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In Hamiltonian GR, change has seemed to be missing, defined only asymptotically, or otherwise obscured at best. By construing change as essential time dependence, can one find change locally in Hamiltonian GR with spinors? This paper is…

广义相对论与量子宇宙学 · 物理学 2021-11-24 J. Brian Pitts

The supersymmetric Lagrangian compatible with the presence of torsion in the background spacetime requires, in addition to the minimal coupling, an interaction between the spin and the torsion of the form ${1/2}…

高能物理 - 理论 · 物理学 2016-08-25 Osvaldo Chandia , Jorge Zanelli

The paper surveys recent progress in the search for an appropriate internal space algebra for the Standard Model (SM) of particle physics. As a starting point serve Clifford algebras involving operators of left multiplication by octonions.…

高能物理 - 理论 · 物理学 2023-08-08 Ivan Todorov

The relativistic spinning particle model, proposed in [3,4], is analyzed in a Hamiltonian framework. The spin is simulated by extending the configuration space by introducing a light-like four vector degree of freedom. The model is heavily…

高能物理 - 理论 · 物理学 2009-11-06 Sudipta Das , Subir Ghosh

The properties of a stationary massless string endowed with intrinsic spin are discussed. The spacetime is Minkowskian geometrically but the topology is nontrivial due to the horizon located on the surface $r=0$, similar with Rindler's…

高能物理 - 理论 · 物理学 2009-11-11 Hristu Culetu

The use of internal variables for the description of relativistic particles with arbitrary mass and spin in terms of scalar functions is reviewed and applied to the stochastic phase space formulation of quantum mechanics. Following Bacry…

广义相对论与量子宇宙学 · 物理学 2011-07-19 W. Drechsler

The space-time symmetry group of a model of a relativistic spin 1/2 elementary particle, which satisfies Dirac's equation when quantized, is analyzed. It is shown that this group, larger than the Poincare group, also contains space-time…

高能物理 - 理论 · 物理学 2009-11-11 Martin Rivas

We suggest the gauge groups SU(3), SU(2) and U(1) to share a common origin in U(3). We take the Lie group U(3) to serve as an intrinsic configuration space for baryons. A spontaneous symmetry break in the baryonic state selects a U(2)…

高能物理 - 唯象学 · 物理学 2020-07-08 Ole L. Trinhammer

The classical theory of strain in material continua is reviewed and generalized to space-time. Strain is attributed to "external" (matter/energy fields) and intrinsic sources fixing the global symmetry of the universe (defects in the…

广义相对论与量子宇宙学 · 物理学 2010-01-21 Angelo Tartaglia , Ninfa Radicella

The Standard Model plus gravitation is derived from general relativity with three dimensions of time. I claim that when the Lagrangian for general relativity is calculated using three dimensions of time, the unified field theory results. I…

高能物理 - 理论 · 物理学 2014-10-14 Peter Gillan

Classical description of relativistic pointlike particle with intrinsic degrees of freedom such as isospin or colour is proposed. It is based on the Lagrangian of general form defined on the tangent bundle over a principal fibre bundle. It…

高能物理 - 理论 · 物理学 2019-10-24 A. Duviryak

In this paper, we define a new spinor classification that encompasses the recently proposed spin-half bosons with mass dimension three-half. As it will be shown, these particles, which are governed by a first-order equation and consequently…

高能物理 - 理论 · 物理学 2021-05-18 R. J. Bueno Rogerio , A. R. Aguirre

To incorporate quantum nonlocality into general relativity, we propose that the preparation and measurement of a quantum system are simultaneous events. To make progress in realizing this proposal, we introduce a spacetime geometry that is…

综合物理 · 物理学 2023-11-01 Charlie Beil

We unearth spacetime structure of massive vector bosons, gravitinos, and gravitons. While the curvatures associated with these particles carry a definite spin, the underlying potentials cannot be, and should not be, interpreted as single…

广义相对论与量子宇宙学 · 物理学 2008-11-26 D. V. Ahluwalia , N. Dadhich , M. Kirchbach

The 2(2s+1)-component relativistic basis spinors for the arbitrary spin particles are established in position, momentum and four-dimensional spaces, where s=0,1 / 2,1, 3 / 2, 2, ... . These spinors for integral- and half-integral spins are…

综合物理 · 物理学 2012-06-19 I. I. Guseinov

The theory of spinors is developed for locally anisotropic (la) spaces, in brief la-spaces, which in general are modeled as vector bundles provided with nonlinear and distinguished connections and metric structures (such la-spaces contain…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Sergiu I. Vacaru

We discuss an ab initio world-line approach to constructing phase space distributions in systems with internal symmetries. Starting from the Schwinger-Keldysh real time path integral in quantum field theory, we derive the most general…

高能物理 - 理论 · 物理学 2019-03-13 Niklas Mueller , Raju Venugopalan

The Dirac equation provides a description of spin 1/2 particles, consistent with both the principles of quantum mechanics and of special relativity. Often its presentation to students is based on mathematical propositions that may hide the…

量子物理 · 物理学 2009-06-01 S. Savasta , O. Di Stefano , O. M. Marago

To model the interior of a black hole, a study is made of a spin system with long-range random four-spin couplings that exhibits quantum chaos. The black hole limit corresponds to a system where the microstates are approximately degenerate…

高能物理 - 理论 · 物理学 2020-07-15 David A Lowe , Mengyang Tong

In this study we prove that the Pauli interaction -- which is associated with a length parameter -- emerges when the minimal coupling recipe is applied to the non-degenerate version of the Dirac Lagrangian. The conventional Dirac Lagrangian…

广义相对论与量子宇宙学 · 物理学 2024-08-12 J. Struckmeier , D. Vasak , A. Redelbach , H. Stöcker