The Relativity Principle at the Foundation of Quantum Mechanics

• URL: http://arxiv.org/abs/2107.06942v3
• Date: Wed, 22 Dec 2021 21:35:49 GMT
• Title: The Relativity Principle at the Foundation of Quantum Mechanics
• Authors: W.M. Stuckey, Timothy McDevitt, and Michael Silberstein
• Abstract summary: We show how one principle, Information Invariance & Continuity, at the foundation of axiomatic reconstructions maps to "no preferred reference frame" This is in exact analogy to the relativity principle as it pertains to the invariant measurement of Planck's constant h for Stern-Gerlach (SG) spin measurements.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum information theorists have created axiomatic reconstructions of quantum mechanics (QM) that are very successful at identifying precisely what distinguishes quantum probability theory from classical and more general probability theories in terms of information-theoretic principles. Herein, we show how one such principle, Information Invariance & Continuity, at the foundation of those axiomatic reconstructions maps to "no preferred reference frame" (NPRF, aka "the relativity principle") as it pertains to the invariant measurement of Planck's constant h for Stern-Gerlach (SG) spin measurements. This is in exact analogy to the relativity principle as it pertains to the invariant measurement of the speed of light c at the foundation of special relativity (SR). Essentially, quantum information theorists have extended Einstein's use of NPRF from the boost invariance of measurements of c to include the SO(3) invariance of measurements of h between different reference frames of mutually complementary spin measurements via the principle of Information Invariance & Continuity. Consequently, the "mystery" of the Bell states that is responsible for the Tsirelson bound and the exclusion of the no-signalling, "superquantum" Popescu-Rohrlich joint probabilities is understood to result from conservation per Information Invariance & Continuity between different reference frames of mutually complementary qubit measurements, and this maps to conservation per NPRF in spacetime. If one falsely conflates the relativity principle with the classical theory of SR, then it may seem impossible that the relativity principle resides at the foundation of non-relativisitic QM. In fact, there is nothing inherently classical or quantum about NPRF. Thus, the axiomatic reconstructions of QM have succeeded in producing a principle account of QM that reveals as much about Nature as the postulates of SR.

Related papers

• Completing the Quantum Reconstruction Program via the Relativity Principle [0.0]
  We explain how the disparate kinematics of quantum mechanics can both be based on one principle. This is made possible by the axiomatic reconstruction of QM via information-theoretic principles.
  arXiv  Detail & Related papers  (2024-04-12T13:27:25Z)
• Relational Quantum Mechanics, Quantum Relativism, and the Iteration of Relativity [0.0]
  The idea that the dynamical properties of quantum systems are invariably relative to other systems has recently regained currency. Are there absolute facts about the properties one system possesses relative to a specified reference, or is this again a relative matter, and so on? I conclude with some reflections on the current state of play in perspectivist versions of RQM and quantum relativism more generally.
  arXiv  Detail & Related papers  (2024-03-06T21:48:41Z)
• Quantum Principle of Relativity and The Renormalizable Quantum Gravity [3.4447129363520337]
  We develop a purely quantum theory based on the novel principle of relativity, termed the quantum principle of relativity. We demonstrate that the essence of the principle of relativity can be naturally extended into the quantum realm, maintaining the identical structures of active and passive transformations.
  arXiv  Detail & Related papers  (2023-12-04T10:49:56Z)
• Measurement and Probability in Relativistic Quantum Mechanics [0.0]
  This paper provides a relativistic model of measurement, in which the state of the universe is decomposed into decoherent histories of measurements recorded within it. The wave functions that we actually use for such experiments are local reductions of very coarse-grained superpositions of universal eigenstates.
  arXiv  Detail & Related papers  (2022-09-26T04:21:52Z)
• Quantum Instability [30.674987397533997]
  We show how a time-independent, finite-dimensional quantum system can give rise to a linear instability corresponding to that in the classical system. An unstable quantum system has a richer spectrum and a much longer recurrence time than a stable quantum system.
  arXiv  Detail & Related papers  (2022-08-05T19:53:46Z)
• Semi-classical gravity phenomenology under the causal-conditional quantum measurement prescription [9.842140146649346]
  We study experimentally measurable signatures of SN theory under the causal-conditional prescription in an optomechanical system. We find that quantum measurement can induce a classical correlation between two different optical fields via classical gravity.
  arXiv  Detail & Related papers  (2022-07-13T05:09:55Z)
• Quantum Mechanics as a Theory of Incompatible Symmetries [77.34726150561087]
  We show how classical probability theory can be extended to include any system with incompatible variables. We show that any probabilistic system (classical or quantal) that possesses incompatible variables will show not only uncertainty, but also interference in its probability patterns.
  arXiv  Detail & Related papers  (2022-05-31T16:04:59Z)
• Quantum dynamics corresponding to chaotic BKL scenario [62.997667081978825]
  Quantization smears the gravitational singularity avoiding its localization in the configuration space. Results suggest that the generic singularity of general relativity can be avoided at quantum level.
  arXiv  Detail & Related papers  (2022-04-24T13:32:45Z)
• Quasiprobability fluctuation theorem behind the spread of quantum information [10.640597124563614]
  We theoretically uncover the quantum fluctuation theorem behind the informational inequality. The fluctuation theorem quantitatively predicts the statistics of the underlying quantum process. We experimentally apply an interference-based method to measure the amplitudes composing the quasiprobability.
  arXiv  Detail & Related papers  (2022-01-02T17:45:50Z)
• Quantum superposition of spacetimes obeys Einstein's Equivalence Principle [0.0]
  We argue that the Equivalence Principle can be generalised so that it holds for reference frames associated to quantum systems in a superposition of spacetimes. This procedure reconciles the principle of linear superposition in Quantum Theory with the principle of general covariance and the Equivalence Principle of General Relativity.
  arXiv  Detail & Related papers  (2021-09-03T09:51:18Z)
• Quantum Causal Inference in the Presence of Hidden Common Causes: an Entropic Approach [34.77250498401055]
  We put forth a new theoretical framework for merging quantum information science and causal inference by exploiting entropic principles. We apply our proposed framework to an experimentally relevant scenario of identifying message senders on quantum noisy links. This approach can lay the foundations of identifying originators of malicious activity on future multi-node quantum networks.
  arXiv  Detail & Related papers  (2021-04-24T22:45:50Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.