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ZM theory I: Introduction and Lorentz covariance

Yaneer Bar-Yam
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Abstract

We consider defining time as a function of a cyclical field, an abstraction of a clock. The definition of time corresponds to a novel interpretation of the relationship between space-time coordinates of observers at different locations in space. As a first test of the utility of this definition, we show that it leads to a Lorentz covariant description of space-time. This derivation of Lorenz covariance provides a starting point for considering more general constructions that relate to physical laws. The definition of time couples time to space, making time not orthogonal to space, and making dynamics a result of geometry, providing a vehicle for curved space-time theories that generalize general relativity.

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Yaneer Bar-Yam. 2006-02-24. ZM theory I: Introduction and Lorentz covariance. https://arxiv.org/abs/gr-qc/0602099

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