[RETRACTED]
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2026
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| _version_ | 1866901284574986240 |
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| author | Henderson, Iain Turnbull |
| author_facet | Henderson, Iain Turnbull |
| contents | <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]"><strong>[RETRACTED] The Phase Structure of Spacetime</strong></p> <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]"><em>Iain Turnbull Henderson — ORCID: 0009-0004-8539-9643</em> <em>Retraction notice: 7 May 2026</em></p> <p class="MsoNormal"><strong><span>[RETRACTED] The Phase Structure of Spacetime</span></strong></p> <p class="MsoNormal"><em><span>Iain Turnbull Henderson — ORCID: 0009-0004-8539-9643</span></em><span> <em>Retraction notice: 7 May 2026</em></span></p> <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]">This preprint is retracted by the author.</p> <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]">The paper was developed too rapidly under conditions of sleep deprivation and contains unresolved theoretical errors that cannot be corrected by minor revision. Specifically:</p> <ol class="[li_&]:mb-0 [li_&]:mt-1 [li_&]:gap-1 [&:not(:last-child)_ul]:pb-1 [&:not(:last-child)_ol]:pb-1 list-decimal flex flex-col gap-1 pl-8 mb-3"> <li class="whitespace-normal break-words pl-2">The Negative Euclidean (−,−,−,−) identification (v1) is conformally equivalent to the Euclidean phase and cannot be a physically distinct phase.</li> <li class="whitespace-normal break-words pl-2">The Negative Lorentzian (+,−,−,−) identification (v2) is not physically distinct from the standard Lorentzian (−,+,+,+) — they are the same manifold written in different sign conventions. Insisting on physical distinction produces a tachyonic vacuum.</li> <li class="whitespace-normal break-words pl-2">A spacetime with three timelike dimensions produces ultrahyperbolic partial differential equations with no well-posed Cauchy problem. Physics cannot be done in such a geometry.</li> <li class="whitespace-normal break-words pl-2">The one-dimensional proton implied by one spacelike dimension is falsified by Transverse Momentum Dependent parton distribution function measurements and orbital angular momentum data.</li> </ol> <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]">The core intuition — that there is a geometric relationship between metric phase structure, gravity, and the strong force — remains a legitimate research question. A properly developed paper will be deposited when the theoretical foundations are established through full adversarial review.</p> <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]">The author thanks Gemini (Google DeepMind) for the rigorous adversarial review that identified these problems. Honest retraction is a scientific obligation.</p> <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]"><em>All other papers in the FTT preprint series remain valid and unaffected by this retraction.</em></p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20064818 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | [RETRACTED] Henderson, Iain Turnbull metric signature spacetime phases gravitational phase boundary speed of light Dark matter field topology theory, Quark confinement asymptotic freedom Lorentzian geometry Negative Lorentzian metric temporal confinement geometric duality <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]"><strong>[RETRACTED] The Phase Structure of Spacetime</strong></p> <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]"><em>Iain Turnbull Henderson — ORCID: 0009-0004-8539-9643</em> <em>Retraction notice: 7 May 2026</em></p> <p class="MsoNormal"><strong><span>[RETRACTED] The Phase Structure of Spacetime</span></strong></p> <p class="MsoNormal"><em><span>Iain Turnbull Henderson — ORCID: 0009-0004-8539-9643</span></em><span> <em>Retraction notice: 7 May 2026</em></span></p> <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]">This preprint is retracted by the author.</p> <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]">The paper was developed too rapidly under conditions of sleep deprivation and contains unresolved theoretical errors that cannot be corrected by minor revision. Specifically:</p> <ol class="[li_&]:mb-0 [li_&]:mt-1 [li_&]:gap-1 [&:not(:last-child)_ul]:pb-1 [&:not(:last-child)_ol]:pb-1 list-decimal flex flex-col gap-1 pl-8 mb-3"> <li class="whitespace-normal break-words pl-2">The Negative Euclidean (−,−,−,−) identification (v1) is conformally equivalent to the Euclidean phase and cannot be a physically distinct phase.</li> <li class="whitespace-normal break-words pl-2">The Negative Lorentzian (+,−,−,−) identification (v2) is not physically distinct from the standard Lorentzian (−,+,+,+) — they are the same manifold written in different sign conventions. Insisting on physical distinction produces a tachyonic vacuum.</li> <li class="whitespace-normal break-words pl-2">A spacetime with three timelike dimensions produces ultrahyperbolic partial differential equations with no well-posed Cauchy problem. Physics cannot be done in such a geometry.</li> <li class="whitespace-normal break-words pl-2">The one-dimensional proton implied by one spacelike dimension is falsified by Transverse Momentum Dependent parton distribution function measurements and orbital angular momentum data.</li> </ol> <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]">The core intuition — that there is a geometric relationship between metric phase structure, gravity, and the strong force — remains a legitimate research question. A properly developed paper will be deposited when the theoretical foundations are established through full adversarial review.</p> <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]">The author thanks Gemini (Google DeepMind) for the rigorous adversarial review that identified these problems. Honest retraction is a scientific obligation.</p> <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]"><em>All other papers in the FTT preprint series remain valid and unaffected by this retraction.</em></p> |
| title | [RETRACTED] |
| topic | metric signature spacetime phases gravitational phase boundary speed of light Dark matter field topology theory, Quark confinement asymptotic freedom Lorentzian geometry Negative Lorentzian metric temporal confinement geometric duality |
| url | https://doi.org/10.5281/zenodo.20064818 |