arXiv subjects

Richard James Petti

Publications and source records attributed to Richard James Petti.

3 recordsLinked to original sources

arXiv2022

Conformal Structure of Quantum Wave Mechanics

This work interprets the quantum terms in a Lagrangian, and consequently of the wave equation and momentum tensor, in terms of a modified spacetime metric. Part I interprets the quantum terms in the Lagrangian of a Klein Gordon field as scalar curvature of conformal dilation covector nm that is proportional to hbar times the gradient of wave amplitude R. Part II replaces conformal dilation with a conformal factor rho that defines a modified spacetime metric gc = exp(rho) g, where g is the gravitational metric. Quantum terms appear only in metric gc and its metric connection coefficients. Metric gc preserves lengths and angles in classical physics and in the domain of the quantum field itself. gc combines concepts of quantum theory and spacetime geometry in one structure. The conformal factor can be interpreted as the limit of a distribution of inclusions and voids in a lattice that cause the metric to bulge or contract. All components of all free quantum fields satisfy the Klein Gordon equation, so this interpretation extends to all quantum fields. Measurement operations, and elements of quantum field theory are not considered.

gr-qc↗

arXiv2022

Derivation of Einstein Cartan theory from General Relativity

This work derives the elements of classical Einstein Cartan theory (EC) from classical general relativity (GR) in two ways. (I) Derive discrete versions of torsion (translational holonomy) and the spin torsion field equation of EC from one Kerr solution in GR. (II) Derive the field equations of EC as the continuum limit of a distribution of many Kerr masses in classical GR. The convergence computations employ epsilon delta arguments, and are not as rigorous as convergence in Sobolev norm. Inequality constraints needed for convergence restrict the limits from continuing to an infinitesimal length scale. EC enables modeling exchange of intrinsic and orbital angular momentum, which GR cannot do. Derivation of EC from GR strengthens the case for EC and for new physics derived from EC.

gr-qc↗

arXiv2022

Do Some Virtual Bound States Carry Torsion Trace?

This article presents theoretical arguments that certain virtual bound states carry the trace component of affine torsion. The motivation for this work is that Einstein Cartan theory, which extends general relativity by including torsion to model intrinsic angular momentum, is becoming more credible. The author is not aware of any situation for which there is evidence or substantial argument for the presence of torsion trace, except in the continuum theory of edge dislocations in crystals. The main evidence for the hypothesis consists of analogies between the structure of virtual bound states and (a) geometry of dislocations in crystal lattices, which are modeled with torsion; and (b) modeling of intrinsic angular momentum by torsion in Einstein Cartan theory and the theory of microelasticity. The work focuses on conjectured presence of torsion in para-positronium, which intermediates annihilation of an electron and a positron with opposite z spins. If the virtual bound state carries torsion, then the local law of conservation of angular momentum can hold over the spacelike separation during annihilation.

gr-qc↗