Vacuum Information Density as the Fundamental Geometric Scalar: A Structural-Realist Account of S(x) as an Ontological Primitive, the Yang-Mills Spectral Gap, Emergent Spacetime, and the Cosmological Hierarchy (UIDT 3.9)
Description
The Unified Information-Density Theory (UIDT) Ontology establishes the ontological, epistemological, and axiological foundations of Vacuum Information Density as the fundamental geometric scalar. Rather than postulating spacetime as a primordial arena, UIDT identifies a single real scalar field, S(x), the vacuum information density, as the fundamental geometric degree of freedom. Spacetime geometry and the Yang-Mills mass gap emerge through mathematically necessary fixed-point dynamics [A−], locally established within the UIDT axiomatic framework, while cosmological parameters are calibrated to current observational data [C] and remain subject to revision as precision surveys advance. The framework rests upon four explicit axioms and addresses four areas: (I) a quantum field-theoretic foundation, including local constructive evidence for the Yang-Mills spectral gap Δ = 1.710 ± 0.015 GeV [A−] within the UIDT axiom system; (II) cosmological calibration to DESI, JWST, and ACT data [C]; (III) laboratory-verifiable predictions, including a scalar resonance at mS = 1.705 ± 0.015 GeV [D] and a Casimir force anomaly at λ = 0.66 nm [D]; and (IV) a photonic isomorphism that maps the vacuum scalar field onto metamaterial refractive-index profiles. Every quantitative claim carries an explicit evidence classification (A through E), every prediction is accompanied by a falsification criterion, and every known limitation (L1-L12 plus the topological-susceptibility tension item) is transparently disclosed. The ontological position is a form of Ontic Structural Realism in which sufficiently constrained mathematical structure is taken to constitute, rather than merely describe, physical reality.