Causality and Lorentz Invariance in Relativistic Quantum Mechanics.

O. Costa de Beauregard

We illustrate Craig Dilworth’s conception of scientific explanation in discussing the interpretation of relativistic quantum mechanics (rather than non–relativistic quantum mechanics, which misses significant elements). The Lorentz–invariant macro–relativity of 1905, which preserved temporal succession and was compatible with the concept of a retarded causality, is distinguished from the Lorentz–and-Lüders invariant micro–relativity of 1952, which postulates a reversibility (CPT–invariance) of causality. In 1927 Einstein brought into prominence an essential incompatibility between his relativity of 1905 (supplemented by the postulate of retarded causality) and ‘the statistical interpretation’ of the ‘new quantum mechanics’ of Born (1926) and Jordan (1926). Here we show (in keeping with other authors) the perfect compatibility of micro–relativity (in the sense of Lüders) and the ‘wavelike calculus of probabilities’ according to Born and Jordan; the ‘EPR correlations’ and ‘Wheeler’s smoky dragon’ illustrate the spatial and temporal aspects of the ‘non–separability’ inherent in quantum mechanics. We argue that psychic non–separability is a corollary of physical non–separability. It thus appears that telepathy, precognition and psychokinesis are more than permitted – they are actually suggested by the symmetries of the formalism. Incidentally, we propose a reconceptualization and a reformalization of the classical calculus of conditional probabilities intended to confer on them an intersubjectivity in harmony with a contingent physics, a manifest relativistic covariance, and an exact correspondence with the ‘wave’ formalism of Born and Jordan.

A. O. Barut, Arthur S. Wightman

Yasuo Tanaka

This work presents a minimal reinterpretation of quantum entanglement based solely on the causal structure inherent in relativistic spacetime. No new physical entities, parameters, or modifications to existing theories are introduced.The discussion remains entirely within the established frameworks of general relativity and quantum mechanics, with particular emphasis on Lorentz invariance and relativistic causality. The central idea is that the causal structure of spacetime is unique and invariant, while spatial separation corresponds to different references (foliations) to this structure rather than its duplication.Within this viewpoint, quantum entanglement is understood as a local readout of correlations already encoded in a shared causal structure, without invoking nonlocal influences or superluminal information transfer. This document is intended as a conceptual clarification and archival record rather than a proposal of a new theory.It is provided to preserve a logically consistent interpretation that may be of interest for future foundational discussions.

Eugene Paul Wigner

Horton, G, Christopher Dewdney

We demonstrate how to construct a lorentz-invariant, hidden-variable interpretation of relativistic quantum mechanics based on particle trajectories. The covariant theory that we propose employs a multi-time formalism and a lorentz-invariant rule for the coordination of the space-time points on the individual particle trajectories. In this way we show that there is no contradiction between nonlocality and lorentz invariance in quantum mechanics. The approach is illustrated for relativistic bosons, using a simple model to discuss the individual non-locally correlated particle motion which ensues when the wavefunction is entangled. A simple example of measurement is described.

Eugene Paul Wigner