Stochastic Quantization of Electrodynamics and Linearized Gravity
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866909736623931392 |
|---|---|
| author | Nandi, Partha Ghose, Partha |
| author_facet | Nandi, Partha Ghose, Partha |
| contents | We develop a unified stochastic framework in which a velocity- and helicity-reversing Poisson process gives rise to the Telegrapher's equation. Analytic continuation to the complex plane results in Dirac-like evolution equations for electromagnetic and linearized gravitational fields. A small but nonzero mass parameter is essential to enable helicity reversals. Yet, the correct massless wave equations are recovered as the physically relevant massless limit is approached smoothly, with the singular point excluded from the construction. Remarkably, probability does not enter as an external postulate as in the Born rule in standard quantum mechanics -- but is intrinsic to the stochastic process. This probabilistic structure becomes embedded in the wave fields through a natural rescaling by the Planck length. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_10190 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stochastic Quantization of Electrodynamics and Linearized Gravity Nandi, Partha Ghose, Partha General Relativity and Quantum Cosmology High Energy Physics - Theory Quantum Physics We develop a unified stochastic framework in which a velocity- and helicity-reversing Poisson process gives rise to the Telegrapher's equation. Analytic continuation to the complex plane results in Dirac-like evolution equations for electromagnetic and linearized gravitational fields. A small but nonzero mass parameter is essential to enable helicity reversals. Yet, the correct massless wave equations are recovered as the physically relevant massless limit is approached smoothly, with the singular point excluded from the construction. Remarkably, probability does not enter as an external postulate as in the Born rule in standard quantum mechanics -- but is intrinsic to the stochastic process. This probabilistic structure becomes embedded in the wave fields through a natural rescaling by the Planck length. |
| title | Stochastic Quantization of Electrodynamics and Linearized Gravity |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2508.10190 |