About Some Problems Raised by the Relativistic Form of De-Broglie--Bohm Theory of Pilot Wave

Abstract

The standard relativistic de-Broglie--Bohm theory has the problems of tacyonic solutions and the incorrect non-relativistic limit. In this paper we obtain a relativistic theory, not decomposing the relativistic wave equations but looking for a generalization of non-relativistic Bohmian theory in such a way that the correct non-relativistic limit emerges. In this way we are able to construct a relativistic de-Broglie--Bohm theory both for a single particle and for a many-particle system. At the end, the theory is extended to the curved space-time and the connection with quantum gravity is discussed.

13 pages, RevTeX. To appear in Physica Scripta, 2001

References in corpus (1)

• Quantum, Gravity, and Geometry

Cited by in corpus (13)

• Towards a Quantum Fluid Theory of Correlated Many-Fermion Systems from First Principles
• Causal Loop Quantum Gravity and Cosmological Solutions
• Interpretation of quantum theory - An overview
• Modified Friedmann equations via conformal Bohm -- De Broglie gravity
• The unexpected resurgence of Weyl geometry in late 20-th century physics
• Disformal transformations and the motion of a particle in semi-classical gravity
• Metric Measure Space as a Framework for Gravitation
• Some clarifications about the Bohmian geodesic deviation equation and Raychaudhuri's equation
• Consequences of a Two-Time Relativistic Bohmian Model
• What can we learn from the conformal noninvariance of the Klein-Gordon equation?
• Causal loop quantum cosmology in momentum space
• A Generalized Uncertainty Principle from a Mediating Field
• Bohmian Zitterbewegung