Juan Pablo, Jorge and Holik, Federico (2020) Non-deterministic semantics for quantum states. Entropy. ISSN 1099-4300

Preview

Text Non-Deterministic-ArXiv.pdf - Accepted Version Download (404kB) | Preview

Abstract

In this work, we discuss the failure of the principle of truth functionality in the quantum formalism. By exploiting this failure, we import the formalism of N-matrix theory and non-deterministic semantics to the foundations of quantum mechanics. This is done by describing quantum
states as particular valuations associated with infinite non-deterministic truth tables. This allows us to introduce a natural interpretation of quantum states in terms of a non-deterministic semantics. We also provide a similar construction for arbitrary probabilistic theories based in orthomodular lattices, allowing to study post-quantum models using logical techniques.

---

Export/Citation:

EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL

Social Networking:

Share |

---

Item Type:	Published Article or Volume
Creators:	Creators Email ORCID Juan Pablo, Jorge jorgejpablo@gmail.com Holik, Federico olentiev2@gmail.com 0000-0002-6776-5281
Keywords:	Kochen-Specker thoerem; quantum states; non-deterministic semantics; truth functionality
Subjects:	Specific Sciences > Physics > Quantum Mechanics
Depositing User:	Dr. Federico Holik
Date Deposited:	31 Jan 2020 04:48
Last Modified:	31 Jan 2020 04:48
Item ID:	16867
Journal or Publication Title:	Entropy
Publisher:	MDPI
Official URL:	https://www.mdpi.com/1099-4300/22/2/156
DOI or Unique Handle:	https://doi.org/10.3390/e22020156
Subjects:	Specific Sciences > Physics > Quantum Mechanics
Date:	27 January 2020
ISSN:	1099-4300
URI:	https://philsci-archive.pitt.edu/id/eprint/16867

Monthly Views for the past 3 years

Monthly Downloads for the past 3 years

Plum Analytics

Altmetric.com

Actions (login required)

View Item