Derivation of a 4D Force for the 4D Quantum Potential
Fuente:
Zenodo
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Recurso digital |
| Pubblicazione: |
Zenodo
2025
|
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866902013961306112 |
|---|---|
| author | Stieger, Gustav |
| author_facet | Stieger, Gustav |
| contents | <p>In this paper, we derive a four-force associated with the four-dimensional (4D) quantum potential introduced in Ref. [1]. This force, defined as F μ = −m(ημν − uμuν )∂ν Q(x), generalizes the de Broglie-Bohm quantum force to relativistic contexts and ensures consistency with special relativity. We present a rigorous derivation of this force from first principles, starting with the Klein-Gordon equation and systematically transitioning to a classical scalar field through a mean-field approximation. The effective action for this field is derived using the Wentzel-Kramers-Brillouin (WKB) method, ensuring a well-motivated bridge between quantum and classical regimes. We discuss how this four-force can drive particle dynamics in flat Minkowski space, reproducing gravitational effects such as post-Newtonian corrections in General Relativity (GR).</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_14985075 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Derivation of a 4D Force for the 4D Quantum Potential Stieger, Gustav <p>In this paper, we derive a four-force associated with the four-dimensional (4D) quantum potential introduced in Ref. [1]. This force, defined as F μ = −m(ημν − uμuν )∂ν Q(x), generalizes the de Broglie-Bohm quantum force to relativistic contexts and ensures consistency with special relativity. We present a rigorous derivation of this force from first principles, starting with the Klein-Gordon equation and systematically transitioning to a classical scalar field through a mean-field approximation. The effective action for this field is derived using the Wentzel-Kramers-Brillouin (WKB) method, ensuring a well-motivated bridge between quantum and classical regimes. We discuss how this four-force can drive particle dynamics in flat Minkowski space, reproducing gravitational effects such as post-Newtonian corrections in General Relativity (GR).</p> |
| title | Derivation of a 4D Force for the 4D Quantum Potential |
| url | https://doi.org/10.5281/zenodo.14985075 |