4 papers
Topos-theoretic Model of the Deutsch multiverse
Alexander K. Guts
The Deutsch multiverse is collection of parallel universes. In this article a formal theory and a topos-theoretic model of the Deutsch multiverse are given. For this the Lawvere-Ko…
Relation of uncertainty for time
Alexander K. Guts
We introduce two time: deterministic Newton time-stream t and stochastic time-epoch . The relation of uncertainty for time-epoch of physical events $ΔτΔD \geq c_1,\eqno(*)$ wher…
Solution of the vacuum Einstein equations in Synthetic Differential Geometry of Kock-Lawvere
Alexander K. Guts, Artem A. Zvyagintsev
The topos theory is a theory which is used for deciding a number of problems of theory of relativity, gravitation and quantum physics. It is known that topos-theoretic geometry can…
Toposes in General Theory of Relativity
Alexandr K. Guts, Egor B. Grinkevich
We study in this paper different topos-theoretical approaches to the problem of construction of General Theory of Relativity. In general case the resulting space-time theory will b…