Published August 29, 2025
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Modal–Liouville Strings in 3+1: Worldsheet Consistency, SM Spectrum and a Single Vacuum
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We construct a non–critical string theory directly in 3+1 dimensions. The worldsheet conformal anomaly is cancelled by a physical Modal–Liouville compensator Phi_modal with a clean dictionary to Manifold Quantum Gravity (MQG). The internal sector is a rational chiral algebra A_modal that realises the Standard Model gauge algebra and chiral matter without extra dimensions or Calabi–Yau moduli. We establish worldsheet consistency (central charge balance, vanishing β–functions on MQG on–shell backgrounds, BRST nilpotency, modular invariance), construct gauge and matter via simple–current RCFT, derive the 4D effective action with α′ₘ = Γc⁻¹, show that continuous moduli are lifted, prove a finite one–loop vacuum set further pruned by Γ–stability, and exhibit standard open–string gauge amplitudes with Regge behaviour and a Yang–Mills limit. The apparent landscape collapses to a single vacuum consistent with the Standard Model, uniquely correlated with a recursion depth in MQG. The framework is falsifiable: it predicts no light geometric moduli and only near–equilibrium supersymmetry.
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- Preprint: 10.5281/zenodo.16374596 (DOI)
- Preprint: 10.5281/zenodo.16971597 (DOI)
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2025-08-29Preprint
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