Published April 27, 2026 | Version v2

Compatibility of the Higgs Boson Measurement with Geometric Monism: Top-Quark Terminal Strain, Collective Saturation Radius, and Falsifiability

  • 1. Independent Researcher

Description

The Standard Model (SM) of particle physics describes electroweak symmetry breaking through the Higgs mechanism, with the 125 GeV resonance observed at the Large Hadron Collider interpreted as the Higgs boson. The present work does not challenge the predictive success of this framework. Instead, it investigates whether the empirical Higgs energy scale and the top-quark mass scale admit a complementary geometric interpretation within the Geometric Monism (GM) framework.

In GM, physical entities are modeled as continuous torsional standing-wave structures embedded in a 5-dimensional manifold governed by the Planck Stiffness \(\kT=c^4/G\). This paper explores the hypothesis that fermion generation structure may be interpreted as a sequence of wavelength-compression and topological-buckling states within the constrained microscopic torsional sector. The top quark is modeled as a terminal saturated configuration of the 40 operational microscopic degrees of freedom available to a localized \(4\pi\) topology. Under this interpretation, the observed Higgs energy scale is shown to be numerically compatible with an energy-balance relation involving top-quark terminal strain, the proton confinement scale, and observed decay-product masses. The result is presented as a geometric compatibility argument and leading-order consistency check, not as a replacement for the Higgs mechanism or the Standard Model predictive formalism.

Series information

Version 2 refines the Higgs-sector analysis for consistency with the broader Geometric Monism framework. The manuscript now explicitly frames the result as a compatibility study rather than a replacement for the Standard Model Higgs mechanism. The top-quark terminal strain model, 40-degree microscopic torsional sector, and Higgs-scale energy-balance estimate are retained, while the language has been moderated to emphasize leading-order geometric interpretation and future variational development.

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