p.s. 08-04-23

 P.S.1 07-04-23 17:48 Catched my attention today:

1) J. Acacio de Barros and Federico Holik, Indistinguishability and Negative Probabilities

Abstract

In this paper, we examined the connection between quantum systems’ indistinguishability and signed (or negative) probabilities. We do so by first introducing a measure-theoretic definition of signed probabilities inspired by research in quantum contextuality. We then argue that ontological indistinguishability leads to the no-signaling condition and negative probabilities.

Keywords: indistinguishability; quantum ontology; negative probabilities; signed measure; quasi-set theory; contextuality

2) Jerome R. Busemeyer & Peter D. Bruza

Quantum Models of Cognition and Decision

Cambridge University Press (2012)

Abstract

Much of our understanding of human thinking is based on probabilistic models. This innovative book by Jerome R. Busemeyer and Peter D. Bruza argues that, actually, the underlying mathematical structures from quantum theory provide a much better account of human thinking than traditional models. They introduce the foundations for modelling probabilistic-dynamic systems using two aspects of quantum theory. The first, 'contextuality', is a way to understand interference effects found with inferences and decisions under conditions of uncertainty. The second, 'quantum entanglement', allows cognitive phenomena to be modeled in non-reductionist ways. Employing these principles drawn from quantum theory allows us to view human cognition and decision in a totally new light. Introducing the basic principles in an easy-to-follow way, this book does not assume a physics background or a quantum brain and comes complete with a tutorial and fully worked-out applications in important areas of cognition and decision.

P.S.2. 08-04-23 8:34 "By chance" I remembered this morning Dimitri Chakalov with whom I used to have a number of exchanges in the past

"The Arrow of Spacetime

"The arrow of spacetime suggests non-trivial topology of spacetime by incorporating a Platonic atemporal phenomenon “outside” 4D spacetime, dubbed matrix (p. 4). The local properties of matter and fields are bundled with the global properties of the spacetime en bloc, following the rule ‘think globally act locally’. Hence the entire Universe is animated by the Unmoved Mover and the fifth force, and is modeled as a brain."

"The force of Life is the force of Time: The Fifth Force. It (not "He") springs from the Unmoved Mover (p. 5 in The Arrow of Spacetime) and empowers the arrow of causality, gravity, and the brain. "

"Let me start with the so-called Axiom of Absolute Set (AAS), which unites the new empty set with the new complemental universal set (Wolfram). It 2 is very important to stress that the new empty set and universal set pertain only to the Platonic World, which we assume (p. 1) to be an atemporal and pre-geometric substance resembling (but not identical to) the human mind."

P.S.2. 08-04-23 9:38

Plotinus

"A: Gravitons are really electrons within a time vacuum."

P.S.3. 08-04-23 11:04