Structured spaces and their application to relativistic physics

DOI10.1063/1.530988zbMath0845.58006OpenAlexW1974971912MaRDI QIDQ4873523

Wiesław Sasin, Michal P. Heller

Publication date: 20 May 1996

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.530988

zbMATH Keywords

torsiondifferential formscurvatureEinstein's equationsgeneral relativityexterior algebravector fieldsquantum theory of gravitylinear connectiontangent spacedifferential spacestructured spacespace-times with singularities

Mathematics Subject Classification ID

Space-time singularities, cosmic censorship, etc. (83C75) Differential forms in global analysis (58A10) Global differential geometry (53C99) General theory of differentiable manifolds (58A99) Differential spaces (58A40)

Related Items (23)

On Weil homomorphism in locally free sheaves over structured spaces ⋮ Carter–Penrose diagrams and differential spaces ⋮ Rigorous model of classical spacetime foam ⋮ Differential algebras with dense singularities on manifolds ⋮ Einstein algebras in a categorical context ⋮ Functorial differential spaces and the infinitesimal structure of space-time ⋮ Some algebraic aspects of the gluing of differential spaces ⋮ On Einstein algebras and relativistic spacetimes ⋮ Category-theoretic structure and radical ontic structural realism ⋮ On b-boundary in differential spaces category ⋮ Origin of classical singularities ⋮ Anatomy of malicious singularities ⋮ Conceptual unification of gravity and quanta ⋮ State vector reduction as a shadow of a noncommutative dynamics ⋮ Groupoid approach to noncommutative quantization of gravity ⋮ Space-time foam differential algebras of generalized functions and a global Cauchy-Kovalevskaia theorem ⋮ Fundamental problems in the unification of physics ⋮ On the singularities of Reissner-Nordström space-time ⋮ Finitary-algebraic `resolution' of the inner Schwarzschild singularity ⋮ Emergence of time ⋮ Noncommutative structure of singularities in general relativity ⋮ Quantum mechanical motion of relativistic particles in non-continuous spacetime ⋮ Geometry of non-Hausdorff spaces and its significance for physics

Cites Work

• Singular space-times
• Einstein algebras and general relativity
• On the b-boundary of the closed Friedman-model
• A new definition of singular points in general relativity
• Differential structure of space-time and its prolongations to singular boundaries
• The structure of the \(b\)-completion of space-time
• Noncontinuous Minkowskian spacetime
• The bundle boundary in some special cases

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