2. W. M. Stuckey, Leibniz's Principle, Dynamism, and Nonlocality

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Volume 12: Pages 414-419, 1999

Leibniz's Principle, Dynamism, and Nonlocality

W. M. Stuckey

Department of Physics, Elizabethtown College, Elizabethtown, Pennsylvania 17022 U.S.A.

I argue that the spacetime perspective is supported by a fundamental principle of standard set theory—multiplicity iff discernability. I contend quantum nonlocality refutes dynamism and weighs against the differentiable manifold as a model of spacetime. I then suggest a pregeometric model of spacetime divorced from and fundamental to dynamism, i.e., without reference to interacting transtemporal objects. This proposal employs uniform spaces generated via topological groups. The uniformities on the set underlying the group structures of order 4 with the discrete topology are used as a toy model to illustrate this idea.

Keywords: Leibniz's principle, dynamism, nonlocality, EPR paradox, Bell's inequality, spacetime

Received: September 30, 1997; Published online: December 15, 2008