Geometrizing the Quantum - A Toy Model

Journal Article · Tue Dec 15 00:00:00 EST 2009 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3284379· OSTI ID:21371372

Koch, Benjamin ^[1]

---

1. Pontificia Universidad Catolica de Chile, Av. Vicuna Mackenna 4860, Santiago (Chile)

It is shown that the equations of relativistic Bohmian mechanics for multiple bosonic particles have a dual description in terms of a classical theory of conformally 'curved' space-time. This shows that it is possible to formulate quantum mechanics as a purely classical geometrical theory. The results are further generalized to interactions with an external electromagnetic field.

• OSTI ID: 21371372
• Journal Information: AIP Conference Proceedings, Vol. 1196, Issue 1; Conference: 25. Max Born symposium, Wroclaw (Poland), 29 Jun - 3 Jul 2009; Other Information: DOI: 10.1063/1.3284379; (c) 2009 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
ELECTROMAGNETIC FIELDS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE INTERACTIONS
QUANTUM FIELD THEORY
QUANTUM MECHANICS
RELATIVISTIC RANGE
SPACE-TIME
WAVE FUNCTIONS
DIFFERENTIAL EQUATIONS
ENERGY RANGE
EQUATIONS
FIELD THEORIES
FUNCTIONS
INTERACTIONS
MECHANICS