Multi-field and Bohm’s theory

Romano, Davide

doi:10.1007/s11229-020-02737-6

Cited by 15 publications

(7 citation statements)

References 27 publications

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“…A state of this kind is, for example, the stationary wave function, solution of an infinite potential well. This counter-example was originally proposed by Einstein (1953) to show that quantum mechanics 16 did not lead to the correct classical limit in the expected regime, i.e. the high energy/high frequency regime.…”

Section: Bohm's Theorymentioning

confidence: 86%

“…6). 16 And Bohm's theory, briefly discussed by Einstein in the original article 17 According to Einstein, those conditions characterized completely the classical limit. The importance of the entanglement with the environment and the resulting decoherence process was not known at that time: the first important works on decoherence were published only some decades later.…”

Section: Bohm's Theorymentioning

confidence: 99%

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A Decoherence-Based Approach to the Classical Limit in Bohm’s Theory

Romano

2023

Found Phys

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Article published in the special issue edited by A. Drezet: Pilot-wave and beyond: Louis de Broglie and David Bohm's quest for a quantum ontology, Foundations of Physics.The paper explains why the de Broglie-Bohm theory reduces to Newtonian mechanics in the macroscopic classical limit. The quantum-to-classical transition is based on three steps: (i) interaction with the environment produces effectively factorized states, leading to the formation of effective wave functions and hence decoherence; (ii) the effective wave functions selected by the environment-the pointer states of decoherence theory-will be well-localized wave packets, typically Gaussian states; (iii) the quantum potential of a Gaussian state becomes negligible under standard classicality conditions; therefore, the effective wave function will move according to Newtonian mechanics in the correct classical limit. As a result, a Bohmian system in interaction with the environment will be described by an effective Gaussian state and-when the system is macroscopic-it will move according to Newtonian mechanics.

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Section: Bohm's Theorymentioning

confidence: 86%

Section: Bohm's Theorymentioning

confidence: 99%

A Decoherence-Based Approach to the Classical Limit in Bohm’s Theory

Romano

2023

Found Phys

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“…Example of theories or interpretations that construe the wave-function as -complete and -physical are wave-function realism [47], probably the Copenhagen interpretation, and different versions of the manyworlds interpretation [16]. Examples of -supplemented and -physical are the multi-field interpretation within the de Broglie-Bohm theory [38,52], space-time state realism in the many-worlds theory [58], the many-worlds theory with matter density [3], and the original version of Albert's marvelous point interpretation [1]. Examples of theories or interpretations with a -supplemented and -nomological wave-function would be Humean interpretations of the de Broglie-Bohm theory (also called Bohumianism, [12,14,20,25,26,46]), the dispositional interpretation of the wave-function in the de Broglie-Bohm theory [25,26,56], the wave-function as a nomological entity in the de Broglie-Bohm theory [32], wave-functionalism [2], a Humean version of Albert's marvelous point interpretation [42], and the GRW theory with a flash or matter ontology [22,23,43].…”

Section: How Ontological Are ã -Ontic Wave-functions?mentioning

confidence: 99%

Is the Statistical Interpretation of Quantum Mechanics ψ-Ontic or ψ-Epistemic?

Hubert

2022

Found Phys

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The ontological models framework distinguishes ψ-ontic from ψ-epistemic wave-functions. It is, in general, quite straightforward to categorize the wave-function of a certain quantum theory. Nevertheless, there has been a debate about the ontological status of the wave-function in the statistical interpretation of quantum mechanics: is it ψ-epistemic and incomplete or ψ-ontic and complete? I will argue that the wave-function in this interpretation is best regarded as ψ-ontic and incomplete.

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“…5 (Carroll & Singh, 2018); (Vaidman, 2021a). 6 (Belot, 2012); (Hubert & Romano, 2018); (Norsen et al, 2015); (Romano, 2020). 7 The analysis does not address nomological or epistemological approaches to quantum mechanics.…”

Section: Introductionmentioning

confidence: 99%

Quantum Cosmology: The Integration of Special Relativity and Quantum Mechanics - Part 1

Kahan

2024

Preprint

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Quantum Cosmology:The Integration of Special Relativity and Quantum Mechanics* Part IAbstract“For me then this is the real problem with quantum theory: the apparently essential conflict between any sharp formulation and fundamental relativity. That is to say, we have an apparent incompatibility, at the deepest level, between the two fundamental pillars of contemporary theory...” J. S. Bell (2004, p. 171)The inability to delineate a unified physical ontology that accounts simultaneously for the laws of special relativity and the results of quantum experiments has been a defining problem in physics for more than 100 years. Although various primitive ontologies (including Bohmian pilot wave, spontaneous collapse, and objective collapse theories) along with wave function realism ontologies, many-worlds interpretations, and multi-field theories address the tension between special relativity and quantum mechanics, none has successfully resolved it. This analysis addresses the problem by positing an ontic, mixed ontology composed of a “discrete” 4D spacetime and a physical, ultra-high dimensional (3 x N) “Planck Space.” Together, Planck Space and the three spatial dimensions of 4D spacetime form a tightly integrated ((3 x N) + 3) hyperspace (the “Dual Ontology”). 4D spacetime’s three spatial dimensions and the N dimensions of Planck Space are composed of two substructures: discrete, three-dimensional, quantized units of space ("Planck Spheres") and an ontic State of Absolute Nothingness (the "SOAN") whose sole physical characteristic is onticness.Critically, the Dual Ontology’s structure replaces 1) the continuous, differentiable manifold of 4D spacetime with a discrete 4D spacetime and 2) mathematical 3N configuration spaces with a physical (3 x N) Planck Space. Moreover, structurally and dynamically, the Dual Ontology is predicated on the one-to-one mapping and identity between the Planck Spheres that simultaneously form 4D spacetime and Planck Space. The one-to-one mapping and identity physically and theoretically support an integrated quantum dynamics based upon the dynamic evolution of single and N-body quantum states in 4D spacetime in full compliance with the laws of special relativity and the instantaneous collapse of all quantum states in an ontic Planck Space, where special and general relativity and more generally, 4D spacetime’s laws of physics, do not apply. ______________________*Dennis A. Kahan: dkahan@alumni.ucla.edu

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Multi-field and Bohm’s theory

Cited by 15 publications

References 27 publications

A Decoherence-Based Approach to the Classical Limit in Bohm’s Theory

A Decoherence-Based Approach to the Classical Limit in Bohm’s Theory

Is the Statistical Interpretation of Quantum Mechanics ψ-Ontic or ψ-Epistemic?

Quantum Cosmology: The Integration of Special Relativity and Quantum Mechanics - Part 1

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