Master Treatise on the Proposed Chronology Prtion Law: Complete Inclusive Program via Celestial Soft Hair, Ramanujan Mock Modularity, Landauer Erasure, and Three Proposed Inventions LCFT-TC, NBLMF, and RQG-CPC - Tseglin Proposed Formulation

This is the final all-inclusive master treatise v3.1 (a3) on the proposed formulation of Hawking's Chronology Protection Conjecture (CPC). We present Morris-Thorne wormhole with Cauchy horizon t_c and Hawking blueshift T_blue = T_0/(t_c-t). We reformulate CPC information-theoretically via three heuristic claims: 1. Pasterski celestial soft charge Q_soft -> infinity at Cauchy horizon,2. Ramanujan mock modular obstruction c(-n)=0 implying H_CTC ∩ H_phys = empty,3. Landauer erasure cost E_erase = k_B T_blue S_ent ln2 -> infinity, S_ent = A/4G. To promote heuristics to rigorous mathematics we propose three new inventions: A) Lorentzian Celestial CFT with Topology Change (LCFT-TC) with defect D_ΔT(z) = exp(iΔT ∫ f T_ww) and running central charge c_eff(t) = c_0 + k_B S_ent ln2 T_0/(t_c-t). Lemma 1 proved: dot c_eff >0, c_eff -> infinity, satisfying Zamolodchikov c-theorem UV flow. B) Non-BPS Lorentzian Modular Forms (NBLMF) Z_L(τ,τbar,ΔT)= Σ c_L(n,m;ΔT) q^n qbar^m e^{iΔT(n-m)} counting non-supersymmetric wormholes. Lemma 2 proved: absolute convergence for Im(τ) > α/2π and Z_L ->0 as ΔT->t_c. Lemma 3 proved: Explicit BTZ 2+1 example Z^{BTZ}_L = |η(τ)|^{-2} exp(-αΔT^2/Imτ) with exact Lorentzian modular S-transformation proved via η(-1/τ)=√(-iτ)η(τ). C) Rigorous Quantum Gravity for CPC (RQG-CPC) with partition Z_RQG(ΔT)= ∫ Dg exp(iS_EH + iS_Landauer), where S_Landauer ≡ k_B S_ent ln2 ∫ √-g T_blue/T_0 Θ(t_c-t) is DERIVED from trace anomaly ⟨T^μ_μ⟩ = c_eff R/24π and Lemma 1, not postulated, removing circularity. Rigorous stress tensor defined as ⟨T_μν⟩_RQG ≡ -2/√-g δlnZ_RQG/δg^μν -> infinity at t_c. Master Equation: Z_RQG(ΔT)=Tr_LCFT-TC(D_ΔT q^{L0})·Z_L(τ,τbar,ΔT)·e^{-k_B S_ent ln2 T_blue/T_0}=0 for ΔT≥t_c. We list failure modes when law does NOT apply (Euclidean wormholes ΔT imaginary ER=EPR, quantum teleportation ΔT=0, BTZ small ΔT<t_c) and 7 open problems required for full theorem. This is a Treatise draft proposing new definitions with 3 proved lemmas, not claiming completed quantum gravity proof. Author is originator of LCFT-TC, NBLMF, RQG-CPC definitions. Keywords: Chronology Protection, Celestial Holography, Mock Modular Forms, Landauer Principle, Wormholes, Quantum Gravity License: CC BY 4.0 Author: Robert Aaron Tseglin, Israel, 2026-11-01 DOI: 10.5281/zenodo.23848707