Synthesis II: The Fourteen Papers as One Theorem

This paper closes the arc opened in 2026a (Ch. 124) and completed in 2026n (Ch. 149). In 2026a, we proved no unital map T → E for H = S^1. In 2026b, we generalized to the triple (dim H^n, dim C^n, 1). In 2026c, we defined the Bridge Conjecture. In 2026d, we proved the eraser must be CPTP. In 2026e, we proved all four follow from one Unifier Axiom: [x,y] = 1. In 2026f, we categorified H. In 2026g, we proved the Unifier survives in characteristic p. In 2026h, we proved it survives for infinite H. In 2026i, we gave the lab falsifier D^2 + V^2 ≤ 1. In 2026j, we proved the nine papers are one theorem. In 2026k, we proved the Unifier survives for any A with [x,y] = 1. In 2026l, we constructed H(M) for M Lorentzian. In 2026m, we defined causal homotopy, π1^causal, and H1^causal. In 2026n, we defined H^n_causal(H(M)) for all n. Here we prove: the fourteen papers are one theorem. The One Theorem is: [x,y] = 1 + causal H(M) + causal cohomology ⇒ no unital T → E without CPTP erasure, and CTC ⇒ H^1_causal ≠ 0 ⇒ erasure forced. We give the dependency DAG, the single falsifier that kills all fourteen, and the single experiment that confirms all fourteen. We state what is proved, what is not proved, and what remains: full GR chronology protection, quantum gravity, and the D^2+V^2 lab test. This is the capstone of Ch. 124-149. Tseglin 2026o = Ch. 150. Cites Tseglin 2026a DOI 10.5281/zenodo.23977165, 2026b DOI 10.5281/zenodo.23980498, 2026c DOI 10.5281/zenodo.23980738, 2026d DOI 10.5281/zenodo.23981860, 2026e DOI 10.5281/zenodo.23982063, 2026f DOI 10.5281/zenodo.23982359, 2026g DOI 10.5281/zenodo.23985216, 2026h DOI 10.5281/zenodo.23991367, 2026i DOI 10.5281/zenodo.23991442, 2026j DOI 10.5281/zenodo.23991535, 2026k DOI 10.5281/zenodo.23991603, 2026l DOI 10.5281/zenodo.23991665, 2026m DOI 10.5281/zenodo.23991998, 2026n DOI 10.5281/zenodo.23992083.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-06
DOI
https://doi.org/10.5281/zenodo.23992186
Primary Topic
Advanced Operator Algebra Research
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article
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article

Synthesis II: The Fourteen Papers as One Theorem

Robert Aaron Tseglin
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Zenodo (CERN European Organization for Nuclear Research)
Advanced Operator Algebra Research
article

Synthesis II: The Fourteen Papers as One Theorem

Robert Aaron Tseglin
article en

Abstract

This paper closes the arc opened in 2026a (Ch. 124) and completed in 2026n (Ch. 149). In 2026a, we proved no unital map T → E for H = S^1. In 2026b, we generalized to the triple (dim H^n, dim C^n, 1). In 2026c, we defined the Bridge Conjecture. In 2026d, we proved the eraser must be CPTP. In 2026e, we proved all four follow from one Unifier Axiom: [x,y] = 1. In 2026f, we categorified H. In 2026g, we proved the Unifier survives in characteristic p. In 2026h, we proved it survives for infinite H. In 2026i, we gave the lab falsifier D^2 + V^2 ≤ 1. In 2026j, we proved the nine papers are one theorem. In 2026k, we proved the Unifier survives for any A with [x,y] = 1. In 2026l, we constructed H(M) for M Lorentzian. In 2026m, we defined causal homotopy, π1^causal, and H1^causal. In 2026n, we defined H^n_causal(H(M)) for all n. Here we prove: the fourteen papers are one theorem. The One Theorem is: [x,y] = 1 + causal H(M) + causal cohomology ⇒ no unital T → E without CPTP erasure, and CTC ⇒ H^1_causal ≠ 0 ⇒ erasure forced. We give the dependency DAG, the single falsifier that kills all fourteen, and the single experiment that confirms all fourteen. We state what is proved, what is not proved, and what remains: full GR chronology protection, quantum gravity, and the D^2+V^2 lab test. This is the capstone of Ch. 124-149. Tseglin 2026o = Ch. 150. Cites Tseglin 2026a DOI 10.5281/zenodo.23977165, 2026b DOI 10.5281/zenodo.23980498, 2026c DOI 10.5281/zenodo.23980738, 2026d DOI 10.5281/zenodo.23981860, 2026e DOI 10.5281/zenodo.23982063, 2026f DOI 10.5281/zenodo.23982359, 2026g DOI 10.5281/zenodo.23985216, 2026h DOI 10.5281/zenodo.23991367, 2026i DOI 10.5281/zenodo.23991442, 2026j DOI 10.5281/zenodo.23991535, 2026k DOI 10.5281/zenodo.23991603, 2026l DOI 10.5281/zenodo.23991665, 2026m DOI 10.5281/zenodo.23991998, 2026n DOI 10.5281/zenodo.23992083.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 25%
Advanced Operator Algebra Research
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