From Kerr to Heisenberg
- URL: http://arxiv.org/abs/2103.03763v1
- Date: Fri, 5 Mar 2021 15:46:18 GMT
- Title: From Kerr to Heisenberg
- Authors: Angelo Tartaglia, Matteo Luca Ruggiero
- Abstract summary: We consider the space-time of a charged mass endowed with an angular momentum.
The peculiar symmetry, though exact, is usually described in terms of the gravito-magnetic field originated by the angular momentum of the source.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: In this paper we consider the space-time of a charged mass endowed with an
angular momentum. The geometry is described by the exact Kerr-Newman solution
of the Einstein equations. The peculiar symmetry, though exact, is usually
described in terms of the gravito-magnetic field originated by the angular
momentum of the source. A typical product of this geometry is represented by
the generalized Sagnac effect. We write down the explicit form for the
right/left asymmetry of the times of flight of two counter-rotating light beams
along a circular trajectory. Letting the circle shrink to the origin the
asymmetry stays finite. Furthermore it becomes independent both from the charge
of the source (then its electromagnetic field) and from Newton's constant: it
is then associated only to the symmetry produced by the gravitomagnetic field.
When introducing, for the source, the spin of a Fermion, the lowest limit of
the Heisenberg uncertainty formula for energy and time appears.
Related papers
- The Kepler problem on the lattice [0.0]
We study the motion of a particle in a 3-dimensional lattice in the presence of a Coulomb potential.
We demonstrate semiclassicaly that the trajectories will always remain in a plane which can be taken as a rectangular lattice.
arXiv Detail & Related papers (2024-06-26T23:16:35Z) - Geometric post-Newtonian description of massive spin-half particles in
curved spacetime [0.0]
We consider the Dirac equation coupled to an external electromagnetic field in curved four-dimensional spacetime with a given timelike worldline $gamma$ representing a classical clock.
We use generalised Fermi normal coordinates in a tubular neighbourhood of $gamma$ and expand the Dirac equation up to, and including, the second order in the dimensionless parameter.
We give the weak-gravity post-Newtonian expression for the Pauli Hamiltonian of a spin-half particle in an external electromagnetic field.
arXiv Detail & Related papers (2023-07-10T17:53:19Z) - $E=mc^2$ versus Symmetry for Lorentz Covariant Physics [0.0]
We argue against taking the Poincar'e symmetry as the fundamental symmetry behind relativistic' quantum dynamics.
The action of any position operator of a quantum state violates the on-shell mass condition.
arXiv Detail & Related papers (2023-05-16T06:49:16Z) - Adiabatic amplification of energy and magnetic moment of a charged
particle after the magnetic field inversion [77.34726150561087]
We study the evolution of the energy and magnetic moment of a quantum charged particle placed in a homogeneous magnetic field.
We show that after a single magnetic field passage through zero value, the famous adiabatic invariant ratio of energy to frequency is reestablished again.
arXiv Detail & Related papers (2023-04-10T00:46:15Z) - Dirac Equation for Photons: Origin of Polarisation [0.0]
We discuss propagation of coherent rays of photons in a graded-index optical fibre.
The energy spectrum is massive with the effective mass as a function of the confinement and orbital angular momentum.
Spin expectation value of a photon corresponds to the polarisation state in the Poincar'e sphere.
arXiv Detail & Related papers (2023-03-30T03:34:59Z) - Partition of kinetic energy and magnetic moment in dissipative
diamagnetism [20.218184785285132]
We analyze dissipative diamagnetism, arising due to dissipative cyclotron motion in two dimensions, in the light of the quantum counterpart of energy equipartition theorem.
The expressions for kinetic energy and magnetic moment are reformulated in the context of superstatistics.
arXiv Detail & Related papers (2022-07-30T08:07:28Z) - Chiral Dirac-like fermion in spin-orbit-free antiferromagnetic
semimetals [21.85167942898987]
Dirac semimetal is a phase of matter, whose elementary excitation is described by the relativistic Dirac equation.
Inspired by the flavor symmetry in particle physics, we propose a massless Dirac-like equation yet linking two Weyl fields with the identical chirality.
Our work reveals a counterpart of the flavor symmetry in magnetic electronic systems, leading to further possibilities of emergent phenomena in quantum materials.
arXiv Detail & Related papers (2021-07-21T09:56:14Z) - Weyl-invariant derivation of Dirac equation from scalar tensor fields in
curved space-time [0.0]
We present a derivation of Dirac's equation in a curved space-time starting from a Weyl-invariant action principle in 4+K dimensions.
The resulting Dirac's equation yields naturally to the correctmagnetic ratio $g_e=2$ for the electron.
arXiv Detail & Related papers (2021-03-03T10:40:58Z) - New approach to describe two coupled spins in a variable magnetic field [55.41644538483948]
We describe the evolution of two spins coupled by hyperfine interaction in an external time-dependent magnetic field.
We modify the time-dependent Schr"odinger equation through a change of representation.
The solution is highly simplified when an adiabatically varying magnetic field perturbs the system.
arXiv Detail & Related papers (2020-11-23T17:29:31Z) - Topological Quantum Gravity of the Ricci Flow [62.997667081978825]
We present a family of topological quantum gravity theories associated with the geometric theory of the Ricci flow.
First, we use BRST quantization to construct a "primitive" topological Lifshitz-type theory for only the spatial metric.
We extend the primitive theory by gauging foliation-preserving spacetime symmetries.
arXiv Detail & Related papers (2020-10-29T06:15:30Z) - Zitterbewegung of massless particles [91.3755431537592]
Zitterbewegung of massless particles with an arbitrary spin is analyzed in various representations.
Zitterbewegung takes place in any representation except for the Foldy-Wouthuysen one.
arXiv Detail & Related papers (2020-08-12T14:16:44Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.