We discuss the general structure of metric geometries, and how metricity implies the complete antisymmetry of Cartan tensor; an application in the frame of Lie group theory is given. Interpretations of the completely antisymmetric torsion in physical models are reviewed.

We analyze the discrete multiwavelet transform using symmetric–antisymmetric orthonormal multifilters (SAOMF’s) and prove that for any even-length SAOMF, we can always find an odd-length SAOMF such that the implementation of discrete multiwavelet transform using either the even-length or the odd-length SAOMF produces identical output for a given input signal if the sum/difference prefilter is c...

We study how the entropic uncertainty relation for position and momentum conjugate variables is minimized in the subspace of one-dimensional antisymmetric wave functions. Based partially on numerical evidence and partially on analytical results, a conjecture is presented for the sharp bound and for the minimizers. Conjectures are also presented for the corresponding sharp Hausdorff-Young inequa...

This paper discusses the possibility of using Compton scattering--an inelastic X-ray scattering process that yields a projection of the electron momentum density--to probe magnetoelectrical properties. It is shown that an antisymmetric component of the momentum density is a unique fingerprint of such time- and parity-odd physics. It is argued that polar ferromagnets are ideal candidates to demo...

From a path integral point of view (e.g. [Q98]) physicists have shown how duality in antisymmetric quantum field theories on a closed spacetime manifold M relies in a fundamental way on Fourier Transformations of formal infinite-dimensional volume measures. We first review these facts from a measure theoretical point of view, setting the importance of the Hodge decomposition theorem in the unde...

We discuss and prove dipole-quadrupole degeneracy in kinematic dynamos with homogeneous conductivity and certain very natural symmetry properties. In the case of 2-dynamos, symmetric and antisymmetric modes have the same conditions of excitation and the same real growth rates. For non-vanishing velocity field, i. e. 2!-dynamos (including a possible poloidal flow), symmetric and antisymmetric mo...