Classical and quantized aspects of dynamics in five dimensional relativity

Abstract

A null path in 5D can appear as a timelike path in 4D, and for a certain gauge in 5D the motion of a massive particle in 4D obeys the usual quantization rule with an uncertainty-type relation. Generalizations of this result are discussed in regard to induced-matter and membrane theory.

26 pages, in press in Class. Quant. Grav

References in corpus (5)

• Null Geodesics in Five Dimensional Manifolds
• Null Geodesics in Brane World Universe
• Does The Force From an Extra Dimension Contradict Physics in 4D?
• Induced Matter and Particle Motion in Non-Compact Kaluza-Klein Gravity
• The Cosmological Constant Problem and Kaluza-Klein Theory

Cited by in corpus (13)

• Is Mass Quantized?
• Gauge-Dependent Cosmological "Constant"
• Single field inflationary models with non-compact Kaluza-Klein theory
• Astrophysical Implications of Higher-Dimensional Gravity
• Invariant definition of rest mass and dynamics of particles in 4D from bulk geodesics in brane-world and non-compact Kaluza-Klein theories
• General Relativity and Quantum Mechanics in Five Dimensions
• An Embedding for General Relativity and its Implications for New Physics
• Stabilization of test particles in Induced Matter Kaluza-Klein theory
• Space-Time Uncertainty from Higher-Dimensional Determinism (or: How Heisenberg was right in 4D because Einstein was right in 5D)
• Quantum mechanics and geodesic deviation in the brane world
• Non-integrability and Mach's principle in Induced Matter Theory
• A five-dimensional vacuum-defect wormhole space-time
• Higher-dimensional topologically charged traversable defect wormhole with non-exotic matter