Structured Vacuum Field Theory: Program Architecture and Corpus Overview of a Reactive-Space Coherence Framework for Gravity, Quantum Behavior, and Cosmology, with Falsifiable Consequences

Abstract
The Structured Vacuum Field Theory (SVFT) corpus presently consists of twenty-six papers developing a framework in which space is interpreted as a reactive coherence medium rather than as a passive geometric background. The present paper assembles the principal mathematical structure, physical interpretation, observational predictions, and falsification conditions established across that body of work into a single coherent overview.

Within the SVFT framework the vacuum is described by a coherence field whose configurations evolve according to an operator-based mathematical structure. The mathematical core models coherence configurations within a Hilbert space acted upon by a compact, self-adjoint, strongly positive kernel operator. Analysis of this operator shows that the recursion manifold—the dominant eigenspace of the kernel—is generically selected under spectral iteration, establishing a stable pre-propagation regime.

Under closure conditions, confinement to this regime produces dynamic marginality that necessitates activation of propagation bandwidth, generating the propagating universe. The governing dynamics of the system are expressed through a master coherence equation and a recursion functional whose mathematical structure is summarized here and developed in detail in the technical papers.

Following activation the coherence medium supports a propagating regime in which spatial geometry, radiation, and matter appear as distinct spectral sectors of the same underlying field. The large-scale response of this medium produces gravitational phenomena and cosmological structure, while its short-scale coherence dynamics give rise to behavior associated with quantum systems.

Relations derived within the SVFT corpus—including the c–G equivalence and the cross-domain closure condition linking the Planck scale to the coherence length of the kernel—connect these regimes through the structural parameters of the coherence medium.

This paper clarifies the relationships among the papers in the SVFT corpus and gathers the principal mathematical results, physical interpretations, observational predictions, and falsification criteria developed across the research program. No new theoretical claims are introduced. The purpose of this recapitulation is to present the architecture of the framework in a form that allows its assumptions, mathematical structure, and empirical consequences to be evaluated by the broader physics community.