A Commemorative Special Issue in Honor of Prof. Carl H. Brans: At the Frontier of Spacetime

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Mathematical Physics".

Deadline for manuscript submissions: 31 July 2024 | Viewed by 48

Special Issue Editors

Institute of Physics, University of Silesia, PL-40007 Katowice, Poland
Interests: general relativity; category theory; curvature; synthetic differential geometry; infinitesimal formal manifold; space-time singularity
German Aerospace Center (DLR), 10178 Berlin, Germany
Interests: quantum gravity; differential topology of spacetime; cosmology; dark energy and matter; foundation of quantum field theory; quantum geometry
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

The presence of exotic differential structures on differential manifolds was first discovered in the middle of the 20th century for five-dimensional and higher manifolds. In the 1980s, there was a real breakthrough in four-dimensional manifolds using gauge-theory methods inspired by theoretical physics. With these methods, it was possible to infinitely construct many exotic smoothness structures on many four-dimensional manifolds. Among the many surprising innovations was the confirmation that the seemingly trivial space R4 had an infinite number of manifolds. Carl Brans was the first to point to the importance of this fact in theoretical physics, in particular with regard to general relativity. The Brans conjecture became a driving force in this topic for many years.

The primary goal of this Special Issue is to commemorate the outstanding mathematical physicist Carl Brans; discuss the importance of the existence of exotic differential structures for modelling the physical world; and address the general interplay between mathematics and physics.

We encourage scientists active in this field, as well as historians and philosophers of science, to present their findings and opinions regarding the influence of the development of physics on mathematics, as well as other issues related to the subject of this Special Issue.

Prof. Dr. Jan Sładkowski
Dr. Jerzy Król
Dr. Torsten Asselmeyer-Maluga
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. Mathematics is an international peer-reviewed open access semimonthly 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.


  • exotic smoothness
  • gravity
  • quantum theory
  • fundamental interactions
  • cosmology

Published Papers

This special issue is now open for submission.
Back to TopTop