General Relativity and Quantum Mechanics in Five Dimensions

Abstract

In 5D, I take the metric in canonical form and define causality by null-paths. Then spacetime is modulated by a factor equivalent to the wave function, and the 5D geodesic equation gives the 4D Klein-Gordon equation. These results effectively show how general relativity and quantum mechanics may be unified in 5D.

References in corpus (7)

• Application of the Campbell-Magaard theorem to higher-dimensional physics
• $D$-Dimensional Gravity from $(D+1)$ Dimensions
• Null Geodesics in Five Dimensional Manifolds
• Null Geodesics in Brane World Universe
• Classical and quantized aspects of dynamics in five dimensional relativity
• de Sitter inflationary expansion from a noncompact KK theory: a nonperturbative quantum (scalar) field formalism
• Fierz-Pauli equation for massive gravitons from Induced Matter theory of gravity

Cited by in corpus (9)

• Vacuum Waves
• Mach's Principle and Higher-Dimensional Dynamics
• Scaling Relations for the Cosmological "Constant" in Five-Dimensional Relativity
• The Dispersion Relation for Matter Waves in a Two-Phase Vacuum
• Mach's principle and the origin of the quantum phenomenon
• Dirac equation in a de Sitter expansion for massive neutrinos from modern Kaluza-Klein theory
• Particle-antiparticle duality from an extra time-like dimension
• Intrinsic quantum dynamics of particles in brane gravity
• Paul Wesson and Space-Time-Matter Theory