Special Relativity’s “Newtonization” in Complex “Para-Space”: The Two Theories Equivalence Question

Complex model, say C3, of “para-space” as alternative to the real M4 Minkowski space-time for both relativistic and classical mechanics was shortly introduced as reference to our previous works on that subject. The actual aim, however, is an additional analysis of the physical and para-physical phenomena’ behavior as we formally transport observable mechanical phenomena [motion] to non-real interior of the complex domain. As it turns out, such procedure, when properly set, corresponds to transition from relativistic to more classic (or, possibly, just classic) kind of the motion. This procedure, we call the “Newtonization of relativistic physical quantities and phenomena”, first of all, includes the mechanical motion’s characteristics in the C3. The algebraic structure of vector spaces was imposed and analyzed on both: the set of all relativistic velocities and on the set of the corresponding to them “Galilean” velocities. The key point of the analysis is realization that, as a matter of fact, the relativistic theory and the classical are equivalent at least as for the kinematics. This conclusion follows the fact that the two defined structures of topological vector spaces i.e., the structure imposed on sets of all relativistic velocities and the structure on set of all “Galilean” velocities, are both diffeomorphic in their topological parts and are isomorphic as the vector spaces. As for the relativistic theory, the two approaches: the hyperbolic (“classical” SR) with its four-vector formalism and Euclidean, where SR is modeled by the complex para-space C3, were analyzed and compared.

About the Conflicts between the Unitary Quantum Theory and the Special and General Relativity Theories

The authors discuss contradictions between the principal branches of the modern physical picture of the universe. Space and time have been shown in the Unitary Quantum Theory (UQT) not to be connected one with the other, unlike in the Special Theory of Relativity. In UQT, time becomes Newtonian again, and the growth of the particle’s mass with growing speed proceeds from other considerations of physics. Unlike the quantum theory, the modern gravitation theory (the general theory of relativity) is not confirmed by experiments and needs to be considerably revised.

Ohm’s Law Refutes Current Version of the Special Theory of Relativity

It is shown that Ohm’s law is not only the main electrical engineering law, but also a generally scientific worldview law of the extreme significance, as in the interpretation of Steinmetz it proves physical reality of imaginary numbers theoretically and experimentally in the most indisputable way. Thus, it refutes the principle of light speed non-exceedance, which is fundamental in the special theory of relativity. Moreover, unlike the MINOS and OPERA experiments recognized by physical com-munity as not enough reliable, which were conducted for the same purpose, alternative experiments were performed during the research of oscillation processes in linear electric circuits. Therefore, they are absolutely reliable and conclusive as can be repeated and verified in any electrical engineering laboratory. The principle of phy-sical reality of imaginary numbers proven by the electrical engineering experiments is generally scientific, since mathematics is the universal language of the exact sciences. Therefore, all scientific theories and hypotheses in quantum mechanics, relativity theory, geo-physics, cosmology, optics, radio electronics and other sciences should be adjusted accordingly, given the principle of physical reality of imaginary numbers. There is an example of how this can be done in the special theory of relativity and astrophysics. This approach allowed explanation of dark matter and dark energy, which correspond to the invisible parallel universes existing in extra dimensions.

Critical Comments on the Paper “On the Logical Inconsistency of the Special Theory of Relativity”

Special Relativity Theory is more than 110 years aged and during this period it was elaborated until minuscule details. However, there might be some logically deduced discrepancies, which demand a scrupulous study. Nonetheless, every search for inherent contradictions is an uphill task. The author of the considered paper proposed a situation with two series of synchronized clocks. Each series is at rest in its own frame of reference, but one of them is deemed to be stationary and other is moving with a constant relative velocity. The author believes this situation to be contradictable. But really, the suitable mathematical analysis proves that it is none other than a consequence of neglecting the basic tenets of the theory.

Analysis of a Stochastic Emission Theory Regarding Its Ability to Explain the Effects of Special Relativity

In this article, we investigate the physical consequences that would result if electromagnetic field quanta were emitted at random speeds by a source and if the receiver could only perceive the fraction of the quantum field that is slower than the speed of light in its individual rest frame. The analysis shows that this plausible hypothesis eliminates the weak points of conventional emission theories and that both postulates of special relativity are fulfilled. Furthermore, the results demonstrate that this theory can explain numerous experiments that are usually interpreted using different aspects of special relativity. However, the resulting quantum field theory is not equivalent to the special theory of relativity and requires neither spacetime nor Lorentz transformation. Furthermore, this approach offers a starting point for interpreting quantum effects and effects that contradict the special theory of relativity.

The Use of The Special Theory of Relativity for the Meissner Effect in a Superconductor

The electromagnetic waves are considered in this article as the mediators of interaction in the Meissner Effect or the diamagnetic property of the superconductors. During the cooling of a superconductor electromagnetic waves may be released when the electrons occupy lower states of the energy. These electromagnetic waves may combine in circularly, elliptically and spherically rotating way, being called in this article the rounded electromagnetic fields. The application of the Lorentz transformation of the Special Theory of Relativity to the magnetic vectors of the mediating electromagnetic fields implies the magnetic orthogoniopedic effect inside the bulk of a superconductor in the Meissner Effect.

Comparative Analysis of Existing and Alternative Version of the Special Theory of Relativity

The article explains that: 1) relativistic formulas obtained in the existing version of the special theory of relativity (STR) are incorrect;2) relativistic formulas obtained in the existing version of the STR are explained incorrect due to the use of the nonexistent in nature principle of light speed non-exceedance;3) conclusions on physical unreality of imaginary numbers and existence of only our visible Monoverse drawn from relativistic formulas of the existing version of the STR are incorrect due to the use of the incorrect principle of light speed non-exceedance. In other words, the existing version of the STR created in the 20th century is not quite true. Moreover, the correct STR could not be created in the 20th century, since 1) the principle of physical reality of imaginary numbers refuting experimentally the postulated (i.e. being an unproven assumption) principle of light speed non-exceedance was published only in the 21st century;2) experimental data whose mathematical analysis discerned the quaternion structure of the hidden Multiverse consisting of twenty to twenty-two invisible parallel universes in six-dimensional space were obtained by WMAP and Planck spacecraft only in the 21st century;3) explanation of the way how astronomical observations of constellations of the starry sky in portals can experimentally prove the existence of invisible universes was published only in 2019. Therefore, the article presents an alternative version of the STR, free from the shortcomings of its existing version. Other relativistic formulas that have been obtained in the alternative version of the STR are explainable both at sub-light and hyper-light speeds, and for real and imaginary values of all quantities corresponding to these formulas. Therefore, the principle of light speed non-exceedance is excluded from this version of the STR. For the same reason, the alternative version of the STR states that there is a Multiverse of mutually invisible parallel universes, rather than a Monoverse, since all the mutually invisible parallel universes are relative to each other beyond the event horizon. It also explains how the existence of these invisible parallel universes can be proved by astronomical observations in portals. Moreover, the WMAP and Planck spacecraft data are used in the alternative version of the STR to clarify the structure of the hidden Multiverse. Their mathematical processing has testified that the hidden Multiverse has a quaternion structure and contains twenty-twenty two invisible universes in six-dimensional space.

Special Theory of Relativity and the Intrinsicality of Spacetime Shape

In objection to one of Yuri Balashov＇s defenses of perdurantism, Matthew Davidson claims that, according to the special theory of relativity, both 3-dimensional and 4-dimensional shapes are nonintrinsic, i.e., they are relative to reference frames. The author argues that 3-dimensional and 4-dimensional spatial shapes are indeed nonintrinsic, but shapes in 3-dimensional and 4-dimensional spacetime are intrinsic according to the special theory of relativity. This follows from the special relativity theory＇s claim that spacetime intervals or distances in any n-dimensional spacetime are invariant, unlike spatial distances.

Measurement Method of Graviton Velocity and Thought on Correcting Lorentz Transformation——The Superluminal Neutrino’s Influence on Special Relativity and Other Physical Theories

After discovery of the superluminal particle and consideration on development of contemporary physical theory research, also on the existing errors and omissions, the principle of constant light speed is found not a necessary condition in derivation of Lorentz Transformation;instead, this thesis proposes the velocity of graviton may feature superluminal, constant velocity in different directions, and independence of inertial reference frame speeds. This is an optional thought of correction. According serial hypothesis, an equation of graviton’s motion trace, i.e., the central curve of nebula density, is established for spiral galaxy. Thus we gain the method to measure velocity of graviton. If to totally avoid problem of limit speed, we have to search for independent of inertia frames, and relevant to space-time properties. Regarding current difficulties of singular points in the Theory of Limited Universe, this thesis points out that the document [1] is the best solution to these difficulties.

Geometrical Meaning of Time and the Theory of Relativity

New geometrical model of time is suggested where time of body’s motion is defined as the length of its trajectories in four-dimension space-time. Within suggested approach periodical motions in clocks correspond to definite length of four-dimension trajectories that is clocks appear to be standards for measurements of length in four-dimension space analogously as hard sticks are standards for measurements of length in three-dimension space. This means that space and time are entities of the same geometrical nature. A suggested interpretation of time leads to necessity of changes in general theory of relativity. These changes are unessential for body’s motion in weak gravitational field.

Simple Test of Special Relativity Involving Fresnel Drag and Light Propagation in a Uniformly Moving Medium

In this paper, a simple test of special relativity involving light transmission through a uniformly moving medium and Fresnel’s drag coefficient is discussed. It is shown using Fresnel drag that there is a difference in propagation time of two light beams travelling in opposite directions in such a medium and that this time difference is independent of the index of refraction of the medium. This result has been experimentally confirmed by Wang et al. but cannot be explained by special relativity. Fresnel drag in the context of ether theory provides a full and accurate explanation that is consistent with the existence of a preferred frame.

Relativity of Speed of Light with Speed of Universe Expansion

Theory of “Relativity of speed of light with speed of universe expansion” explains relation of speed of light with speed of universe expansion. This theory provides an evidence that the time cannot be relative as stated by Theory of General Relativity. Theory of Special Relativity and Theory of General Relativity were based on two fundamental propositions i.e. constancy of speed of light and independence of physical laws (especially the constancy of speed of light) from the choice of inertial system. However, postulate of these theories is not correct. Theory of “Relativity of speed of light with speed of universe expansion” answers fundamental propositions i.e. constancy of speed of light and independence of physical laws in logical manner. This theory also explains real reason behind E = mc2.

The Relativistic Mechanic Theory of the String

In this article, a novel speculative method is used to derive the relativistic mechanic that governs the motion of the vibrating string within the compactified-dimensions spacetime. This mechanic claims that the relativistic mechanic of the special relativity should be only valid for the motion within the familiar four-dimensional spacetime. However, our novel mechanic is valid for the motion within the compactified-dimensions spacetime predicted by the string theory. The equations of this new mechanic show that the vibrating string can move within the compactified dimensions in a speed that is faster than light. It is also shown that this new relativistic mechanic goes to the classical Newtonian mechanic whenever the speed of the vibrating string is much less than the speed of light. Since the proposed mechanic does not prohibit the existence faster than light motion, it may uncover some of the mysteries regarding the string theory, such as the existence of tachyon and time travel. The main goal of this paper is to show that the motion within the compactified-dimensions spacetime obeys a different relativistic mechanic that will provide a startling and revolutionary perspective on the universe and answer some of the fundamental questions posed in the modern physics.

Two Problems of Time Entering Respectively the Relativistic Mechanics and Electron Transport in Quantum Theory

In the relativistic mechanics, we calculate a minimal distance between the time scale of a one-dimensional motion having a larger velocity and the time scale of a similar motion with a lower velocity. Concerning the quantum theory, we demonstrate that mechanical parameters entering the electron motion in the Bohr hydrogen atom can provide us with a correct size of the time interval entering the Joule-Lenz law for the emission energy between two neighbouring quantum levels of the atom.

The Fundamental Definitions in Radar Measurement Principle and Theory of Space and Time

Fundamental definitions of distance and velocity in radar measurement principle are examined and revised from strict theoretical point of view. Synchronization scheme - for clocks in uniform, translatory relative motion is introduced as theoretical foundation for GPS and GLONASS type navigation and positioning technology. Traditional definitions of two-way radar measurement, based on arithmetic mean vlaue concept, turn out to be special cases of revised definitions for one-way radar measurement, based on geometric mean concept, derived from synchronization of moving clocks in accordance with the principle of relativity. The essential physical meaning of Lorentz transformation is interpreted in terms of radar measured parameters. Invariance or absoluteness of four dimensional interval turns out to be invariance or absoluteness of geometric mean time interval. The Lorentz factor turns out to be ratio of geometric mean and arithmetic mean time intervals in terms of radar measured parameters. Theoretical results are illustrated transparently by numerical examples. A crucial experiment for direct testing of the second postulate of special relativity by means of GPS of GLONASS type technology is proposed in this paper.

I-Theory: A Unifying Quantum Theory?

This paper gives an overview of a new theory called the “I-Theory”, in the context of several accepted theories in physics and cosmology. This paper reviews the salient features of the “I-Theory”, which introduces new particles like I, S∞ and A1 particles and provides a fuller understanding about Dark Matter, Dark Energy, Matter/Anti Matter and the four fundamental forces. “I-Theory” introduces a new concept of the “quality” of energy with White, Black and Red matter formed with regard to the frequency level of the energy vibration. The authors discuss the main features and controversies of the Standard Model, General Relativity, Big Bang, and Supersymmetry and attempt to answer some of the unsolved questions. It is proposed that the “I-Theory” can successfully encompass all major theories and thereby becomes the theory of the whole, the Unifying Theory.

Effect of Matter Distribution on Relativistic Time Dilation

Context: Derivations for the relativity formulations for the Lorentz are conventionally based on continuum mechanics. Purpose: This paper derives the formulations from a particle perspective. Approach: A non-local hidden-variable (NLHV) approach is adopted, based on the specific particle structures of the Cordus Theory. Findings: The Lorentz and relativistic Doppler formulations are shown to be derivable from a NLHV particle perspective. Unexpectedly, the equations contain an additional term relating to the difference in the distribution of matter (fabric density) between situations. For a homogenous fabric, which is the assumption of general relativity, the conventional formulations are recovered. Originality: The novel contribution is deriving the relativistic formulation from a NLHV theory. Also novel is the identification of the fabric density as a term in the Lorentz. Implications: It is predicted that inertial frames of reference are only situationally equivalent in the special case where they also have the same fabric density. We find against the cosmological principle with its assumption of homogeneity. The resulting situational theory of relativity has further implications for interpreting gravitational interactions at the galactic scale and larger.

Relativistic Derivations of de Broglie and Planck-Einstein Equations

Special Relativity sets tight constraints on the form of the possible relations between the four-momentum of a particle and the wave four-vector. In fact, we demonstrate that there is just one way, according to Special Relativity, to relate the energy and the momentum of a corpuscle with the characteristics of a plane wave, frequency and wave vector, if the momentum has to flow in the same direction of the wave propagation: the laws must be of direct proportionality like de Broglie and Planck-Einstein equations.

New Evidence, Conditions, Instruments &Experiments for Gravitational Theories

Two significant findings compel a rethink of physical theories. First, using a 7-billion-year-old gamma-ray burst, Nemiroff (2012) showed that quantum foam could not exists. And second, Solomon (2011) showed that gravitational acceleration is not associated with the gravitating mass, that gravitational acceleration g is determined solely by τ the change in time dilation over a specific height multiplied by c2 or g = τc2. Seeking consistency with Special Theory of Relativity, as means to initiate this rethink, this paper examines 12 inconsistencies in physical theories that manifest from empirical data. The purpose of this examination is to identify how gravitational theories need to change or be explored, to eliminate these 12 inconsistencies. It is then proposed that spacetime is much more sophisticated than just a 4-dimensional continuum. And, that the Universe consists of at least two layers or “kenos” (Greek for vacuous), the 4-dimensional kenos, spacetime (x, y, z, t) and the 3-dimensional kenos, subspace (x, y, z) that are joined at the space coordinates (x, y, z). This explains why electromagnetic waves are transverse, and how probabilities are implemented in Nature. This paper concludes by proposing two new instruments and one test, to facilitate research into gravitational fields, the new torsion-, tension- and stress-free near field gravity probe, the gravity wave telescope, and a non-locality test.

Extra Time Dimension: Deriving Relativistic Space-Time Transformations, Kinematics, and Example of Dimensional Compactification Using Time-Dependent Non-Relativistic Quantum Mechanics

We consider a five-dimensional Minkowski space with two time dimensions characterized by distinct speeds of causality and three space dimensions. Formulas for relativistic coordinate and velocity transformations are derived, leading to a new expression for the speed limit. Extending the ideas of Einstein’s Theory of Special Relativity, concepts of five-velocity and five-momenta are introduced. We get a new formula for the rest energy of a massive object. Based on a non-relativistic limit, a two-time dependent Schrödinger-like equation for infinite square-well potential is developed and solved. The extra time dimension is compactified on a closed loop topology with a period matching the Planck time. It generates interference of additional quantum states with an ultra-small period of oscillation. Some cosmological implications of the concept of four-dimensional versus five-dimensional masses are briefly discussed, too.