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

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 lambda_1 = 3/R^2 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 t_Page = 1200 natural units. Inflationary predictions n_s = 0.967 and r = 0 emerge from the hilltop regime. The UV fixed point of the Wetterich-type FRG flow is lambda* = 4444 = 1/delta^2. Ten falsifiable predictions are tabulated. No parameters are adjusted to fit observation. LEGAL NOTICE: > This research and the associated calculations are the intellectual property of Triquetra Tactical LLC. The methods, systems, and practical applications of Thyra-Hopf Detuning Theory (THDT) described herein are Patent Pending. Unauthorized commercial use, replication of calibration constants, or derivative software engineering is strictly prohibited without a formal licensing agreement. For inquiries, contact Triquetra Tactical LLC.