Physical Mathematics

Fizeau experiment actually proves not partial, as the special relativity asserts, but complete dragging of the light by moving medium. The decrease of the fringe shift in the Fizeau's two-beam interferometer is explained not with wrong Fresnel's aether drag hypothesis but with the phase deviations arising in the interfering beams because of Doppler shift of the frequencies. Fizeau experiment does not prove but, on the contrary, refutes Einstein's theory of relativity.

According to basic tabular data (DEFRA-commissioned project BD1310. Final report to the Department for Environment, Food and Rural Affairs) steady regularities between biochemical substances of the soil of pastures and hydrological parameters of their water mode are revealed shows the ranking methodology affecting and dependent factors and identification of deterministic models of the relationship between the 10 factors according to the general equation consisting of the sum of two biotechnical laws.

In 1905, Albert Einstein published his paper ‘On the Electrodynamics of Moving Bodies’, which is referred as the special theory of relativity. In Section 3 of this work, he developed a factor for describing a moving system in terms of a reference stationary system known as the Lorentz factor. In the climax of the development of Lorentz factor in this section, Einstein provided the series of equations that contains the mutual terms c, v, t, and x’. Clearly, ‘c’ corresponds to the velocity of light, ‘v’ is the velocity of the moving system, and ‘t’ is the time passage in the reference stationary system. However, regarding x’, the meaning is not clear as a mutual term. Besides, the values of x', which should have identical values, differ for the various equations. Thus, there is an inconsistency as regarding the usage of x' in the development of the Lorentz factor in Section 3 of ‘On the electrodynamics of moving bodies’. This issue should be discussed not only from the viewpoint of mathematics, but also from the viewpoint of formal logic, which is a practical tool for the study of any science.

In previous papers, we have presented a general formulation of special relativity, based on a weaker statement of the postulates. In this work, the paradigmatic example of the twin paradox is discussed in detail. Within the present formulation of special relativity, a “non-paradoxical” interpretation of the asymmetric ageing of the twins emerges. It is based exclusively on the rhythms of the clocks, which are not related by the standard textbook expressions and shall not be confused with clock time readings. Moreover, the current approach exposes the irrelevance of the acceleration of the returning twin in the discussion of the paradox.

Synthesis of the current state of research on the conversion processes involving electromagnetic energy and mass, and description of an expanded space geometry that may help resolve many of the remaining issues

The statement ‘Every reference-body (co-ordinate system) has its own particular time’, which appears in Einstein’s book—‘Relativity: The Special and General Theory’, is widely accepted among physicists and even by the general public with the popular interpretation that a clock in a moving body and another clock at rest in the reference stationary body will indicate different values of time. However, upon examining the grounds for this perspective by using the equation ‘time=distance/velocity’ and using ‘the principle of the constancy of the velocity of light’, we find that the above sentence should be arranged as ‘Every reference body (coordinate system) has its own particular measurement of the time interval for the propagation of light and, also it has its own particular measurement of the interval of the light path that must be used in order to calculate its time interval. The numerical value of the ratio of these two intervals is 1:1 always.’ This implies that the pace of ticking of all clocks is identical. This fact contradicts the above popular interpretation.

In this paper, we present a new method, the so called Riccati-Bernoulli Sub-ODE method to construct exact traveling wave solutions of the nonlinear modified Korteweg-de Vries (mKdV) equation and also,we use this method in order to solve the nonlinear random modified Korteweg-de Vries (mKdV) equation. It has been shown that the proposed method is effective tools to in order to solve many mathematical physics problems. The travelling wave solutions of these equations are expressed by hyperbolic functions, trigonometric functions and rational functions. The impression of the random coefficient in our problem is studied, by using some distributions through some cases studies.

This is an experimental paper, resembling the Sagnac Effect (SE), but using electrical signals in closed conductive wire loops with an area. The results are completely different than the SE, depending on the time of the day and the epoch. We curried several experiments, and we measured and studied velocities of square pulse signals, propagated along a one-dimensional wire. In particular, we determined, the existence of very important of a preferred velocity of the order of 30000 ∓ 425 m/s. Our experiment concerned a type of SE, M-M and Michelson- Gale1 Experiment (M-G Exp.), all together abbreviated to SE-M-M-G. However, the present experiment is using inexpensive electrical signals of square pulses with a cable installation. It is of a higher range of measurements than the SE-M-M-G Exp. In the literature, these signals have been specified wrongly in the past. They were referred as group velocities or phase velocities or time reversed precursor signals, (never observed this unphysical time reversal in our Universe before). By the obvious purpose to make no contradiction or harm to the “Theory Special Relativity.” The present discovery concerns the very roots of Special Relativity of EINSTEIN that own velocity of an observer can be observed (always absolute, due to an existing curvature, due an existing gravitation field which extends to infinite in the universe) to the point (SR) is threatened its viable existence. We show that we detect the crest of a square pulse signal. A capable signal of diverting the beam of our oscilloscope, or turning on a lamp, or triggering a relay, as the trigger of the presently used oscilloscope, or in general telecontrolling information. Thus, carrying information slower or faster than the velocity of light. Therefore, it is violating the very core of Special Relativity of Einstein in many ways, and not for the first time50, but not to its very roots and to complete depth of extinction.

This paper examines the relationship between the four fundamentals forces and shows how, using fluid mechanics, electromagnetism, quantum mechanics and gravity, these forces converge on one solution just as Mathematics does. An equation for the universal processes is provided.

We hypothesize that the Universe contains observable subluminal matter (tardyons and locatily) and unobservable superluminal matter (tachyons and nonlocality). By using space-time ring we establish mathematical theory of space-time with subluminal and superluminal coexistence. The rotating motions of tardyons and tachyons produce centrifugal and centripetal (gravity) forces, respectively. This paper deduces a new gravitational formula and Newtonian gravitational formula from the tardyonic and tachyonic coexistence principle. Through the morphism we first show that tardyons and tachyons are interchangeable, but that tachyons are unobservable . We then convert the tachyonic mass into tardyonic mass We obtain gravitational coefficient η = 6.9 ×10-10.Using it we establish the expansion theory of the universe and suggest the new universe model