The Principles of Newtonian and Quantum Mechanics

Maurice A. de Gosson, Basil J. Hiley

Maurice A. de Gosson, Basil J. Hiley

W. M. Stuckey, Michael Silberstein, Timothy J. McDevitt

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.

Maurice A. de Gosson

Felipe Sobrero, Luca Abrahão, Thiago Guerreiro

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.

D. Baye, M. Dufour, Benjamin Fuks E