Relativity: The special and general theory

The relativists have not understood the geometry of Einstein's gravitational field. They have failed to realise that the geometrical structure of spacetime manifests in the geometrical relations between the components of the metric tensor. Consequently, they have foisted upon spacetime quantities and geometrical relations which do not belong to it, producing thereby, grotesque objects, not due to Nature, but instead, to faulty thinking. The correct geometry and its consequences are described herein.

viXra, 2018

It is assumed that the geometric basis of the physical world is not the Minkowski space, but the three-dimensional projective space in which the absolute is given in the form of an oval surface. The fundamental changes, which in this case will occur in mathematical physics, are briefly outlined.

The invariance of the speed of light is taken as the fundamental of modern physics. But, in recent, the faster-than-light was observed. It requires that the fundamental of the whole physics be reassessed. In this paper, in the mathematics, the definitions in Euclidean Elements are stressed. It is pointed out that these definitions are only the concepts. They are not related to a certain real object or body. In physics, the Newtonian framework is stressed. It is pointed out that, in Newtonian theory, the abstract concepts are used as the definitions in Euclidean Elements. For example, the Sun is treated just as a point particle. And the initial law only is an abstracted concept which cannot be checked with experiment while it can be understood by our brain. According to the Euclidean Elements and Newtonian theory, some of the mathematical and physical concepts in modern physics are discussed. For example, it is pointed out that the extra dimension in modern physics is not a mathematical concept of Euclidean geometry as it is related to a real pillar. It is stressed that high and fractional coordinate systems are used to describe the object that can be described with the Cartesian one. And, the equations of physics in different coordinate systems and the transformation of the equations among different coordinate systems are discussed.

A meta-ontological proof of the metalogical principles that enable and sustain reality and mathematics: This draft contains extensive revisions & corrections, especially in the +/--90 pages of definitions of key terms & principles. The body of the main text is now approximately 16 pages, without graphic figures & endnotes. / Abstract: This paper presents findings, results, and metatheory that verify proofs of various mathematical problems, theorems, meta-theorems, and principles that enable and sustain them (their possibility, existence, and validity). It refers to and supports the work and proofs of two other projects, re: the nature of mathematics and being. These results are supported by discoveries, proofs, and visible examples presented by competent physicists, astronomers, geometers, and mathematicians. The astrophysical evidence of metalogical principles (enabling it and geometry) was presented in a video on a by Richard Feynman, Phd., Nobel Laureate and master educator.

There is a general consensus among physicists about what is a physical theory. The essential concept is a set of principles or axioms which are unproven statements, whose validity is sustained on the consistency of the whole theory and its ability to make correct predictions. Using standard rules of mathematics and logic it is possible to derive consequences from the set of principles, some of which are observables and can be confronted with experiment and/or observation of the physical world. In general every theory has its own application domain, that is, a set of conditions where it is capable of providing verifiable predictions. No physical theory has yet been formulated whose application domain is universal and the search for a unified theory of physics is a strong motivation for many researchers. The goal is to establish a reduced number of principles from which one could derive a formalism applicable to physics of all scales, from particles to the cosmos, and to all times, from the origin of the Universe, through the present time, allowing predictions for the Universe’s future. This book is different from the majority of physics books because it does not pretend to formulate physics theories, although it derives formalisms applicable to physics; it’s essential difference is that it requires not a set of principles but rather a space, referring to a number of dimensions and a space metric.

Eprint Arxiv Gr Qc 9606035, 1996

We argue that space-time geometry is not absolute with respect to the frame of reference being used. The space-time metric differential form ds in noninertial frames of reference (NIFR) is caused by the properties of the used frames in accordance with the Berkley -Leibnitz -Mach -Poincaré ideas about relativity of space and time . It is shown that the Sagnac effect and the existence of inertial forces in NIFR can be considered from this point of view.

Primordially a geometry was a science on properties of geometrical objects and their mutual disposition. Such interpretation of the term "geometry" is qualified as physical geometry. A use of only Euclidean geometry generated another interpretation of the term "geometry", which was interpreted as a logical construction. Such interpretation of the term " geometry" is qualified as mathematical geometry. Mathematical geometry cannot use for description of the space-time, generally speaking. Nevertheless the mathematical geometry has been used for description of the space-time during the twentieth century. This circumstance lead to problems in general relativity.