Speculative first-principles papers on foundational physics. Diagnostic rather than prescriptive — examining assumptions that experimental practice usually treats as exact, and identifying the structural constraints that distinguish fundamental properties from emergent ones.
Translational symmetry and the associated conservation of momentum are central assumptions underlying classical and modern physical theories, typically treated as exact despite being inferred from observations on finite, environmentally embedded systems. This paper introduces an unconstrained acceleration-like term into Newtonian dynamics and analyzes the conditions under which standard observables remain invariant. Preserving familiar observables imposes strong structural constraints, suggesting that translational symmetry may be an emergent, scale-dependent property rather than a fundamental one.
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