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Revisiting the First Postulate of Quantum Mechanics: Invariance and Physically Reality

de Ronde, Christian and Massri, Cesar (2014) Revisiting the First Postulate of Quantum Mechanics: Invariance and Physically Reality. [Preprint]

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Abstract

In this paper we derive a theorem which proves that the physical interpretation implied by the first postulate of quantum mechanics (QM) is inconsistent with the orthodox formalism. In order to expose this inconsistency we will analyze how the concept of ‘physical system’ is built within classical theories through the notion of invariance and explain in what sense a vector in Hilbert space is not capable of fulfilling these same mathematical conditions. Through an analysis of the mathematical formalism we derive a No Dynamical Invariance (NDI) theorem which proves that, contrary to what is claimed in the first postulate, a vector in Hilbert space cannot be interpreted coherently as the state of a physical (quantum) system. We conclude the paper by analyzing the consequences of the NDI theorem with respect to several ongoing debates in QM.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
de Ronde, Christiancderonde@gmail.com
Massri, Cesar
Keywords: state, physical reality, invariance, quantum contextuality.
Subjects: Specific Sciences > Physics > Quantum Mechanics
Depositing User: Christian de Ronde
Date Deposited: 09 Dec 2014 15:09
Last Modified: 09 Dec 2014 15:09
Item ID: 11189
Subjects: Specific Sciences > Physics > Quantum Mechanics
Date: December 2014
URI: http://philsci-archive.pitt.edu/id/eprint/11189

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