| _version_ | 1866901370180730880 |
|---|---|
| author | Jovanović, Nebojša |
| author_facet | Jovanović, Nebojša |
| contents | <p>Chrono-Grid Dynamics (CGD) postulates a fundamental discrete time step τ (the Takt) as the basis of unitary quantum evolution. We derive generic corrections to stationary energy levels arising from such discrete-time evolution. Using a symmetric finite-difference approximation to the time derivative, we obtain δE = E³τ²/(6ℏ²) to leading order. Applying this to hydrogen 1S-2S spectroscopy and to optical clock transitions (Sr⁺, Yb⁺, Al⁺), we set an upper bound τ ≲ 5×10⁻²⁴ s. This is still 20 orders of magnitude above the Planck time (tₚ ≈ 5.4×10⁻⁴⁴ s), so Planck-scale discrete time remains unconstrained by current atomic measurements. Future precision improvements could probe the Planck regime, providing a concrete target for next-generation clocks and quantum sensors.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19790169 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Atomic Spectroscopy Constraints on the Discrete Time Step in Chrono-Grid Dynamics Jovanović, Nebojša discrete time atomic spectroscopy hydrogen 1S-2S optical clocks Planck scale quantum gravity Chrono-Grid Dynamics <p>Chrono-Grid Dynamics (CGD) postulates a fundamental discrete time step τ (the Takt) as the basis of unitary quantum evolution. We derive generic corrections to stationary energy levels arising from such discrete-time evolution. Using a symmetric finite-difference approximation to the time derivative, we obtain δE = E³τ²/(6ℏ²) to leading order. Applying this to hydrogen 1S-2S spectroscopy and to optical clock transitions (Sr⁺, Yb⁺, Al⁺), we set an upper bound τ ≲ 5×10⁻²⁴ s. This is still 20 orders of magnitude above the Planck time (tₚ ≈ 5.4×10⁻⁴⁴ s), so Planck-scale discrete time remains unconstrained by current atomic measurements. Future precision improvements could probe the Planck regime, providing a concrete target for next-generation clocks and quantum sensors.</p> |
| title | Atomic Spectroscopy Constraints on the Discrete Time Step in Chrono-Grid Dynamics |
| topic | discrete time atomic spectroscopy hydrogen 1S-2S optical clocks Planck scale quantum gravity Chrono-Grid Dynamics |
| url | https://doi.org/10.5281/zenodo.19790169 |