What question did this study set out to answer?

To derive gravity and other fundamental physics concepts from a single constant called the Bower Constant.

April 22, 2026Open Access

Thyra-Hopf Detuning Theory (THDT): A Topological Framework for Physics from the Bower Constant

JBJessica BowerTactical Communications Group (United States)

Key Points

To derive gravity and other fundamental physics concepts from a single constant called the Bower Constant.
Derivation based on the Hopf fibration on a compact internal S3 manifold.
Analysis of eigenvalues using the Laplace-Beltrami operator to obtain frequency splitting.
Evaluation of inflationary predictions without parameter adjustments.
Established a fundamental link between a topological invariant and various physical phenomena.
Predicted specific values for inflationary parameters like n_s and r without fitting to observations.
Generated ten falsifiable predictions to guide future research.

Abstract

Thyra-Hopf Detuning Theory (THDT) derives gravity, the Standard Model, dark matter, dark energy, and cosmology from a single geometric constant. The Bower Constant, delta = 0. 015, arises from the volume-averaged splitting of the lowest l=1 modes on a compact internal S3 manifold via the Hopf fibration: the Laplace-Beltrami eigenvalue lambda₁ = 3/R² produces a frequency splitting delta-omega = sqrt (6) /R, which normalized by the curvature scale gives delta = 0. 015. This single topological invariant generates Newtonian gravity through holographic entropy, the electroweak gauge group SU (2) L x U (1) Y from the Maurer-Cartan 1-forms, fermion mass hierarchies from overlap integrals, dark energy with w (z) = -1 + 0. 05z, and a Page-curve turnaround at tPage = 1200 natural units. Inflationary predictions nₛ = 0. 967 and r = 0 emerge from the hilltop regime. The UV fixed point of the Wetterich-type FRG flow is lambda* = 4444 = 1/delta². Ten falsifiable predictions are tabulated. No parameters are adjusted to fit observation.

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