Quantum Mereologies and Quantum Inspired Set Theories and Logics

Dear Colleagues,

Quantum mechanics has been a subject of intense debate regarding its interpretation since its inception. As we commemorate the 100th anniversary of quantum theory's birth and acknowledge significant advancements in quantum technologies, proclaiming 2025 as the International Year of Quantum Science and Technology, the interpretational challenges inherent in quantum physics remain as pressing as ever.

One of the central goals in the field of quantum foundations is the development of formal frameworks that accurately capture the unique characteristics of quantum entities. These features have served as the foundation for the creation of quantum-inspired mathematical frameworks and algebraic structures, including non-standard set theories such as Quasiset Theory and Quaset Theory, as well as a diverse family of quantum logics.

The development of a quantum mereology—a formal framework for describing the relationship between wholes and parts within quantum theory—presents a particularly challenging endeavor. This Special Issue aims to promote advances in the problem of treating quantum entities as collections and to further the development of a quantum mereology by examining both the formal and philosophical aspects of this problem.

Other formal frameworks inspired by the properties of quantum entities, such as non-standard set theories and quantum logics, also fall within the scope of this Special Issue.

Dr. Federico Holik
Prof. Juan Pablo Jorge
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Entropy is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.