Modified Newtonian equations for gravitational orbits in the expanding Universe indicate that local gravitationally bounded systems like galaxies and planetary are unaffected by expansion of Universe. This result is derived space described standard FLRW metric. In this paper, modified conformal cosmology (CC) metric, comoving proper times different similarly as distances. As shown Vavryčuk (Fro...

We derive a new model for neutrino-plasma interactions in an expanding universe that incorporates the collective effects of neutrinos on plasma constituents. start from kinetic description multi-species flat Friedmann-Robertson-Walker metric, where particles are coupled to through charged- and neutral-current forms weak interaction. then fluid equations specialize our (a) lepton epoch, we consi...

The gravitational instability of inhomogeneities in the expanding universe is studied by the relativistic second-order approximation. Using the tetrad formalism we consider irrotational dust universes and get equations very similar to those given in the Lagrangian perturbation theory in Newtonian cosmology. Neglecting the cosmological constant and assuming a flat background model we give the so...

The notion of a universe of types was introduced into constructive type theory by Martin-Löf (1975). According to the propositions-as-types principle inherent in type theory, the notion plays two rôles. The first is as a collection of sets or types closed under certain type constructions. The second is as a set of constructively given infinitary formulas. In this paper we discuss the notion of ...

Modified Newtonian dynamics can be considered as an effect derived from a squeezable extra dimension space. The third law of Newtonian dynamics can be managed to remain valid in the 5-space. The critical acceleration parameter a0 appears naturally as the bulk acceleration that has to do with the expanding universe in this setup. A simple toy model is presented in this Letter to show that consis...

The first relativistic stochastic process has been constructed ten years ago to help understand the differences between Galilean and relativistic transport phenomena. We first review the litterature on this process, highlighting the striking conclusion that no coherent hydrodynamic theory of relativistic transport can be constructed and that only kinetic models are to be envisaged. The second p...

A theory is developed which attempts to reconcile the measurements of nonlocal quantum observables with special relativity and quantum mechanics. The collapse of a wave function, which coincides with a nonlocal measurement by some macroscopic measuring device, is associated with the triggering of an absorber mechanism due to the interaction of the apparatus with the charges in the rest of the u...