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Introducing Relativity in Quantum Mechanics

Luis Grave de Peralta, Maricela Fernández Lozada, Hira Farooq +3 more

Undergraduate lecture notes in physicsJan 1, 20230 citations

An Attempt to Understand Relational Quantum Mechanics

PEKKA J. LAHTI, Juha-Pekka Pellonpää

Abstract We search for a possible mathematical formulation of some of the key ideas of the relational interpretation of quantum mechanics and study their consequences. We also briefly overview some proposals of relational quantum mechanics for an axiomatic reconstruction of the Hilbert space formulation of quantum mechanics.

arXiv:2207.01380International Journal of Theoretical PhysicsAug 3, 20232 citations

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

Shan Gao

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.

Sep 1, 20130 citations

Relativity and quantum mechanics

Institute of Physics eBooksNov 26, 200422 citations

1 Theory of Local Times

Hitoshi Kitada

Summary. — A model of a stationary universe is proposed. In this framework, time is defined as a local and quantum-mechanical notion in the sense that it is defined for each local and quantum-mechanical system consisting of finite number of particles. The total universe consisting of infinite number of particles has no time associated. It is a stationary bound state of the total Hamiltonian of infinite degrees of freedom. The quantum mechanics and the theory of general relativity are consistently united in this context if one uses this notion of local and quantum-mechanical time. As one of the consequences, the Einstein-Podolsky-Rosen paradox is resolved. The Hubble red-shift is explained as a consequence of general relativity which is consistent with quantum mechanics. This does not require us to argue on the beginning nor the end of the universe. The universe just exists without time. PACS O3.65.Bz- Foundations, theory of measurement, miscellaneous theories. 1. – Introduction. As stated in the abstract, the main theme of the paper is to present one possible consistent unification of quantum mechanics and general relativity. This is stated intentionallySummary. — A model of a stationary universe is proposed. In this framework, time is defined as a local and quantum-mechanical notion in the sense that it is defined for each local and quantum-mechanical system consisting of finite number of particles. The total universe consisting of infinite number of particles has no time associated. It is a stationary bound state of the total Hamiltonian of infinite degrees of freedom. The quantum mechanics and the theory of general relativity are consistently united in this context if one uses this notion of local and quantum-mechanical time. As one of the consequences, the Einstein-Podolsky-Rosen paradox is resolved. The Hubble red-shift is explained as a consequence of general relativity which is consistent with quantum mechanics. This does not require us to argue on the beginning nor the end of the universe. The universe just exists without time. PACS O3.65.Bz- Foundations, theory of measurement, miscellaneous theories. 1. – Introduction. As stated in the abstract, the main theme of the paper is to present one possible consistent unification of quantum mechanics and general relativity. This is stated intentionally

Jan 1, 199416 citations

RELATIVITY AND QUANTUM MECHANICS

James Tan

Jan 1, 20260 citations

Some Consequences of Relativity for Quantum Mechanics

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