Geometer - Energy Unified Field Theory (GEUFT): an alternative to try to understand the acceleration of the Universe

In the past few years, a lot of efforts had been made to try to explain the accelerated expansion of the Universe. Though there has been proposed the existence of dark matter and dark energy to try to explain why is the Universe presenting acceleration instead of deceleration, it has not been yet fully understood which mechanism is followed by the celestial bodies, specially, by the furthest ones. In addition, the energy density of the Universe is required to remain almost constant in order to explain this acceleration, and no determining explanation has been made for the all - around incoming ultra high energy cosmic rays. GEUFT does not make aside the Theory of General Relativity (GR), but it supports it. A mathematical set of equations has been proposed under the scope of the GEUFT. It is based on the existence of energy strings that have stretching - contracting - torsional movement, and which are constituted by four main energy contributions: a) directed flux energy b) plasma energy c) radiation energy d) mass energy. These energy contributions are related by a variable called symbiosis ($\sigma$). Elasticity of the strings is very important, since the geometer - energy state (GES) of the string depends on it. Symbiosis general equation is: $\sigma$ = f$ _{i}$ (r, E$ ^{F}$, E$ ^{P}$, E$ ^{R}$, E$ ^{M}$) (1) Where ($\sigma$) is the variable called symbiosis and relates the four energetic contributions, "f$ _{i}$" is a function that varies according to the segment of the string under study, "r" is the radius of the string from the center - perpendicularly - at any point of it, "E$ ^{F}$" is the directed flux energy, "E$ ^{P}$" is the plasma energy,"E$ ^{R}$" is the radiation energy, and "E$ ^{M}$" is the mass energy. The subindex "i" indicates the transforms used in a vectorial field, being (r, y, z) in an orthogonal unitary system, and (z, t) in a rectangular unitary system. The strings of GEUFT are different from the superstring theory or related string theories - all of which are respectable -, since those strings require the existence of more than 11 dimensions. GEUFT, like GR, is based only in four dimensions. By comparison, GR requires the existence of four dimensions: three of space (geometric) and one of time. But GEUFT requires the existence of three geometric dimensions, and one of energy. When it comes to the velocities involved at macrocosmic and microcosmic events, which are at the speed of light or close to it, the pass of time becomes so large that it seems to stop. But events that occur at the cosmological scales, and also at subatomic scales, involve huge ammounts of energy. There is where GEUFT exchange time for energy. In this sense, the equations are time independent. General Equation for the total Energy involved at a GES is as follows: E$ ^{T}$ = g$ _{j}$ ($\sigma$, r, $\rho$, $\varepsilon$ ) (2) Where E$ ^{T}$ is the total energy at a certain point of the string related to a geometer - energy - state, g$ _{j}$ is a function that also varies depending on the segment of the string under study, "r" is the radius of the string, $\rho$ is the density of the string, and $\varepsilon$ is the elasticity of the string at a certain point. The subindex "j" indicates wether the segment of the string under study is in the concentrated energy region or on the dispersed energy region. The strings of GEUFT are organized hierarchically, calling them of first, second, third, fourth, or fifth order, refering to events that occur at a cosmological level, and they form the cosmic tissue. They are interweaved, and with each extension movement they "braid" to form a single superior order string, and with each contraction movement they "unbraid" to form many individual inferior order strings. The GES of the strings have different shapes and are represented by a set of geodesics, which in turn yield the different manifestations of mass and energy of the Universe: stars, galaxies, nebulae, clusters, quasars, pulsars, GRB, and also they could manifest themselves as dark matter and dark energy. This work is an attempt to try to understand the nature of the Universe and the mechanisms that it may undergo.