In this paper, we suggest an alternative strategy to derive the complex two-component Majorana equation with a mass term and elucidate the related Lorentz transformation. The Majorana equation is established completely on its own, rather than derived from the chiral Dirac equation. Thereby, use is made of the complex conjugation operator and Pauli spin matrices only. The eigenfunctions of the t...

We extend the notion of self-duality to spaces built from a set of representations of the Lorentz group with bosonic or fermionic behaviour, not having the traditional spin-one upper-bound of super Minkowski space. The generalized derivative vector fields on such superspaces are assumed to form a superalgebra. Introducing corresponding gauge potentials and hence covariant derivatives and curvat...

We have given some arguments that a two-dimensional Lorentz-invariant Hamiltonian may be relevant to the Riemann hypothesis concerning zero points of the Riemann zeta function. Some eigenfunction of the Hamiltonian corresponding to infinite-dimensional representation of the Lorentz group have many interesting properties. Especially, a relationship exists between the zero zeta function condition...

The thermodynamic interaction of a free Fermion system is alternatively described by the coupling of particles with the vacuum of a scalar pseudo boson which features a self-interaction. The proper temperature is shown as a Lorentz scalar in a Lorentz invariant framework. At thermodynamic equilibrium, the Lorentz transformation of temperature is investigated based on the conceptions of the rela...

A general Lorentz-violating extension of the minimal SU(3) × SU(2)× U(1) standard model is described, including both CPT-even and CPT-odd terms. Some theoretical properties and experimental implications are given. The extension can be regarded as a low-energy limit of a physically relevant Lorentz-covariant fundamental theory in which spontaneous Lorentz violation occurs.

In this talk, the stationary limit of Lorentz-violating electrodynamics is discussed. As illustrated by some simple examples, the general solution includes unconven-tional mixing of electrostatic and magnetostatic effects. I discuss a high-sensitivity null-type measurement, exploiting Lorentz-violating electromagnetostatic effects, that could improve existing limits on parity-odd coefficients f...

This article‡ reports on the Fourth Meeting on Lorentz and CPT Symmetry, CPT ’07, held in August 2007 in Bloomington, Indiana, USA. The focus is on recent tests of Lorentz symmetry using atomic and optical physics. Results presented at the meeting include improved bounds on Lorentz violation in the photon sector, and the first bounds on several coefficients in the gravity sector.

Supersymmetry can be modified to include violation of Lorentz symmetry. Lorentz violation can occur for example spontaneously in string theory as a tiny effect at an ultraviolet energy scale or in condensed matter systems with chemical potential. We review some of the possible ways Lorentz violation can take place while preserving supersymmetry.

The thermodynamic interaction of a free Fermion system is alternatively described by the coupling of particles with the vacuum of a scalar pseudo boson which features a self-interaction. The proper temperature is shown as a Lorentz scalar in a Lorentz invariant framework. At thermodynamic equilibrium, the Lorentz transformation of temperature is investigated based on the conceptions of the rela...

Superfield realizations of Lorentz-violating extensions of the Wess-Zumino model are presented. These models retain supersymmetry but include terms that explicitly break the Lorentz symmetry. The models can be understood as arising from superspace transformations that are modifications of the familiar one in the Lorentz-symmetric case. Typeset using REVTEX ∗Electronic address: [email protected]