XLIV: The Schwarz P Vacuum Lagrangian: A Scalar Field Theory Whose Vacuum Manifold Has Im3m Schwarz P Topology
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2026
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| _version_ | 1866901359181168640 |
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| author | Kadunic, Dervis |
| author_facet | Kadunic, Dervis |
| contents | <p>This paper establishes the field-theoretic foundation for the MSDS program by deriving the Schwarz P vacuum manifold from a single real scalar field Lagrangian. It proves that the Im3m symmetry, genus-3 topology, and 8-neighbor coupling observed in Papers XXVII–XLIII are not assumptions, but consequences of a potential V = \lambda[\phi^2 - f^2 G(x)^2]^2. The paper identifies the massless mode on the Schwarz P surface as the MSDS dilaton (a pseudo-Goldstone boson) and documents a 10^{10} mass gap between tree-level geometric stiffness and the observed dilaton mass, setting the stage for quantum-corrected effective action in Paper XLV. </p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19266827 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
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| spellingShingle | XLIV: The Schwarz P Vacuum Lagrangian: A Scalar Field Theory Whose Vacuum Manifold Has Im3m Schwarz P Topology Kadunic, Dervis Schwarz P Lagrangian Vacuum Manifold Im3m Symmetry Goldstone Boson (Dilaton) Scalar Field Theory <p>This paper establishes the field-theoretic foundation for the MSDS program by deriving the Schwarz P vacuum manifold from a single real scalar field Lagrangian. It proves that the Im3m symmetry, genus-3 topology, and 8-neighbor coupling observed in Papers XXVII–XLIII are not assumptions, but consequences of a potential V = \lambda[\phi^2 - f^2 G(x)^2]^2. The paper identifies the massless mode on the Schwarz P surface as the MSDS dilaton (a pseudo-Goldstone boson) and documents a 10^{10} mass gap between tree-level geometric stiffness and the observed dilaton mass, setting the stage for quantum-corrected effective action in Paper XLV. </p> |
| title | XLIV: The Schwarz P Vacuum Lagrangian: A Scalar Field Theory Whose Vacuum Manifold Has Im3m Schwarz P Topology |
| topic | Schwarz P Lagrangian Vacuum Manifold Im3m Symmetry Goldstone Boson (Dilaton) Scalar Field Theory |
| url | https://doi.org/10.5281/zenodo.19266827 |