de Ronde, Christian and Fernández Mouján, Raimundo and Massri, Cesar (2024) Tensorial Quantum Mechanics: Back to Heisenberg and Beyond. [Preprint]
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Abstract
In this work we discuss the establishment of Standard Quantum Mechanics (SQM) developed through Schro ̈dinger’s and Dirac’s wave-vectorial reformulations of Heisenberg’s original matrix mechanics. We will argue that while Heisenberg’s approach was consistently developed —taking as a standpoint the intensive patterns that were observed in the lab— as an invariant-operational formalism, Dirac’s axiomatic re-formulation was, instead, developed —taking as a standpoint Schro ̈dinger’s wave mechanics and the methodological guide of Bohr and logical positivists— as an essentially inconsistent “recipe” intended (but unable) to predict (binary) measurement outcomes. Leaving SQM behind and attempting to restore the consistent and coherent account of a real state of affairs, we will present a new tensorial proposal which —taking as a standpoint Heisenberg’ original approach— will prove capable not only to extend the matrix formalism to a tensorial representation but also to account for new experimental phenomena.
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| Item Type: | Preprint | ||||||||||||
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| Keywords: | matrix mechanics, tensors, quantum mechanics, realism. | ||||||||||||
| Subjects: | Specific Sciences > Physics > Quantum Mechanics General Issues > Realism/Anti-realism General Issues > Theory/Observation |
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| Depositing User: | Christian de Ronde | ||||||||||||
| Date Deposited: | 22 Oct 2024 12:04 | ||||||||||||
| Last Modified: | 22 Oct 2024 12:04 | ||||||||||||
| Item ID: | 24093 | ||||||||||||
| Subjects: | Specific Sciences > Physics > Quantum Mechanics General Issues > Realism/Anti-realism General Issues > Theory/Observation |
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| Date: | October 2024 | ||||||||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/24093 |
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