Structured Vacuum Field Theory: Addressing Entropy, Dimensional and Parameter Consistency, and Foundations with Derived Formulations

This paper extends the Structured Vacuum Field Theory (SVFT) by addressing entropy, dimensional consistency, and the role of effective parameters, while clarifying the limits of coherence in reactive space. An entropy functional is derived directly from SVFT’s structural axioms, resolving earlier reliance on thermodynamic analogies. Dimensional consistency is demonstrated across derived quantities, and the apparent circularity of parameters (M, λ, μ, v_z) is resolved through invariant ratios that define a constrained manifold. Quantitative falsification criteria are established, with a computational-first strategy that allows the theory to be tested cleanly and decisively. We reinterpret entropy in SVFT as decoherence: the dispersion of correlations within the reactive vacuum. Black holes represent recursion and extreme coherence, while cosmological dilution drives decoherence toward null-shell states where the Cardinal Virtues fail. Beyond null shells, SVFT distinguishes non-space, the absence of Ψ altogether. The universal singularity’s Schwarzschild radius (471–1200 billion light years, depending on embedded energy content) defines the maximum domain for expansion; within this domain, non-space is progressively converted into reactive structure. This work should be read alongside the SVFT Framework (Zenodo DOI: 16876830) and SVFT Coherence and Origins (Zenodo DOI: 16811441). Together, these documents provide the theoretical foundation, cosmological implications, and falsification framework required for a full evaluation of the reactive vacuum hypothesis.