Aionics II: Theory of Principles

We present Aionics, a foundational framework in which physical law is derived from con-straints on realizable transitions rather than from primitive notions of time, dynamics, or space-time. Starting from minimal operational requirements—composability, comparability, and lo-cality of realizable processes—we prove that any empirically meaningful theory must admit anadditive ordering functional on realizable paths. This functional is not assumed to be time, buttime arises as one possible representation.We further show that boundary entropy obeys a universal structure dictated entirely byredundancy and topology. In particular, we prove that global constraint quotienting forces alogarithmic entropy correction whose coefficient is fixed by the rank of boundary redundancyand by topological harmonic modes. For a spherical interface in four dimensions, this yieldsthe universal − 32 ln A correction, while each additional handle contributes a quantized −1 shift.These results are obtained without invoking quantum gravity dynamics, holography, or field-theoretic anomalies.Aionics reframes geometry, entropy, and time as consequences of realizability constraints.We provide explicit falsification criteria and identify the precise assumptions under which theframework fails.