Abstract
In this paper we complete the relativistic cosmological theory because we extend the variational principle including variations of metric induced by expansion of the space. We will show that the mass not only curves Space and Time but also generates them: we’ll speak of the principle of mass-space equivalence. Then the increasing mass generates variations of metric as also the space increasing or expansion. So, the dark component of the mass generates additional gravity around galaxies as well as additional space, which generates a pressure (dark energy) accelerating the galaxies in their move away. All this could explain the cosmic coincidence (Ωdm/Ωde ≈ 1). To talk about the increasing mass is equivalent to speak of mass creation in universe, causing the variation of the tensor (T) mass-energy tensor of all component fields. We conjecture that its variation is caused by mass-energy flow comes out from a physical system (Θ) composed by set of uncoupled quantum oscillators (structure of no-field) in vacuum state. All this allows formulating a variational principle which generates the cosmological equation with the (Λ) parameter and a tensor T* with variable mass density, where T*(T, Θ).
Highlights
In modern cosmology the expansion of space is not derived from any fundamental principle of physics but is defined as empirical properties of space in the universe
Always in literature there are some hypotheses about the origin of the expansion but these studies lead to problematic aspects and frequently in contrast to General Relativity (GR), which is the theory of base of a modern cosmology coherent with astronomical observations
In par. 3.2 we show that the theory of the lattices of field at massive coupling is coherent with the Equivalence Principle (EP) and can solely express a relativistic cosmology
Summary
In modern cosmology the expansion of space is not derived from any fundamental principle of physics but is defined as empirical properties of space in the universe. Note that the generalized law of Hubble (expansion and acceleration) is drawn in a universe to mass-space increasing (ordinary massive fields and dark massive fields), where the splitting of the IQuO happens in everybody the points of the space That is possible if at physical state U (the Universe), seen as set of particles-fields, we add a physical state (Θ), seen as “inert” reservoir of energy quanta, with which U changes energy (mass-space flow) All this allows deriving the cosmological equations with the (Λ) parameter, which describe a universe with variable metric perfectly “compatible” with the RG. You see its expansion and acceleration, as well as dark matter-energy
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