This paper explores contradictions in Einstein's definition of simultaneity, and their contribution to the famous Twin Paradox. In the Galilean case, t = t', the Cosmonaut and Earth twins obviously age the same, but in the other cases we obtain ontological contradictions. The problem lies in Einstein's synthesis of non-motion and motion of one and the same light ray. Gauss's Modular or Time Arithmetic helps to identify and sort out the fundamental problems. Despite Einstein, only one time has ever existed: the present. The inequality of entities within the electromagnetic continuum creates the non-synchronicity we call motion.
"What is TIME?
TIME is a being, the world itself, all pervasive ultimate level of existence.
The ontology of TIME is a new branch of metaphysics, which conceives of TIME as a being that is as a fundamental, real, and unique infinity. And it can be unique as it is non-spatial and inextensive.
The concept of the unique infinity is the solution to the aporias of the dual nature of infinity, or the synthesis of the concepts of infinitely large and infinitely small/infinitesimal.
Unique infinity is TIME; it is non-spatial and also independent of its parts: space and matter.
Unique infinite reality or unique physical reality or simply physical reality is at the same time both the basis and the whole of the universe. Natural laws are only attributes of this unique infinity, which generates through internal division (through Plato's monads or diereses) all finite phenomena creating what we call space and matter."
(From ?The Basics of the Science of Time?)
While reading Cantor's ?Diagonalization Argument?, I realized that it contains nothing which can be taken for granted, but that this proof must be analyzed in a classical manner, statement by statement, symbol by symbol, walking through it on foot, using small steps. This manner is necessary, among other reasons, because the essence of every trick, particularly an intellectual one - lies in the illusion of the apparent.
I have accepted the verification of Cantor's proof (theorem) as something entirely personal because, if it is true that there is more than one infinite in arithmetic, then my effort is pointless, my theory of time incorrect, and mathematics and physics will forever remain two fundamentally unrelated sciences.
For the sake of continuity, Cantor's proof will first be presented here in its entirety, and then analyzed in detail, and finally we will present our own conclusion to the ?counting of all decimal numerals? which is in accordance with Mellis' sound minded principle by which ?infinities cannot coexist?.
"Ontology of Time is a new stage of Human Knowledge where Time is finally understood. Time is exactly what was in long history of Metaphysics mistakenly named Non-Being, or in eastern Religions and Philosophies ? Nothingness, Emptiness. However, from non-spatiality and non-corporeality (the key properties of Non-Being) isn't necessarily following the ?non-existence'. The Emptiness and Nothingness are relative notions dependent on fullness and ?somethingness? and are not adequate for what they should signify. "
"The law of continuity ... consists of ... that each quantity, in experiencing a transition from one magnitude into another, must pass through all the intermediary quantities of the same sort. This is usually expressed by stating that the transition occurs through intermediate stages. Maupertuis considered these stages to be a number of minute additions occurring in a moment of time. He thought that the law must be violated at the same time for it is violated equally by the smallest leap or the greatest leap, since the concepts of small and great are quite relative. He was right if the term 'stage' denotes an instantaneous increment in any quantity. Really, it should be so conceived that particular states correspond to particular instants, whereas increases or decreases correspond exclusively to very small continuous intervals of time".
"I will not work for the present no more, I am working for the future"- said Tesla to journalists gathered in New York City more than seven decades ago.- "The future is mine!" Inventor of alternating current, polyphase engines and generator, reversible magnetic field, radio, teleautomatics, inventor, on whose patents energetics of XX century is properly based, worked alone on explanation of cosmic processes during decades, having a desire to combine material and spiritual theoretically like he did it in his practical discoveries.
"Electromagnetic spheres which represent the inner configuration of the one natural continuum are the elements of what we call "space" in today's physics. The laws of deformation of the basic space configuration are what we call "time". Time is not substantial in terms of our perception of matter and we have defined it as a pure number, or relation between two or more homogeneous EM-fields. If your change those fields you are changing the local time as well."
'The transformation process of informational society into a scientific one is not guided by philosophy, or more precisely, is not guided by any kind of the explicated ontology which can be a good enough foundation of the social and individual life sense, the sense of the scientific progress, ethics, aesthetics and values in general. But, starting from Einstein's controversial belief that "physics is an ontological science", or the science which deals with being, we would very quickly realize what we really need to comprehend, the essence of our technology based civilization and to establish its conscious development control. That what we need is the universal thought or unified comprehension of humanities and exact sciences at the ontological level, i.e. their synthesis in a "New Ontology".