arXiv subjects
Publications and source records attributed to Alexander K. Guts.
In the article the possibility of creating a time machine, based on the mechanism of quantum entanglement of macroscopic ordinary (many)partial configurations and (many) partially ghostly configurations of different historical epochs belonging to different parallel Everett universes is investigated
The new quantum principle of a time machine that is not using a smooth timelike loops in Lorentz manifolds is described. The proposed time machine is based on the destruction of interference of quantum superposition states in the Wheeler superspace.
To find the possible equilibrium states of forest ecosystems one are suggested to use the theory of differential games. At within the 4-tier model of mosaic forest communities it established the existence of the Nash equilibrium states in such ecosystems
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-Kock Synthetic Differential Geometry and topos models for smooth infinitesimal analysis are used. Physical properties of multi-variant and many-dimensional parallel universes are discussed. Quantum fluctuations of universe geometry are considered. Photon ghosts in parallel universes are found.
We introduce two time: deterministic Newton time-stream t and stochastic time-epoch $τ$. The relation of uncertainty for time-epoch of physical events $ΔτΔD \geq c_1,\eqno(*)$ where $c_1=const$, is proved. The function $D(t)= - c_1\frac{d}{dt}\ln f_τ(t),$ characterizes {\it velocity of disorganization} of the event-phenomena; $f_τ(t)$ is density of probability of time-epoch $τ$. The relation (*) is verified not by means of experiment that is traditional for physics, but with the help of the reference to datas of historical science.
We consider five-dimensional cylindric spacetime $V^5$ with foliation of codimension ~1. The leaves of this foliation are four-dimensional "parallel" universes. The metric of five-dimensional spacetime and induced metrics of four-dimensional universes are flat. The "large" fluctuations of the 5-metric are studied. These fluctuations depend only on the coordinate $x^0$, and under these fluctuations the curvature of $V^5$ is not zero. The contribution of the fluctuations in the Feynman path integral over five-dimensional trajectories doesn't change the amplitude of the probability of the real physical four-dimensional universe. Moreover the large fluctuations of 5-metric $G_{AB}$ are large fluctuations for physical four-dimensional universe $V^4$ and change signature of $V^4$. The change of the signature from $<+--->$ to $<---->$ and inversely occurs in the all 3-dimensional space simultaneously (in absolute time) and can take arbitrarily large period of time.
We constructed a model of five-dimensional Lorentz manifold with foliation of codimension 1 the leaves of which are four-dimensional space-times. The Past of these space-times can interact in macroscopic scale by means of large quantum fluctuations. Hence, it is possible that our Human History consists of "somebody else's" (alien) events.
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 be successfully developed within the framework of Synthetic Differential Geometry of Kock-Lawvere (SDG), the models of which are serving the toposes, i.e. categories possessing many characteristics of traditional Theory of Sets. In the article by using ideas SDG, non-classical spherically symmetric solution of the vacuum Einstein equations is given.
Can the Past be restored? Poincaré and Costa de Beauregard showed that the past is not restored statistically. This follows from Bayes formula. In given note two new Principles are postulated which forbid the restoration of the Past.