Bennett, A. F.
Published in
Foundations of Physics

The spin-statistics connection has been proved for nonrelativistic quantum mechanics (Jabs in Found Phys 40:776–792, 2010). The proof is extended here to the relativistic regime using the parametrized Dirac equation. A causality condition is not required.

Kay, Bernard S.
Published in
Foundations of Physics

I outline some of my work and results (some dating back to 1998, some more recent) on my matter-gravity entanglement hypothesis, according to which the entropy of a closed quantum gravitational system is equal to the system’s matter-gravity entanglement entropy. The main arguments presented are: (1) that this hypothesis is capable of resolving what...

Kandhadai, Adithya Valentini, Antony
Published in
Foundations of Physics

We investigate whether small perturbations can cause relaxation to quantum equilibrium over very long timescales. We consider in particular a two-dimensional harmonic oscillator, which can serve as a model of a field mode on expanding space. We assume an initial wave function with small perturbations to the ground state. We present evidence that th...

Knoll, Yehonatan
Published in
Foundations of Physics

It is shown that quantum mechanics is a plausible statistical description of an ontology described by classical electrodynamics. The reason that no contradiction arises with various no-go theorems regarding the compatibility of QM with a classical ontology, can be traced to the fact that classical electrodynamics of interacting particles has never ...

Wright, Victoria J. Weigert, Stefan
Published in
Foundations of Physics

Gleason-type theorems derive the density operator and the Born rule formalism of quantum theory from the measurement postulate, by considering additive functions which assign probabilities to measurement outcomes. Additivity is also the defining property of solutions to Cauchy’s functional equation. This observation suggests an alternative proof of...

Sutherland, Roderick I.
Published in
Foundations of Physics

A Lagrangian description is presented which can be used in conjunction with particle interpretations of quantum mechanics. A special example of such an interpretation is the well-known Bohm model. The Lagrangian density introduced here also contains a potential for guiding the particle. The advantages of this description are that the field equation...

Kujala, Janne V. Dzhafarov, Ehtibar N.
Published in
Foundations of Physics

We present a proof for a conjecture previously formulated by Dzhafarov et al. (Found Phys 7:762–782, 2015). The conjecture specifies a measure for the degree of contextuality and a criterion (necessary and sufficient condition) for contextuality in a broad class of quantum systems. This class includes Leggett–Garg, EPR/Bell, and Klyachko–Can–Binici...

Atkinson, David Johnson, Porter
Published in
Foundations of Physics

An infinite number of elastically colliding balls is considered in a classical, and then in a relativistic setting. Energy and momentum are not necessarily conserved globally, even though each collision does separately conserve them. This result holds in particular when the total mass of all the balls is finite, and even when the spatial extent and...

Atkinson, David Johnson, Porter
Published in
Foundations of Physics

An actual infinity of colliding balls can be in a configuration in which the laws of mechanics lead to logical inconsistency. It is argued that one should therefore limit the domain of these laws to a finite, or only a potentially infinite number of elements. With this restriction indeterminism, energy nonconservation and creatio ex nihilo no longe...

Smolin, Lee
Published in
Foundations of Physics

A proposal is made for a fundamental theory, in which the history of the universe is constituted of diverse views of itself. Views are attributes of events, and the theory’s only be-ables; they comprise information about energy and momentum transferred to an event from its causal past. A dynamics is proposed for a universe constituted of views of e...