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Causal structures in the four dimensional Euclidean space
Ivanhoe B. Pestov, Bijan Saha
It is shown that in the 4d Euclidean space there are two causal structures defined by the temporal field. One of them is well-known Minkowski spacetime. In this case the gravitatio…
Energy in Theory of Gravity and Essence of Time
Ivanhoe B. Pestov
In the framework of the field theory it is shown that a time (viewed as a scalar temporal field) is an internal property of the physical system, which defines its causal structure…
Dark Matter and Potential fields
Ivanhoe Pestov
A general concept of potential field is introduced. The potential field that one puts in correspondence with dark matter, has fundamental geometrical interpretation (parallel trans…
Time and Energy in Gravity Theory
Ivanhoe B. Pestov
A new concept of internal time (viewed as a scalar temporal field) is introduced which allows one to solve the energy problem in General Relativity. The law of energy conservation…
Geometry of Manifolds and Dark Matter
Ivanhoe Pestov
It is shown that the theory of dark matter can be derived from the first principles. Particles representing a new form of matter gravitate but do not interact electromagnetically,…
On Principle of Universality of Gravitational Interactions
I. B. Pestov
In this work, the experiment is discussed on the verification of the principle of universality of gravitational interactions and some related problems of gravity theory and physics…