{
  "abstract": "Standard multitemporal spacetimes, such as unconstrained SO(3,3) manifolds, are historically plagued by theoretical pathologies including closed timelike curves (CTCs) and negative-norm ghost states[1]. Building upon the foundational hypothesis of macroscopic symmetry breaking into a 3+1+2 dimensional structure, this paper proposes a heuristic mathematical formalism and non-linear tensor dynamics to govern the constrained manifold. We introduce a unified 6×6 master metric tensor, demonstrating how macroscopic gravity can emerge from the gradient of the global constraint field, while U(1) electromagnetism is spontaneously generated by off-diagonal spatial-transverse temporal couplings.\n\nFurthermore, by applying a Born-Infeld type non-linear effective Lagrangian, we analytically explore the implications of an absolute geometric cutoff (the Wunderlich limit). We show that as local extrinsic curvature approaches this limit (η = 1/√3), the resulting singularity mathematically necessitates discrete topological surgery, offering a conceptual pathway to avert ultraviolet (UV) divergences without artificial regularization. Finally, by expanding the Clifford algebra to accommodate the 3+1+2 metric, we derive the exact 4π periodicity of half-integer fermions. This mathematical deduction suggests that intrinsic spin 1/2 can be reinterpreted not merely as an empirical postulate, but as a deterministic consequence of internal SO(2) spinor rotations across a closed Klein bottle topology. Ultimately, these derivations aim to provide a self-consistent heuristic foundation for uniting multitemporal geometry with observable quantum phenomena.",
  "abstract_shown": true,
  "affiliations": [
    "Independent Researcher"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Changho Cho"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3a2eed60h4f41.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23573867",
  "fulltext_url": null,
  "id": "3a2eed60h4f41",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23573867",
  "language": "eng",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [],
  "openalex": null,
  "pdf_url": "https://zenodo.org/api/records/23573867/files/Tensor%20Dynamics_v10.pdf/content",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3a2eed60h4f41.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T12:20:24Z",
      "native_id": "23573867",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23573867"
    }
  ],
  "subjects": [],
  "title": "Mathematical Foundations of the Constrained 3+1+2 Manifold: Tensor Dynamics, Topological Surgery, and Spinor Algebra in SO(3,3) Spacetime",
  "title_text": "Mathematical Foundations of the Constrained 3+1+2 Manifold: Tensor Dynamics, Topological Surgery, and Spinor Algebra in SO(3,3) Spacetime",
  "type": "preprint",
  "updated_at": "2026-11-05T12:20:24Z",
  "url": "https://research.draconitic.com/paper/3a2eed60h4f41",
  "venue": "Zenodo",
  "versions": []
}