A Relativistic Pseudo-Unitary Version of Schwinger's Quantum Mechanical Symbolism of Atomic Measurements

• URL: http://arxiv.org/abs/2505.06559v2
• Date: Tue, 13 May 2025 09:14:02 GMT
• Title: A Relativistic Pseudo-Unitary Version of Schwinger's Quantum Mechanical Symbolism of Atomic Measurements
• Authors: J. G. Cardoso,
• Abstract summary: The measurement processes that are traditionally described within the realm of non-relativistic quantum mechanics are transcribed into the covariant framework of Cartan's space.<n>It appears that the work may supply an elementary theoretical background to the construction of relativistic quantum computational gates.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The measurement processes that are traditionally described within the realm of non-relativistic quantum mechanics are transcribed into the covariant framework of Cartan's space, the four-valued representation space of the restricted conformal group for special relativity. It is assumed that the non-relativistic quantum measurement mechanisms of state reductions as well as the definition of Born probabilities should remain unaltered when the passage to the covariant framework is worked out. The correlations between observations registered in different spacetime frames, concerning intermediate steps and outcomes of microscopic measurements, are attained through the implementation of the orthochronous proper Poincar\'e subgroup of an appropriate realization of SU(2,2). It appears that the work may supply an elementary theoretical background to the construction of relativistic quantum computational gates.

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