Mathematical Physics

    

Reversibility and Determinism in an Expanding Universe

Authors: J. Vianney Koelman

A graph-theoretical toy model is presented that allows us to study the degrees of freedom in globally hyperbolic discrete causal structures governed by a deterministic local rule. We observe that expanding structures compared to structures static in sizes behave markedly dierent. In expanding causal structures, the degrees of freedom can not all be localised in the past, and it is not meaningful to treat these degrees of freedom as initial conditions. As a result, the past no longer determines the future and determinism loses its meaning. This invalidates the argument of free will being incompatible with deterministic laws.

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[v1] 2025-04-09 23:24:51

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