A symplectic geometric origin of universal quartic modified dispersion relations
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866918393833062400 |
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| author | Dey, Sanjib Faizal, Mir |
| author_facet | Dey, Sanjib Faizal, Mir |
| contents | We show that quartic modifications of relativistic dispersion relations arise generically from deformation-quantized phase spaces under minimal kinematical assumptions relevant to quantum gravity. When the kinematics admits an integral symplectic structure, a compatible almost-complex structure, and a gauge-invariant two-form sector, the leading Planck-scale correction is controlled by a single geometric length scale. We establish this result through three independent approaches: Fedosov-Berezin quantization, spectral geometry, and a topos-theoretic formulation, all of which yield the same quartic correction and clarify the origin of its apparent universality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_16532 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A symplectic geometric origin of universal quartic modified dispersion relations Dey, Sanjib Faizal, Mir Mathematical Physics High Energy Physics - Phenomenology High Energy Physics - Theory We show that quartic modifications of relativistic dispersion relations arise generically from deformation-quantized phase spaces under minimal kinematical assumptions relevant to quantum gravity. When the kinematics admits an integral symplectic structure, a compatible almost-complex structure, and a gauge-invariant two-form sector, the leading Planck-scale correction is controlled by a single geometric length scale. We establish this result through three independent approaches: Fedosov-Berezin quantization, spectral geometry, and a topos-theoretic formulation, all of which yield the same quartic correction and clarify the origin of its apparent universality. |
| title | A symplectic geometric origin of universal quartic modified dispersion relations |
| topic | Mathematical Physics High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2603.16532 |