Cosmological Implications

Quantum-Gravity Bridge through K3 Geometry

Hypothesis: internal spectral scales may couple to gravity through low-energy moduli.

Quantum Gravity Unification - Scale Bridging

🔬” The Problem

Quantum field theory breaks down at the Planck scale where gravity becomes strong. The χ=24 framework proposes K3 geometry provides a smooth quantum-to-classical transition, eliminating singularities.

Speculative Internal Coupling

Hypothesis: Internal spectral scales feed low-energy moduli that couple to gravity. Exploratory only; no change to Einstein—“Hilbert is claimed.

Standard Einstein-Hilbert action remains:

$$S = \int d^4x \sqrt{-g} \frac{R}{16\pi G} + S_{\text{matter}}$$

K3 geometry may influence $S_{\text{matter}}$ through effective couplings and selection rules, but the gravitational sector is unchanged.

Status: SPECULATIVE - Requires detailed effective field theory before quantitative claims.