Fundamental Theoretical Physics contains sequences of theories, each of which is explained by previous ones by rules of the classical logic. For example, optics is absorbed by the theory of electromagnetism, classical mechanics - by the special theory of relativity and quantum theory, the theory of electromagnetism and weak interactions - by the theory of electroweak interactions of Sheldon Glashow and so on. That means that basic notions and statements of every subsequent theory are more logical than basic notions and axioms of the preceding one.
When these basic elements of a theory become absolutely logical, i.e. when they become notions and rules of classical logic, theoretical physics will come to an end, it will rather be logic than physics.
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I call any subjects, connected with an information the informational objects.
For example, it can be a physical device, or an incunabulum with ancient texts, or computer disks and gramophone records, or people, carrying knowledge about events of their lives, or trees, on cuts which the annual rings tell about past climatic and ecological changes, or stones with imprints of plants and animals which became extinct long ago, or minerals, telling about geological cataclysms, or celestial bodies, carrying information about a remote distant Universe of past, etc., etc.
It is clear that information received from such informational object can be expressed by a text which is
made of sentences. I call a set of sentences expressing an information about some informational object the recorder of this object.
Obviously, the following conditions are satisfied:
I. A recorder can not keep logically (hereafter refers to the classical propositional logic) inconsistent sentence.
II. If a recorder contains some sentence then this recorder contains all propositional consequences of that sentence.
+III. If recorder $a$ contains sentence "recorder $b$ contains sentence $A$" then recorder $a$ contains sentence $A$.
For example, if recorder $a$ contains sentence "recorder $b$ contains sentence "Big Theorem is proved" " then recorder $a$ contains sentence "Big Theorem is proved".
Some recorders systems form structures similar to clocks. The following results are obtained from the logical properties of a set of recorders (Please, see details in G. Quznetsov, Logical Foundation of Theoretical Physics, Nova Sci. Publ., NY (2006), p.p.27-67). Then expression: "LFTP" means: "G. Quznetsov, Logical Foundation of Theoretical Physics, Nova Sci. Publ., NY (2006)", and "PTGT" means: "G. Quznetsov, Probabilistic Treatment of Gauge Theories, in series Contemporary Fundamental Physics, ed. V. Dvoeglazov, Nova Sci. Publ., NY (2007)").
First, all such clocks have the same direction, i.e. if an event expressed by sentence $A$ precedes an event expressed by sentence $B$ according to one of such clocks then it is true according to the others.
Secondly, time is irreversible according to these clocks, i.e there's no recorder which can receive information about an event that has happened until this event really happens. Thus, nobody can come back to the past or receive information from the future.
Thirdly, a set of recorders is naturally embedded into metrical space, i.e. all four axioms of metrical space are derived from logical properties of the set of recorders.
Fourthly, if this metrical space is Euclidean, then the corresponding "space and time" of recorders obeys to transformations of the complete Poincare group. In this case Special Theory of Relativity follows from the logical properties of information.
If this metric space is not Euclidean then suitable non-linear geometry may be built in this space. And an appropriate version of the General Relativity Theory can be implemented in that space-time.
Therefore, basic properties of time - unidirectionality and irreversibility, metrical properties of space and principles of the theory of relativity derive from logical properties of the set of recorders. Thus, if you have some set of objects, dealing with information, then "time" and "space" are inevitable. And it doesn't matter whether this set is part our world or some other worlds, which don't have a space-time structure initially.
I call such "Time" the Informational Time.
Since we get our time together with our information system, all other notions of time (thermodynamical time, cosmological time, psychological time, quantum time etc.) should be defined by that Informational Time.
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As it is well known, classical propositional logic can be formulated on the basis of the properties of Boolean function. If the range of this function will be extended to the interval [0, 1] of the real number
axes then we shall obtain the function which has all properties of the function of probability. Logical analogue of Law of Large Numbers in form of Bernoulli is derived\footnote{LFTP, pp.51-79} for
this function. So, probability theory is a generalization of classical propositional logic and, therefore, it
is also propositional logic.
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I consider the events, each of which can bound to a certain point in space-time. Such events are called
pointlike events (H. Bergson, Creative Evolution. Greenwood press, Wesport, Conn., (1975). A. N. Whitehead, Process and Reality. Ed. D. R. Griffin and D. W. Sherburne. The Free Press, N.Y. (1978). M. Capek, The Philosophical Impact of Contemporary Physics. D. Van Nostrand, Princeton, N.J. (1961). M. Capek. Particles or events. in Physical Sciences and History of Physics. Ed. R. S. Cohen and M. W. Wartorsky. Reidel, Boston, Mass. (1984), p.1. E. C. Whipple jr. Nuovo Cimento A, 11, {\bf 92} (1986). J. Jeans, The New Background of Science. Macmillan, N. Y. (1933)). Combinations (sums, products, supplements) of such events are events, called physical events.
The probability density of pointlike events in space-time is invariant under Lorentz transformations.
But probability density of such events in space at a certain instant of time is not invariant under these
transformations. I consider the pointlike events for which density of probability in space at some instant of
time is the null component of a 3+1-vector function which is transformed by the Lorentz formulas (PTGT, pp.23-37), I call these probabilities the traceable probabilities.
It is known that Dirac's equation contains four anticommutive complex 4X4 matrices. And this equation is not invariant under electroweak transformations. But it turns out that there is another such matrix anticommutive with all these four matrices. If additional mass term with this matrix will be added to Dirac's equation then the resulting equation shall be invariant under these transformations (PTGT, pp.95-131). I call these five of anticommutive complex 4X4 matrices Clifford pentade. There exist only six Clifford pentads (Madelung E. Die Mathematischen Hilfsmittel des Physikers. Springer Verlag, (1957), p.29.; G. Quznetsov, Progress in Physics, v2, (2009), pp.96-106). I call one of them the light pentad, three - the colored pentads, and two - the gustatory pentads.
The light pentad contains three matrices corresponding to the coordinates of 3-dimensional space, and two matrices relevant to mass terms - one for the lepton and one for the neutrino of this lepton.
Each colored pentad also contains three matrices corresponding to three coordinates and
two mass matrices - one for top quark and another - for bottom quark.
Each gustatory pentad contains one coordinate matrix and two pairs of mass matrices (LFTP, pp.143-144) - these pentads are not needed yet.
It is proven (G. Quznetsov, Progress in Physics, v2, (2009), pp.96-106) that any square-integrable
4x1-matrix function with bounded domain (Planck's function) obeys some generalization of Dirac's equation with additional gauge members. This generalization is the sum of products of the coordinate matrices of the light pentad and covariant derivatives of the corresponding coordinates plus product of all the eight mass matrices (two of light and six of colored) and the corresponding mass numbers.
If in this equation all colored mass numbers are equal to zero then we obtain Dirac's equation for leptons with gauge members which are similar to electroweak fields (PTGT, pp.95-131). This equation is invariant under electroweak transformations. As follows from this equation, mass of neutrino is equal to the mass of bare lepton of that neutrino\footnote (PTGT, pp.100-116). It also opens a new way to explain the dark energy and the dark mass. The Klein-Gordon type equation with nonzero mass is obtained for gauge fields $W$ and $Z$ (PTGT, pp.123-129).
If lepton's and neutrino's mass terms are equal to zero in this equation then we obtain the Dirac's equation with gauge members similar to eight gluon's fields. (G. Quznetsov, Progress in Physics, v2, (2009), pp.96-106). And oscillations of color states of this equation bend space-time. This bend gives rise to the effects of redshift, confinement and asymptotic freedom, and Newtonian gravity turns out to be a continuation of subnucleonic forces.
If probability of a pointlike event is limited in space-time then density of that probability at certain instant of time is represented as a square of 4x1 complex matrix Planck's function which obeys an equation of Dirac's type.
Thus, concepts and statements of Quantum Theory are concepts and statements about the probability of pointlike
events and their ensembles.
Elementary physical particle in vacuum behaves like these probabilities. For example, accordance to doubleslit experiment (PTGT, pp.50-59), if partition with two slits is placed between a source of elementary particles and a detecting screen in vacuum then interference occurs. But if this system will be put in a cloud chamber, then trajectory of particle will be clearly marked with drops of condensate and any interference will disappear. It seems that a physical particle exists only in the instants of time when some events happen to it. And in the other instants of time the particle does not exist, but the probability of some event to happen to this particle remains.
Thus, if no event occurs between an event of creation of a particle and an event of detection of it, then the particle does not exist in this period of time. There exists only the probability of detection of this particle at some point. But this probability, as we have seen, obeys the equations of quantum theory and we get the interference. But in a cloud chamber events of condensation form a chain meaning the trajectory of this particle. In this case the interference disappears. But this trajectory is not continuous - each point of this line has an adjacent point. And the effect of movement of this particle arises from the fact that a wave of probability propagates between these points.
Consequently, the elementary physical particle represents an ensemble of pointlike events associated with probabilities. And charge, mass, energy, momentum, spins, etc. represent parameters of distribution of these probabilities.
It explains all paradoxes of quantum physics. Schrodinger's cat lives easily without any superposition
of states until the microevent awaited by everyone occures. And the wave function disappears without
any collapse in the moment when event probability disappears after the event occurs.
Thus, the fundamental entities of nature are not particles and fields, but pointlike events and probability connecting them.
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Hence, the fundamental theoretical physics is one among of others extensions of classical propositional logic. Therefore, experimental verification of the results of this work is equivalent to experimental verification of propositional logic.
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