m&link_type=abstract

Foundations of Physics, Volume 8, Issue 5-6, pp. 399-415

Physics

1

Scientific paper

The introduction of an “elementary length” a representing the ultimate limit for the smallest measurable distance leads to a generalization of Einstein's energy-momentum relation and of the usual Lorentz transformation. The value of a is left unspecified, but is found to be equal to hc/2E u, where E u is the total energy content of our universe. Particles of zero rest mass can only move at the velocity c of light in vacuum, while material bodies can move slower or faster than light, when a≠0, without violating the principle of causality. The laws of relativistic mechanics are actually generalized so that they include Mach's principle, since it is found that the universe as a whole can only be in a state of rest for any particular inertial observer.

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