A Novel Approach to Extra Dimensions

Abstract

Four-dimensional spacetime, together with a natural generalisation to extra dimensions, is obtained through an analysis of the structures and symmetries deriving from possible arithmetic expressions for one-dimensional time. On taking the infinitesimal limit this simple one-dimensional structure can be consistently equated with a homogeneous form of arbitrary dimension possessing both spacetime and more general symmetries. An extended 4-dimensional manifold, with the associated spacetime symmetry, provides a natural breaking mechanism for a higher-dimensional form and symmetry of time. It will be described how this symmetry breaking leads to a series of distinct properties of the Standard Model of particle physics, deriving directly from the natural mathematical development of the theory.

30 pages, 1 figure

References in corpus (6)

• Simple groups stabilizing polynomials
• Jordan algebras, exceptional groups, and higher composition laws
• Jordan C*-Algebras and Supergravity
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• E6, the Group: The structure of SL(3,O)
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Cited by in corpus (5)

• Construction of a Kaluza-Klein type Theory from One Dimension
• Generalised Proper Time as a Unifying Basis for Models with Two Right-Handed Neutrinos
• Time, E8, and the Standard Model
• Quantum Gravity from the Composition of Spacetime Constructed through Generalised Proper Time
• The Structure of Matter in Spacetime from the Substructure of Time