General Expanse Tension Theory (GETT): Hypothesis 4 Complete Single-Field Unification of the Standard Model and Gravity via the Universal Coupling Modulation Equation (UCME)

The Final Abolition of Arbitrary Parameters and the Density-Dependent
Origin of All Dimensionless Constants

We present General Expanse Tension Theory (GETT) Hypothesis 4, a unified framework in which all fundamental interaction strengths, particle masses, mixing parameters, and the effective gravitational coupling arise from a single mechanism: density-dependent modulation by the universal Holland–Higgs scalar field Φ.  Building upon the gravitational results of ETT Hypothesis 3, we construct a gauge-invariant Φ-portal Lagrangian that dynamically modulates every Standard Model parameter through the Universal Coupling Modulation Equation (UCME).

This is an attempt to unify all entities in the Standard Model into a single field.

This is an attempt at a single field Theory of Everything.

Must be read in relation to Zenodo Documents:

No. 17533253 - referred to as Part A.

Expanse Tension Theory Hypothesis 3: The Holland–Higgs Field as a Single Scalar Unification of Mass, Gravity, and Cosmic Expansion.

No. 17612861 - referred to as Part B.

Expanse Tension theory (ETT) Hypothesis 3 – Part B: A Density-Dependent Breakdown of Higgs Mass Licensing and therefore the de-emergence of Gravity, Weight, Inertia, and Time in the ultra-dense regime

At terrestrial densities the Standard Model is exactly recovered; at higher or lower densities, Φ induces predictable variations in gauge couplings, Yukawa strengths, the Higgs VEV, neutrino masses, and the effective gravitational constant.  This mechanism explains a wide range of unresolved phenomena, including cosmic acceleration, the Hubble tension, fine-structure variation hints, neutron-star anomalies, supernova neutrino behaviour, and the absence of singularities, while remaining fully consistent with laboratory physics.  GETT introduces no new symmetries or exotic particles, instead unifying physical laws through a single dynamical scalar field.  The framework yields a broad and highly testable set of predictions across cosmology, astrophysics, particle physics, and precision laboratory experiments, establishing GETT as a parsimonious and empirically grounded path toward unification.

If validated, GETT Hypothesis 4 constitutes the first and only known renormalisable, minimally extended Standard Model that explains every major anomaly in cosmology, astrophysics, and particle physics using zero new particles, zero extra dimensions, and one universal mechanism in perfect agreement with all existing data.

v1.1 Update:  9th December 2025.  In response to a challenge that existing measurements are extremely precise, yes, however, humans have never tested beyond the low-density threshold: 
Empirical Constraints and the Unprobed Low-Density Regime.
Although the electromagnetic fine-structure constant α and the proton–electron mass ratio μ are among the most tightly constrained quantities in physics, all existing measurements—laboratory, atomic-clock, ISM, and quasar absorption—probe environments with densities between 10⁻¹⁷ and 10⁻²⁶ kg·m⁻³. These regions lie many orders of magnitude above the ultra-low-density regime (ρ ≲ 10⁻²⁸–10⁻³² kg·m⁻³) in which the Universal Coupling Modulation Equation (UCME) predicts significant gauge-sector sensitivity to the Holland–Higgs field Φ. No current experiment or astronomical observation has ever isolated, sampled, or spectroscopically measured atomic transitions in genuine deep-void interiors where expanse tension dominates. Thus, the frequently cited constraints on Δα/α and Δμ/μ do not apply to the domain in which GETT predicts modulation. In this sense, GETT does not conflict with observational bounds; instead, it identifies a previously untested region of density space and converts it into a clear, falsifiable prediction for future ultra-void spectroscopy (e.g., ELT/SKA/PRIMA). Until α and μ are measured in these genuinely low-density environments, the GETT predictions remain entirely compatible with existing empirical data while extending the frontier of testable physics.