Classical-physics applications for Finsler b space

Foster, Joshua W.; Lehnert, Ralf

doi:10.1016/j.physletb.2015.04.047

Cited by 74 publications

(59 citation statements)

References 133 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…An analysis of this type has recently become feasible following the detailed classification and enumeration of Lorentz-violating modifications to the Dirac equation at arbitrary d [37], which includes operators of both renormalizable and nonrenormalizable dimensions. Operators of higher d are of crucial interest in several contexts including, for example, foundational perspectives such as causality and stability [38,39] or the underlying pseudo-Riemann-Finsler geometry [40,41], practical issues such as the mixing of operators of different d through radiative corrections [42], and phenomenological effects arising in certain theories such as supersymmetric Lorentz-violating models [43] or noncommutative quantum electrodynamics [33,34,44]. The spectroscopic experiments proposed here therefore have potential to bear on many aspects of Lorentz and CPT violation.…”

Section: Introductionmentioning

confidence: 99%

Lorentz andCPTtests with hydrogen, antihydrogen, and related systems

2015

View full text Add to dashboard Cite

The potential of precision spectroscopy as a tool in systematic searches for effects of Lorentz and CPT violation is investigated. Systems considered include hydrogen, antihydrogen, deuterium, positronium, and hydrogen molecules and molecular ions. Perturbative shifts in energy levels and key transition frequencies are derived, allowing for Lorentz-violating operators of arbitrary mass dimensions. Observable effects are deduced from various direct measurements, sidereal and annual variations, comparisons among species, and gravitational responses. We use existing data to place new and improved constraints on nonrelativistic coefficients for Lorentz and CPT violation, and we provide estimates for the future attainable reach in direct spectroscopy of the various systems or tests with hydrogen and deuterium masers. The results reveal prospective sensitivities to many coefficients unmeasured to date, along with potential improvements of a billionfold or more over certain existing results.

show abstract

Section: Introductionmentioning

confidence: 99%

Lorentz andCPTtests with hydrogen, antihydrogen, and related systems

2015

View full text Add to dashboard Cite

show abstract

“…the Bipartite tensor provides two copies of the Randers space [28,31]. These both Finsler spacetimes stem from the classical Lagrangian for fermion under chiral CPT-odd Lorentz violating interactions [31].…”

Section: Bipartite-finsler Spacementioning

confidence: 99%

“…In SME-based Finsler geometry the Finsler function is derived from a point-particle Lagrangian with SME coefficients [22,23,24,25]. A CPT-odd fermion has a Finsler structure given by the well-known Randers space [26], whereas a chiral CPT-odd fermion pointparticle describes a geodesic motion in a novel Finsler space called b-space [22,28]. Both Randers and b-space have Finsler functions (and hence the local Lorentz violation) driven by background vectors.…”

Section: Introductionmentioning

confidence: 99%

Bipartite-Finsler symmetries

2019

View full text Add to dashboard Cite

In this work, we study the symmetries of a Lorentz violating bipartite-Finsler spacetime. By using the Finslerian Killing equation for the bipartite-Finsler metric, we analyze how the anisotropy of the bipartite spacetime modifies the local Lorentz symmetries. The symmetries of the Finsler metric allow us to obtain the bipartite algebra and interpreted it as a deformed Lorentz algebra. Causality effects driven by the particle modified dispersion relations are investigated upon Minkowski and the Schwarzschild spacetimes. The background bipartite tensor yields to superluminal velocities and modifies the effective gravitational potential.

show abstract

“…We use in the following a canonical and distinguished d−connection D, rel. (25)(26)(27)(28). We additionally consider the connection to be Cartan-type [57,58], so we have…”

Section: B Connection Coefficients and Curvature Of The Modelmentioning

confidence: 99%

Weak field equations and generalized FRW cosmology on the tangent Lorentz bundle

Triantafyllopoulos

Stavrinos

2018

Class. Quantum Grav.

View full text Add to dashboard Cite

We study field equations for a weak anisotropic model on the tangent Lorentz bundle TM of a spacetime manifold. A geometrical extension of General Relativity (GR) is considered by introducing the concept of local anisotropy, i.e. a direct dependence of geometrical quantities on observer 4−velocity. In this approach, we consider a metric on TM as the sum of an h-Riemannian metric structure and a weak anisotropic perturbation, field equations with extra terms are obtained for this model. As well, extended Raychaudhuri equations are studied in the framework of Finsler-like extensions. Canonical momentum and mass-shell equation are also generalized in relation to their GR counterparts. Quantization of the mass-shell equation leads to a generalization of the Klein-Gordon equation and dispersion relation for a scalar field. In this model the accelerated expansion of the universe can be attributed to the geometry itself. A cosmological bounce is modeled with the introduction of an anisotropic scalar field. Also, the electromagnetic field equations are directly incorporated in this framework.

show abstract

Classical-physics applications for Finsler b space

Cited by 74 publications

References 133 publications

Lorentz andCPTtests with hydrogen, antihydrogen, and related systems

Lorentz andCPTtests with hydrogen, antihydrogen, and related systems

Bipartite-Finsler symmetries

Weak field equations and generalized FRW cosmology on the tangent Lorentz bundle

Contact Info

Product

Resources

About