Five-dimensional relativity and two times

  title={Five-dimensional relativity and two times},
  author={Paul S. Wesson},
  journal={Physics Letters B},
  • P. Wesson
  • Published 28 May 2002
  • Physics, Geology
  • Physics Letters B

The 4D Klein-Gordon, Dirac and Quantization Equations from 5D Null Paths

Results from 5D induced-matter and membrane theory with null paths are extended to show that a particle obeys the 4D Klein-Gordon equation but with a variable mass. The Dirac equation also follows,

Fifth Force from Fifth Dimension: A Comparison Between Two Different Approaches

We investigate the dynamics of particles moving in a spacetime augmented by one extra dimension in the context of the induced matter theory of gravity. We examine the appearance of a fifth force as

Particle-antiparticle duality from an extra timelike dimension

It is a well known fact that the usual complex structure on the real Clifford Algebra (CA) of Minkowski spacetime can be obtained by adding an extra time-like dimension, instead of the usual

Constraints on Space-Time-Matter Theory in the Framework of the Standard-Model Extension

We use experimental limits on Lorentz violation within the framework of the Standard-Model Extension to derive quantitative constraints on Space-Time-Matter theory, a version of Kaluza–Klein theory

The dispersion relation for matter waves in a two-phase vacuum

The cosmological constant Λ of general relativity is a natural consequence of embedding Einstein's theory in a five-dimensional (5D) theory of the type needed for unification. The exact 5D solution


The classical confinement condition of test particles to a brane universe in the absence of non-gravitational forces is transformed using the Hamilton–Jacobi formalism. The transformed condition

3+2 cosmology: Unifying FRW metrics in the bulk

The Cosmological Problem is considered in a five-dimensional (bulk) manifold with two time coordinates, where the vacuum Einstein field equations are enforced. The evolution formalism is used there,

Modern cosmologies from empty Kaluza-Klein solutions in 5D

We show that the empty five-dimensional solutions of Davidson-Sonnenschtein-Vozmediano, Phys. Rev. D 32 (1985) 1330, in the ``old'' Kaluza-Klein gravity, under appropriate interpretation can generate

Mass and Charge in Brane-World and Non-Compact Kaluza-Klein Theories in 5 Dim

In classical Kaluza-Klein theory, with compactified extra dimensions and without scalar field, the rest mass as well as the electric charge of test particles are constants of motion. We show that in

Creation of Neutral Fundamental Particles in the Weyl–Dirac Version of Wesson’s IMT

Abstract Spherically symmetric entities filled with matter and induced by the 5D bulk may be built in the empty 4D space-time. The substance of the entity, the latter regarded as a fundamental



Waves in five-dimensional relativity theory

We give an exact solution of the five-dimensional relativity equations, and interpret it using the induced-matter formalism wherein geometry in 5D gives rise to matter in 4D. The solution represents

Class of exact solutions in 5D gravity and its physical properties.

A class of solutions of the field equations of five-dimensional general relativity that is static and spherically symmetric in ordinary three-dimensional space is derived, which could be used with data on gravitational lensing to look for a fifth dimension.

String and particle with two times

An action for a string and a particle with two timelike dimensions is proposed and analyzed. Due to new gauge symmetries and associated constraints, the motion of each system in the background of the

Null Geodesics in Five-Dimensional Manifolds

We analyze a class of 5D non-compact warped-product spaces characterized by metrics that depend on the extra coordinate via a conformal factor. Our model is closely related to the so-called canonical

Gauged duality, conformal symmetry, and spacetime with two times

We construct a duality between several simple physical systems by showing that they are different aspects of the same quantum theory. Examples include the free relativistic massless particle and the


We study the relationship between space–time–matter (STM) and brane theories. These two theories look very different at first sight, and have different motivation for the introduction of a large

Opposite Thermodynamic Arrows of Time

A model with two weakly coupled systems having opposite thermodynamic arrows of time is exhibited. The essential conceptual step is the phrasing of the problem as a two‐time boundary value problem.

Fermion-boson duality in integrable quantum field theory

We introduce and study one-parameter family of integrable quantum field theories. This family has a Lagrangian description in terms of massive Thirring fermions ψ, ψ† and charged bosons χ, of complex