2017
DOI: 10.1142/s0217751x17501172
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The zitterbewegung region

Abstract: This paper deals with a precise description of the region of zitterbewegung below the Compton scale and the stochastic nature associated with it. We endeavour to delineate this particular region by dint of Ito's calculus and instigate certain features that are in sharp contrast with conventional physics. *

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Cited by 11 publications
(5 citation statements)
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“…At T = T c , we have the phase transition in the Universe when the electroweak spontaneous breakdown of symmetry SU (2) L × U (1) Y → U (1) el.mag creates new topological defects of the EW vacuum: the Abrikosov-Nielsen-Olesen closed magnetic vortices ("ANO strings") of an Abelian Higgs model [73,74] and point-like Compton phase objects [75][76][77].…”
Section: Stability Of the Ew Vacuummentioning
confidence: 99%
“…At T = T c , we have the phase transition in the Universe when the electroweak spontaneous breakdown of symmetry SU (2) L × U (1) Y → U (1) el.mag creates new topological defects of the EW vacuum: the Abrikosov-Nielsen-Olesen closed magnetic vortices ("ANO strings") of an Abelian Higgs model [73,74] and point-like Compton phase objects [75][76][77].…”
Section: Stability Of the Ew Vacuummentioning
confidence: 99%
“…Interestingly, Hestenes [3,4] too sought to explain quantum mechanics through the phenomenon of zitterbewegung. Besides, the authors of this paper have also studied the aforesaid phenomenon quite extensively in the past few years [5,6,7,8,9,10]. However, in this paper we shall derive some interesting results that substantiate that the Compton scale and zitterbewegung can delineate several phenomena.…”
Section: Introductionmentioning
confidence: 76%
“…Thus, from various points of view we come to the conclusion that the zitterbewegung region is eliminated during observable physical processes. What we have argued is that classical physics represented by the first two terms of equation (9) where the positive and negative energy solution stand decoupled into separate domains. But, on the contrary, it is the interference of these two that gives rise to quantum mechanics.…”
Section: Discussionmentioning
confidence: 99%
“…The Electroweak spontaneous breakdown of symmetry SU(2) L × U(1) Y → U(1) el.mag leads to the creation of the topological defects in the EW vacuum. They are the Abrikosov-Nielsen-Olesen closed magnetic vortices ("ANO strings") of the Abelian Higgs model [76,77], and Sidharth's Compton phase objects [78][79][80]. Then the electroweak vacuum again presents the non-differentiable manifold, and we have to consider the non-commutative geometry.…”
Section: The Phase Transition From the "False Vacuum" To The "True Vamentioning
confidence: 99%
“…At T = T c , we have the phase transition in the Universe when the electroweak spontaneous breakdown of symmetry SU(2) L × U(1) Y → U(1) el.mag creates new topological defects of the EW vacuum: the Abrikosov-Nielsen-Olesen closed magnetic vortices ("ANO strings") of an Abelian Higgs model [76,77] and point-like Compton phase objects [78][79][80]. Therefore below energy E = E threshold we have the following effective Higgs potential:…”
Section: Threshold Energy Of the Su(2)-triplet Higgs Bosonsmentioning
confidence: 99%