Interpretation of intuitionistic solution of the vacuum Einstein equations in smooth topos

Abstract

The topos theory is a theory which is used for deciding a number of problems of theory of relativity, gravitation and quantum physics. In the article spherically symmetric solution of the vacuum Einstein equations in the Intuitionistic theory of Gravitation at different stages of smooth topos ${\mathbf{Set}}^{{\mathbf{L}}_{\mathbf{op}}}$ is considered. Infinitesimal "weak" gravitational field can be strong at some stagies, for which we have the additional dimensions. For example, the cosmological constant is not constant with respect to additional dimensions. Signature of space-time metric can depend of density of vacuum and cosmological constant.

arXiv comment9 pages, LaTeX2e

References in corpus (4)

• Topos Theory and Consistent Histories: The Internal Logic of the Set of all Consistent Sets
• Toposes in General Theory of Relativity
• Synthetic Differential Geometry: A Way to Intuitionistic Models of General Relativity in Toposes
• Solution of the vacuum Einstein equations in Synthetic Differential Geometry of Kock-Lawvere

Cited by in corpus (2)

• Topos-theoretic Model of the Deutsch multiverse
• The theory of Multiverse, multiplicity of physical objects and physical constants