TACHYONIC FIELD THEORY ON κ-DEFORMED SPACETIME: RESOLVING CAUSALITY VIA BI-METRIC GEOMETRY AND THE EXTENDED RELATIVITY GROUP
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| Format: | Recurso digital |
| Sprache: | Englisch |
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2025
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| _version_ | 1866901183386353664 |
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| author | Lee, Sunggil |
| author_facet | Lee, Sunggil |
| contents | <div dir="auto">This paper serves as Part IV of the research series. We propose a mathematically consistent extension of special relativity, the Extended Relativity Group (ERG), to incorporate superluminal (tachyonic) degrees of freedom without violating causality or unitarity.</div> <div dir="auto">We resolve the notorious "Bi-Metric Measure Problem" by introducing a Vierbein mixing formalism that unifies the Minkowski metric eta (matter) and the Tachyonic metric xi (superluminal modes). To prevent vacuum instability (Cherenkov decay) and Ostrogradsky ghosts, we construct a Generalized Non-local Tachyonic Lagrangian (GNTL) using entire analytic form factors.</div> <div dir="auto">We derive an exact dispersion relation where the kappa-deformation acts as an infinite energy barrier at the causal boundary, proving that closed timelike curves are energetically forbidden. Finally, we identify the CMB rest frame not as an absolute ether, but as the emergent vacuum expectation value of the ERG symmetry breaking.</div> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18051279 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | TACHYONIC FIELD THEORY ON κ-DEFORMED SPACETIME: RESOLVING CAUSALITY VIA BI-METRIC GEOMETRY AND THE EXTENDED RELATIVITY GROUP Lee, Sunggil Tachyonic Field GNTL Super Iuminal Motion Rough Path Theory Spacetime Emergence Dark Energy <div dir="auto">This paper serves as Part IV of the research series. We propose a mathematically consistent extension of special relativity, the Extended Relativity Group (ERG), to incorporate superluminal (tachyonic) degrees of freedom without violating causality or unitarity.</div> <div dir="auto">We resolve the notorious "Bi-Metric Measure Problem" by introducing a Vierbein mixing formalism that unifies the Minkowski metric eta (matter) and the Tachyonic metric xi (superluminal modes). To prevent vacuum instability (Cherenkov decay) and Ostrogradsky ghosts, we construct a Generalized Non-local Tachyonic Lagrangian (GNTL) using entire analytic form factors.</div> <div dir="auto">We derive an exact dispersion relation where the kappa-deformation acts as an infinite energy barrier at the causal boundary, proving that closed timelike curves are energetically forbidden. Finally, we identify the CMB rest frame not as an absolute ether, but as the emergent vacuum expectation value of the ERG symmetry breaking.</div> |
| title | TACHYONIC FIELD THEORY ON κ-DEFORMED SPACETIME: RESOLVING CAUSALITY VIA BI-METRIC GEOMETRY AND THE EXTENDED RELATIVITY GROUP |
| topic | Tachyonic Field GNTL Super Iuminal Motion Rough Path Theory Spacetime Emergence Dark Energy |
| url | https://doi.org/10.5281/zenodo.18051279 |