Published December 24, 2025 | Version v1
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Dark Geometry and the Standard Model

Description

We develop the rigorous connection between Dark Geometry (DG) and the Standard Model of particle physics. The conformal mode σ couples universally to the trace of the stress-energy tensor Tµµ, which receives contributions from: (1) fermion masses via the Higgs mechanism, (2) the QCD trace anomaly, and (3) the QED trace anomaly (negligible). We demonstrate that DG is fully compatible with Standard Model physics, with no modifications to QCD or QED at accessible energies. The only observable effects are: (a) primordial blackhole (PBH) formation at the QCD transition (¯ M= 0.20 M⊙), and (b) potential high-energy modifications near the Planck scale. A crucial result from the IDG extension (Dirac constraint analysis) is that σ has zero propagating degrees of freedom it is entirely determined by the entanglement structure via the Hertault Axiom. This fundamentally distinguishes DG from scalar-tensor theories like Brans-Dicke. All results follow from the established Dark Geometry framework with zero new free parameters.

Key result: DG does not modify Standard Model physics below the Planck scale.

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Subtitle
The Universal Coupling to QCD, QED, and Electroweak Physics