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Space-time, relativity and quantum mechanics: In search of a deeper connection

Gao, Shan (2013) Space-time, relativity and quantum mechanics: In search of a deeper connection. [Preprint]

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Abstract

It has been shown that the Lorentz transformations in special relativity can be derived in terms of the principle of relativity and certain properties of space and time such as homogeneity. In this paper, we argue that the free Schrodinger equation in quantum mechanics may also be regarded as a consequence of the homogeneity of space and time and the principle of relativity when assuming linearity of time evolution.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Gao, Shansgao7319@uni.sydney.edu.au
Keywords: spacetime translation invariance, relativistic invariance, linear quantum evolution, free Schrodinger equation
Subjects: General Issues > Laws of Nature
Specific Sciences > Physics > Quantum Mechanics
Specific Sciences > Physics > Relativity Theory
Specific Sciences > Physics > Symmetries/Invariances
Depositing User: Mr. Shan Gao
Date Deposited: 01 Sep 2013 14:15
Last Modified: 01 Sep 2013 14:15
Item ID: 9969
Subjects: General Issues > Laws of Nature
Specific Sciences > Physics > Quantum Mechanics
Specific Sciences > Physics > Relativity Theory
Specific Sciences > Physics > Symmetries/Invariances
Date: 1 September 2013
URI: http://philsci-archive.pitt.edu/id/eprint/9969

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