If we take seriously literal interpretations of quantum theory and general relativity then the question posed in the title is no. This article highlights where incompatibilities arise by considering our experience in the context of modern physics. Implied nonmaterial minds possess a property that no physical entity does-localisation in the configur...
status: published
In 1996 Burago and Zalgaller showed the following theorem: Theorem (Burago and Zalgaller): Let S be a polyhedral surface, then S admits an isometric PL embedding in E3. This theorem shows in particular that the Flat Square Torus admits an isometric PL embedding in E3. In 1997 Zalgaller constructs such an embedding of Flat Rectangular Torii into E3....
We provide homological interpretations for some quantum invariants. We recall basic notions involved in this work: topological ones on one hand (braids, mapping class groups, and homological representations of the latter) and algebaic ones on the other hand (Hopf algebra, quantum groups, categories of modules, braiding). Then, we study "small cases...
Published in Applicable Algebra in Engineering, Communication and Computing
Let K be an arbitrary semi-cubical set that can be embedded in a standard cube. Using Discrete Morse Theory, we construct a CW-complex that is homotopy equivalent to the space P→(K)vw\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackag...
Published in Chinese Annals of Mathematics, Series B
Let X be a topological space. In this survey the authors consider several types of configuration spaces, namely, the classical (usual) configuration spaces Fn(X) and Dn(X), the orbit configuration spaces FGn (X) and FGn (X)/Sn with respect to a free action of a group G on X, and the graph configuration spaces FГn (X) and FГn (X)/H, where Г is a gra...
Published in Arnold Mathematical Journal
We describe and study an explicit structure of a regular cell complex K(L)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal {K}(L)$$\end{document} on the moduli ...
Maxim Kontsevich a défini un invariant $Z$ des sphères d'homologie rationnelle orientées de dimension $3$ en 1992, en poursuivant l'étude initiée par Edward Witten du développement perturbatif de la théorie de Chern-Simons.L'invariant $Z$ de Kontsevich est gradué. Il s'écrit $Z=(Z_n)_{nin NN }$, où $Z_n$ prend ses valeurs dans un espace $CA_n$ enge...
Published in Foundations of Physics
Recently, for spinless non-relativistic particles, Norsen (Found Phys 40:1858–1884, 2010) and Norsen et al. (Synthese 192:3125–3151, 2015) show that in the de Broglie–Bohm interpretation it is possible to replace the wave function in the configuration space by single-particle wave functions in physical space. In this paper, we show that this replac...
