On the mechanics of motion and propagation in a binate frame

Details On the mechanics of motion and propagation in a binate frame On the mechanics of motion and propagation in a binate frame

2011-10-07

arxiv.org/abs/1110.1661v1

Physics

Classical Physics

Scientific paper

Since clocks are not needed to observe many physical phenomena where light propagates among moving bodies, it should be possible to explain these observations without clock synchronization considerations. The paper provides such explanations. It uses a new type of reference system, a binate frame where all four coordinates of an event are physical distances. In a binate frame, familiar relativistic notions such as 'speed of light', 'time dilation', and 'Lorentz transformations' are not needed. We show that light's unique ability to propagate without material support endows the manifold of events with a non-diagonal metric of Lorentz signature. All our kinematical analyses of familiar phenomena then yield the results expected from Special Relativity. For dynamical analyses, we use a second form of Hamilton's principle, which obtains the usual canonical equations for the phase variables. And for electrodynamics applications, we employ the covariant form of Maxwell's equations, presented in binate-frame coordinatization.

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