PP-NF Frame Consistency and Surface-Area-to-Volume Force Regulation Model: A Relational Volume Framework Linking Electroweak Symmetry, Nuclear Geometry, and Late-Time Cosmic Expansion
Year: 2026
Type: preprint
Abstract: This white paper presents a comprehensive synthesis of the PP-NF (Positive-Pressure / Null-Field or Proper-Volume / Relational-Volume) model developed from the conceptual mechanical layout of the universe by Mark Chrisman. The framework introduces a dual-component volume constraint between a baryonic/matter-associated PP sector and a complementary NF sector. Two interpretations of the equal-and-opposite volume constraint are tested: a proper-volume reading and a relational/comoving-volume reading. The proper-volume interpretation is shown to be cosmologically untenable, while the relational reading is mathematically equivalent to the standard matter-dilution law and remains fully consistent with expansion. Rewinding the present-day cosmic PP volume fraction (≈ 6 × 10⁻⁴⁶) to a 1:1 checkerboard symmetry state yields a transition redshift zsym≈9.41×1014z_{\rm sym} \approx 9.41 \times 10^{14}zsym≈9.41×1014, corresponding to a thermal energy scale of approximately 221 GeV—squarely within the electroweak phase-transition regime. Microphysical analysis demonstrates that surface-area-to-volume ratios regulate force exchange times across nuclear scales, while dimensionless ratios inside bound structures remain invariant. Volume exchange is therefore confined to the unbound NF sector lying between bound systems, automatically protecting laboratory constraints on the temporal variation of fundamental constants. A dynamical extension is constructed by anchoring a modulated pendulum degree of freedom (augmented by an optional black-hole-horizon entropic potential) at the electroweak 1:1 crossing and integrating it to the present epoch. The resulting expansion histories can produce late-time Hubble values ranging from Planck-like to SH0ES-like (and higher), while preserving early-universe anchors to within a few percent. The model thereby offers a relational-volume mechanism capable of contributing to the observed Hubble tension without disrupting bound-state physics or early-universe observables. Version: 1.0 — Technical Synthesis (November 2026).
Author: Chrisman, Mark
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225831025
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