Relativity of spatial scale and of the Hubble flow: The logical foundations of relativity and cosmology

Abstract

Formalising the logical dependence of physical quantities on material referents of scale, I show that both Hubble's law and the cosmological constant are in fact exactly replicable by a spatial contraction of referents locally on earth, and that the Pioneer anomaly is irrefutable indication that this is the case. The formalism literally embodies Feynman's ``hot-plate'' model, predictably yielding a logical derivation of the relativity postulates, and importantly, suffices to demonstrate the inherent logical consistency of general relativity and quantum mechanics, whose foundations I have shown separately to be fundamentally computational. I further show that the spatial contraction of our referents also accounts for considerable planetary and geological data inexplicable in the standard model, and predicts that the Hubble flow appears differently or is altogether absent from platforms in deep space, depending on the local physics.