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math-ph2026

Representation of the causal logic for the Dirac system and the electron

Domenico P. L. Castrigiano, Carmine De Rosa, Valter Moretti

We construct a covariant representation of the causal logic for the Dirac system and the electron, based on the conserved Dirac probability current and a general current-to-localiz…

math-ph20261 cited

Achronal localization and representation of the causal logic from a conserved current, application to the massive scalar boson

Domenico P. L. Castrigiano, Carmine De Rosa, Valter Moretti

Only recently the concept of achronal localization has been developed as the adequate frame for the description of the localizability of a relativistic quantum mechanical system. H…

math-ph2025

Localization of the massive scalar boson on achronal hyperplanes, derivation of Lorentz contraction

Domenico P. L. Castrigiano

It is shown that the causal localizations of the massive scalar boson on spacelike hyperplanes extend uniquely to all achronal hyperplanes. The extension occurs by means of the hig…

math-ph2025

Achronal Localization, Representations of the Causal Logic for massive systems

Domenico P. L. Castrigiano

On plain physical grounds localization of relativistic quantum particles is extended to the achronal regions of Minkowski spacetime. Achronal localization fulfills automatically th…

math-ph2024

Dirac and Weyl Fermions -- the Only Causal Systems

Domenico P. L. Castrigiano

Causal systems describe the localizability of relativistic quantum systems complying with the principles of special relativity and elementary causality. At their classification we…