A Quantum Representation of the Homogeneous 5D Manifold and the Perelman Mappings of 5D onto Non-Homogeneous Lorentz 4D Manifolds

Kai Wai Wong,Wan Ki Chow,Peter Chin Wan Fung

doi:10.4236/jmp.2019.105039

Kai Wai Wong, Wan Ki Chow + Show 1 more

Open Access

https://doi.org/10.4236/jmp.2019.105039

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Abstract

The expression of the Maxwell magnetic monopole was employed to correlate the space to space projection that gives rise to the Gell-Mann standard model, and space to time projection which gives the leptons; and how does it correlate to the Perelman mappings from the homogeneous 5D manifold to the Lorentz 4D manifold, together with correlating the physical consequences caused by the breaking of the Diagonal Long Range Order [DLRO] of the monopoles quantum states affected by the motion of massive particles in the Lorentz 4D boundary of the 5D manifold, which leads to gravitons and the gravity field via the General Relativity covariant Riemannian 4D curvatures metric equation.

Highlights

The homogeneous 5D manifold was presented several years back [1] to explain mainly how the Gell-Mann standard model [2] can be created from the homogeneous symmetry breaking via space dimension reduction projections
The dipole H field obtained from J or −J is given by the loop currents thermal averaged over product of two Fermi distributions of e, pxr′ and −e, − pxr′ ; [see Fung and Wong [14] on the Hz field of stars, JMP for details] the second term is the +q nuclei with mass m(+)’s centrifugal force, arising from the outward spiral of m(+) as its Lz′ changes caused by a −Lz′ of pairs of ee-trino and anti-e-trino in phase rotation within the 5D core; note z′ cannot be aligned with Hz as it will lead to the e-trino, anti-e-trino annihilation, while the last term comes from the magnetic monopole quantum well, that the charge current “qv” was created via the dimension reduction projection
It is best to summarize the important mathematical theorems that are employed in the 5D theory we present in this paper

Summary

Introduction

The homogeneous 5D manifold was presented several years back [1] to explain mainly how the Gell-Mann standard model [2] can be created from the homogeneous symmetry breaking via space dimension reduction projections.

Results

Conclusion