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2026
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| Online Access: | https://doi.org/10.5281/zenodo.18807555 |
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| _version_ | 1866901379383033856 |
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| author | huang, tsung jen |
| author_facet | huang, tsung jen |
| contents | <p>The discrepancy between observed gravitational lensing ellipticities and the predictions of General Relativity (GR) is conventionally resolved by invoking complex, unobserved dark matter halos. This paper introduces the HTJ Conjecture, a geometric alternative that extends the 4D Minkowski manifold into a 6D spacetime featuring three spatial and three temporal dimensions (3S+3T). Within this framework, temporal vectors experience anisotropic dilation in high-gravity environments, generating a "Temporal Hill Potential." Furthermore, we propose that at the Planck scale (<span>$10^{44}$</span> Hz), spacetime quantization is governed by a Prime Gain Effect (PGE), where resonance modes corresponding to prime numbers constructively interfere. We derive the modified null-geodesic equations and demonstrate how the gradient of the Temporal Hill Potential provides a natural geometric correction term (<span>$\Delta \epsilon$</span>) for asymmetric lensing, offering a testable prediction for upcoming high-resolution cosmological surveys.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18807555 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The HTJ Conjecture: Ellipticity Correction in Asymmetric Gravitational Lensing via 6D Spacetime and Prime Gain Resonance huang, tsung jen <p>The discrepancy between observed gravitational lensing ellipticities and the predictions of General Relativity (GR) is conventionally resolved by invoking complex, unobserved dark matter halos. This paper introduces the HTJ Conjecture, a geometric alternative that extends the 4D Minkowski manifold into a 6D spacetime featuring three spatial and three temporal dimensions (3S+3T). Within this framework, temporal vectors experience anisotropic dilation in high-gravity environments, generating a "Temporal Hill Potential." Furthermore, we propose that at the Planck scale (<span>$10^{44}$</span> Hz), spacetime quantization is governed by a Prime Gain Effect (PGE), where resonance modes corresponding to prime numbers constructively interfere. We derive the modified null-geodesic equations and demonstrate how the gradient of the Temporal Hill Potential provides a natural geometric correction term (<span>$\Delta \epsilon$</span>) for asymmetric lensing, offering a testable prediction for upcoming high-resolution cosmological surveys.</p> |
| title | The HTJ Conjecture: Ellipticity Correction in Asymmetric Gravitational Lensing via 6D Spacetime and Prime Gain Resonance |
| url | https://doi.org/10.5281/zenodo.18807555 |