The Riemann Curvature Tensor and Higgs Scalar Field within CAM Theory

Wolk, Brian Jonathan

doi:10.1007/s00006-019-1033-5

Cited by 2 publications

(2 citation statements)

References 41 publications

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“…[1][2][3][4][5] CAM's current additional successes include intrinsic accommodation of chiral asymmetry for SU (2), 2 natural provision of a noninteractive right-chiral neutrino, 2 imposition of experimentally verified phenomenological constraints on gauge mediated proton decay, 5 and introduction of a Higgs-like field intrinsically coupled to the space-time continuum. 95 What is interesting about these theoretic successes is that each evidences qualitative and quantitative differences between the CAM and YM models. And each of these theoretic successes points to CAM as the more fundamental framework for generating the elementary-particle forces.…”

Section: The Cam Frameworkmentioning

confidence: 99%

“…1 herein), while also generating the Lagrangian of general relativity theory. 95 Composition algebras are algebras A such that for any two elements the algebraic norm of their product equals the product of their norms: 13,14 xy = x y ∀x, y ∈ A. These composition algebras exist only in 1, 2, 4 and 8 dimensions, corresponding to K = {R, C, H, O} (Refs.…”

Section: Primary Motivationmentioning

confidence: 99%

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The underlying geometry of the CAM gauge model of the Standard Model of particle physics

Wolk¹

2020

Int. J. Mod. Phys. A

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The Composition Algebra-based Methodology (CAM) [B. Wolk, Pap. Phys. 9, 090002 (2017); Phys. Scr. 94, 025301 (2019); Adv. Appl. Clifford Algebras 27, 3225 (2017); J. Appl. Math. Phys. 6, 1537 (2018); Phys. Scr. 94, 105301 (2019), Adv. Appl. Clifford Algebras 30, 4 (2020)], which provides a new model for generating the interactions of the Standard Model, is geometrically modeled for the electromagnetic and weak interactions on the parallelizable sphere operator fiber bundle [Formula: see text] consisting of base space, the tangent bundle [Formula: see text] of space–time [Formula: see text], projection operator [Formula: see text], the parallelizable spheres [Formula: see text] conceived as operator fibers [Formula: see text] attaching to and operating on [Formula: see text] [Formula: see text] as [Formula: see text] varies over [Formula: see text], and as structure group, the norm-preserving symmetry group [Formula: see text] for each of the division algebras which is simultaneously the isometry group of the associated unit sphere. The massless electroweak [Formula: see text] Lagrangian is shown to arise from [Formula: see text]’s generation of a local coupling operation on sections of Dirac spinor and Clifford algebra bundles over [Formula: see text]. Importantly, CAM is shown to be a new genre of gauge theory which subsumes Yang–Mills Standard Model gauge theory. Local gauge symmetry is shown to be at its core a geometric phenomenon inherent to CAM gauge theory. Lastly, the higher-dimensional, topological architecture which generates CAM from within a unified eleven [Formula: see text]-dimensional geometro-topological structure is introduced.

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