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IMPERIAL COLLEGE PRESS eBooks

The Principles of Newtonian and Quantum Mechanics

Maurice A. de Gosson, Basil J. Hiley

Published Jan 1, 2001• 25 citations
Publisher
DOI
10.1142/9781848161429

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The Principles of Newtonian and Quantum Mechanics

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Abstract Chapter 5 presents the constructive bias associated with Newtonian mechanics. Since Newtonian mechanics follows from QM (h goes to zero) and SR (c goes to infinity), which are both principle theories based on NPRF, we argue the constructive bias is ill-founded. In QM the constructive bias is reflected by Reichenbach’s Principle applied to the Bell state correlations, i.e., Bell state correlations should be explained causally. Zigzag or co-causation as an alternative associated with all-at-once retrocausality using colliders is introduced and dismissed using an analogy with SR.

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On the quantum nature of strong gravity

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Belenchia et al. [Phys. Rev. D 98, 126009 (2018)] have analyzed a gedankenexperiment where two observers, Alice and Bob, attempt to communicate via superluminal signals using a superposition of massive particles dressed by Newtonian fields and a test particle as field detector. Quantum fluctuations in the particle motion and in the field prevent signaling or violations of quantum mechanics in this setup. We reformulate this thought experiment by considering gravitational waves emitted by an extended quadrupolar object as a detector for Newtonian tidal fields. We find that quantum fluctuations in the gravitational waves prevent signaling. In the Newtonian limit, rotating black holes behave as extended quadrupolar objects, as consequence of the strong equivalence principle. It follows that consistency of the Newtonian limit of general relativity with quantum mechanics requires the quantization of gravitational radiation, even when the waves originate in strong gravity sources.

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A judgment experimental design about the basic principles of Newtonian mechanics and the second law of thermodynamics

Li Weigang

This paper describes an experimental design similar to “Maxwell’s demon”. Compared with the “Maxwell's demon” scheme, the proposed experiment does not need intelligence that is necessary for “Maxwell’ demon” when working. Moreover, the program is not an ideal experiment only performed in thought. It can be implemented realistically. The design fully follows the basic principles of Newtonian mechanics but contradicts the second law of thermodynamics. The experimental design suggests that there is a logical contradiction between the basic principles of Newtonian mechanics and the second law of thermodynamics.

•Aug 1, 2014•0 citations
Abstract Chapter 5 presents the constructive bias associated with Newtonian mechanics. Since Newtonian mechanics follows from QM (h goes to zero) and SR (c goes to infinity), which are both principle theories based on NPRF, we argue the constructive bias is ill-founded. In QM the constructive bias is reflected by Reichenbach’s Principle applied to the Bell state correlations, i.e., Bell state correlations should be explained causally. Zigzag or co-causation as an alternative associated with all-at-once retrocausality using colliders is introduced and dismissed using an analogy with SR.
Belenchia et al. [Phys. Rev. D 98, 126009 (2018)] have analyzed a gedankenexperiment where two observers, Alice and Bob, attempt to communicate via superluminal signals using a superposition of massive particles dressed by Newtonian fields and a test particle as field detector. Quantum fluctuations in the particle motion and in the field prevent signaling or violations of quantum mechanics in this setup. We reformulate this thought experiment by considering gravitational waves emitted by an extended quadrupolar object as a detector for Newtonian tidal fields. We find that quantum fluctuations in the gravitational waves prevent signaling. In the Newtonian limit, rotating black holes behave as extended quadrupolar objects, as consequence of the strong equivalence principle. It follows that consistency of the Newtonian limit of general relativity with quantum mechanics requires the quantization of gravitational radiation, even when the waves originate in strong gravity sources.
This paper describes an experimental design similar to “Maxwell’s demon”. Compared with the “Maxwell's demon” scheme, the proposed experiment does not need intelligence that is necessary for “Maxwell’ demon” when working. Moreover, the program is not an ideal experiment only performed in thought. It can be implemented realistically. The design fully follows the basic principles of Newtonian mechanics but contradicts the second law of thermodynamics. The experimental design suggests that there is a logical contradiction between the basic principles of Newtonian mechanics and the second law of thermodynamics.