MACH’S PRINCIPLE AND SOME PROMISING NEW RESULTS IN FIVE-DIMENSIONAL FIELD THEORY

The further development of the five-dimensional field theory is considered and it is shown that it contains even more new and very promising possibilities that relate to the influence of the dimension of our Universe and its geometry on the physical and geometric characteristics available in it, as well as the identification of the connection between the field equations of this theory and various old and new problems of modern physics, astrophysics and cosmology.

The Mach's Principle and Large-scale Modification of Newtonian Gravitation as Alternative Approach to Cold Dark Matter and Dark Energy

We take a heterodox approach to the ΛFRW Cosmology starting from the modification of Newtonian gravity by explicitly incorporating Mach's Principle through an additional term a great scale in the gravitation. The results show that at the after of the matter-radiation decoupling, the distribution of matter at scales greater than 10Mpc contributes with an inverse Yukawa-like field, which verifies the observations: resulting null in the inner solar system, weakly attractive in ranges of interstellar comoving distances, very attractive in comoving distance ranges comparable to the clusters of galaxies, and repulsive in cosmic scales. This additional term explains dark energy, removes the incompatibility between the density of matter and the flatness of the universe; and also allows the theoretical deduction of the Hubble-Lemaitre Law. Additionally, Birkhoff Theorem, Virial Theorem, the missing mass of Zwicky, the BAO, gravitational redshift are discussed. It is concluded that the dark energy and the missing mass can be approached with the usual physics if a classical, large-scale modification of the Inverse Square Law.

A Topological Approach to Shrinking Higher Dimensions of Space to Observable Space-Time: Can the Dimensional Anisotropy of Space Satisfy Mach’s Principle?

We create a model universe by equipping a topological surface (system) with compact dimensions insulated by an information blocking horizon. The insulated compact WF can produce entanglement independent of distance. Interaction between the system and the WF changes the curvature of the first and the quantum state (frequency) of the second in an interconnected relationship. Thus, the field curvature measures the evolution of the particle WF as time. Positive field curvature creates pressure, whereas negative field curvature generates a vacuum, satisfying the Borsuk-Ulam Theorem and the Page and Wootters mechanism of static time. The accumulation of pressure or vacuum generates poles with contrasting dimensionalities, two-dimensional black hole horizons (time infinite), and four-dimensional cosmic voids (time zero). The orthogonality of the field and the compact WF give rise to global self-regulation that fine-tunes the cosmic parameters and can promote fractal topology. The four-dimensional vacuum in cosmic voids can produce an accelerating expansion without dark energy. When gravity effects are eliminated, we find a new, so far unexplored, order-increasing side of entropy. The verifiable and elegant hypothesis satisfies Mach's principle.

RELATIONAL STATISTICAL SPACE-TIME FOR COSMOLOGICAL SCALES

The relational statistical approach is used in the study of phenomena of macroscopic cosmological scales. In fact, a variant of the generalized Mach’s principle is developing. Theoretical models of Dark matter as well as Dark energy without introducing additional particles and forces are discussed. Changes in the ordinary kinematic and dynamic equations for ultra-ultra-high speeds are considered. Some new effects are predicted at such energy scales.

RELATIONAL PARADIGM IN ASKS AND ANSWERS

What is the reason for a minor success of relational ideas in scientific and public society? Are they actually that weird as they seem at the first glance? Here we try to give a fresh-eye look to the relational cornerstones (secondary nature of space-time, action at a distance, and Mach’s principle). We consider some typical questions usually asked by the opponents, both physicists and wide audience, to find some new arguments in favor of this concept.