2010/12/16 by Plamen Fiziev, Fiziev, Plamen · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Algebraic and Geometric Analysis #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Mechanics and Applications #gr-qc #hep-th #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.1012.3520
latex file, 5 pages, 1 figure
arxiv created 2010/12/16 · openalex publication_date 2010/12/16 · arxiv updated 2010/12/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This rather technical paper presents some generalization of the results of recent publications \citeShirkov2010, DVPF2010, PFDV2010 where toy models of dimensional reduction of space-time were considered. Here we introduce and consider a specific type of multidimensional space-times with nontrivial topology and nontrivial Riemannian metric, which admit a reduction of the dimension d of the space to any lower one dlow = 1, 2,..., d-1. The variable geometry is described by several variable radii of compactification of part of space dimensions. We succeed once more in transforming the shape of the variable geometry of the d-dimensional spaces under consideration to a specific potential interaction, described by the potential V in the one-dimensional Schrödinger-like equation. This way one may hope to study the possible physical signals going from both higher and lower dimensions into our obviously four dimensional real world.