Treatise on the Proposed Chronology Protection Law Derived from Quantum Mechanics and Five Proofs of E=mc2

Abstract: This treatise proposes Hawking's Chronology Protection Conjecture should be grounded in quantum mechanics. We interpret measurement in the double-slit as enforcement of non-contradiction. We define V(h)=max(0,D^2+V^2-1) as inconsistency, S_loop=E_which*T_storage as would-be CTC action, and A_protected=A*exp[-λ V S_loop] with λ=α/ħ. Existing delayed-choice quantum eraser experiments bound α<3.5e-9 (Kim 1999), α<2.6e-10 (Ma 2012). The law predicts falsifiable residual P_residual=exp[-2α S_loop/ħ] scaling with storage time, testable with 1km fiber (5μs) or quantum memory (1ms). If λ(L)=(l_p/L)^2/ħ runs with scale, at Hubble scale L_H=c/H0 we obtain ρ_Λ=ħ/L_H^4 - observed dark energy density without fine-tuning. Second part gives Five Rigorous Proofs of E=mc2, including three new: Proof 3 (NEW - Pasterski): E=mc2 as BMS supertranslation Ward identity. ADM mass is Q_{f=1} charge. Q1^- = Q1^+ forces mc2 = E_rad. Mass is soft graviton memory. Proof 4 (NEW - Landauer): E=mc2 as Landauer erasure cost. Erasing bit b(m) localized in Compton radius Rc=ħ/mc costs kB T_U S_Bek = mc2 via Unruh temperature T_U=ħc/2πkB Rc and Bekenstein bound. Proof 5 (NEW - Ramanujan): E=mc2 as constant term a0=1 of weight-0 modular form for Γ(2). Lorentz factor γ(v)=(1-v2/c2)^-1/2 = θ3^2/θ4^2 is modular with q-expansion 1+O(q). Mass is modular anomaly. Includes standard Einstein photon-recoil and Noether proofs. Unified: E=mc2 = Q_BMS = TΔS_erasure = a0 modular. DOI reserved: 10.5281/zenodo.23879924. LaTeX source: Tseglin_Mega_Treatise_E_mc2_5_Proofs_A. 6x9 book format, CC-BY-4.0. First publication November 2026. Generated with Meta AI formalism. Keywords: chronology protection, E=mc2 proof, BMS symmetry, celestial holography, Landauer principle, Ramanujan modular form, delayed-choice eraser