The current situation of the search for the essence of space-time relations reminds the early history of the search for the essence of phlogiston, which was resolved by the statistical theory of Gibbs ensembles, the definition of thermodynamic concepts and, in particular, the concept of temperature as the average kinetic energy in the ensemble. Thermodynamics has found its justification in statistical physics but space-time relationships of the macrocosm it is possible that it will find its rationale in the inevitable processes of condensation and localization in the environment of prameter and averaging the probabilistic parameters of the microcosm in the description of these processes.
The current situation of the search for the essence of space-time relations reminds the early history of the search for the essence of phlogiston, which was resolved by the statistical theory of Gibbs ensembles, the definition of thermodynamic concepts and, in particular, the concept of temperature as the average kinetic energy in the ensemble. Thermodynamics has found its justification in statistical physics but space-time relationships of the macrocosm it is possible that it will find its rationale in the inevitable processes of condensation and localization in the environment of prameter and averaging the probabilistic parameters of the microcosm in the description of these processes.
The well - known philosophical formula: Space and time are universal forms of existence of matter forces us to introduce several of representation of our knowledge about space-time relations, which we will conditionally call levels of ontologization of our understanding of these relations. These can be considered as ontological sections in the process of cognition of the essence of spatiotemporal relations and the formation of their conceptual certainty. A simple example is used to model the process of formation of spatiotemporal certainty in the Leibniz aspect: the transition from the quantum level (micro) to the level of classical mechanics (macro). In this regard, we can talk about the two-phase existence of matter. In addition, an attempt was made to outline the solution of space-time problems after work: Contextuality of one particle, nonlocality of two particles, entanglement, Wheeler's experiments with delay of choice, FWT and so on ...[12]. The current situation of the search for the essence of space-time relations resembles the early history of the search for the essence of phlogiston, which was resolved by the statistical theory of Gibbs ensembles, the definition of thermodynamic concepts and, in particular, the concept of temperature as the average kinetic energy of the ensemble. It is quite possible that the spatiotemporal relations are also some averages from the eigenvalues of the quantum object operators.
The well - known philosophical formula: Space and time are universal forms of existence of matter forces us to introduce several of representation of our knowledge about space-time relations, which we will conditionally call levels of ontologization of our understanding of these relations. These can be considered as ontological sections in the process of cognition of the essence of spatiotemporal relations and the formation of their conceptual certainty. A simple example is used to model the process of formation of spatiotemporal certainty in the Leibniz aspect: the transition from the quantum level (micro-) to the level of classical mechanics (macro-). In this regard, we can talk about the two-phase existence of matter. In addition, an attempt was made to outline the solution of space-time problems after work: Contextuality of one particle, nonlocality of two particles, entanglement, Wheeler's experiments with delay of choice, FWT and so on ...[12]. The current situation of the search for the essence of space-time relations resembles the early history of the search for the essence of phlogiston, which was resolved by the statistical theory of Gibbs ensembles, the definition of thermodynamic concepts and, in particular, the concept of temperature as the average kinetic energy of the ensemble. It is quite possible that the spatiotemporal relations are also some averages from the eigenvalues of the quantum object operators.
Every vertex of the magic cube of physics discussed so far introduced a major element in the development of physics and the whole of science. Mechanics introduced the basic concept of equations of motion, or time-evolution of a physical system given certain initial condition and the associated idea of determinism, even with its generalization in the form of chaos, the dependence of the outcomes of the temporal evolution on the initial conditions. These concepts taken for many particles, or elements of a physical system, led to the probabilistic description of many particle systems, in the realm of statistical physics and thermodynamics, whereby the averages over time of various observable quantities were related to the ensemble averages, that involve classical, so-called Kolmogorov, probability measures, at least for certain “equilibrium” situations. The second law of thermodynamics introduced the concept of entropy and its probabilistic increase, the first truly emergent, probabilistic law in physics (temperature and pressure, being other emergent quantities, apart from entropy, the measure of disorder of a statistical system). In the context of Newtonian gravity, one gets, at least in retrospect the geometric description of gravity in non-relativistic, Galilean spacetime. Galilean relativity, based on the asymmetric mixing of space and time, with the absolute, universal time, true for all observers, gets generalized in special theory of relativity to observer dependent space and observer dependent time, viewed as “slices” of a new concept of spacetime, with the new concept of causal structure, that distinguish timelike, null and spacelike events. This in turn is made into a full dynamical geometric structure of spacetime with a relativistic description of gravity stemming from curvature of spacetime, and a dynamical causal structure, tied to gravity. In our next story, the story of quantum theory, we will encounter fundamental, intrinsic probabilities, that can interfere, unlike the classical probabilities of statistical thermodynamics, and which are consistent with equations of motion of individual elements, and not, as in statistical thermodynamics, with temporal averages over the time evolution of many elements. This is the big new lesson of quantum theory, that transcends the lessons of classical spacetime physics.
"Boltzmann's problem" of statistical thermodynamics, is that of eliminating the paradoxical incompatibility of structure, existing between the irreversibility of the classical phenomenological thermodynamics, and the reversibility of any purely kinetic model, one could ever think of for these phenomena. One finds that, in order to construct kinetic "analogs" to the laws of phenomenological thermodynamics, the dynamics of large assemblies of molecules (Liouville theorem, etc,\cdots) must be completed by some hypotheses of randomness. Once established, this randomness can be followed up in its development, with no new conceptual paradox (although with great technical difficulty: there is a great amount of current work on this topic). But the introduction of randomness still raises entirely uncleared problems. Since, therefore, the kinetic foundations of thermodynamics are not sufficient in the absence of further hypotheses of randomness, are they still quite necessary in the presence of such hypotheses? Or else, could not one "short-circuit" the atoms, by centering upon any elements of randomness, for example those introduced by the process of observation? Our aim is to show (partly after Szilard) that a substantial part of the results, usually obtained through kinetic arguments, could be obtained by postulating from the outset a statistical distribution for the properties of a system, and following up with a purely phenomenological argument. The spirit of the theory is extremely close to that of the conventional (Copenhagen) approach to quantum theory, and the results are quite parallel, although the mathematics is quite different. Randomness is introduced by following the modern statistical theory of the estimation of non directly observable intensive variables of state, such as the temperature. The discussion of the methodological foundations of modern statistics can thus be translated into a full-fledged, and possibly significant , counterpart of the discussion of the kinetic foundations of thermodynamics. Statistics is thus provided with a particularly concrete example for some of its more involved methods; thermodynamics appears clarified in its classical aspects, and is further completed with an apparently new uncertainty relationship. It may also be of interest to the communication engineer to have a unified treatment of the foundations of fluctuation phenomena, and of methods of fighting noise : a discussion of entropy and information performed in this spirit, will be given in Part II of the paper.
A literature review of related articles, either by affinity or by contrast, to a fundamental theory of time and space - time previously developed. It shows how from a primitive concept of preparticle and membership relation of set theory, and four postulates that refer to simple concepts, derived concepts of time, space-time, reference frame, particle, fields, and interaction between fields are obtained. The problem of the "direction " of time is analyzed and a paradox whose solution goes against the idea that this direction is fixed by the increase of entropy prescribed by the second law of thermodynamics is examined. In our theory this direction is unique to each reference frame, and is an intrinsic property of time. Two kinds of particles are described as derived concepts, and it is shown that one of them fullfills the Bose-Einstein statistics, and the other one fullfills the Fermi-Dirac statistics. We also consider the analysis of the wave function concepts and particle detector as concepts derived from the mentioned theory. Using these concepts, the process of locating both a macroscopic body (typical location) as well as one of a microscopic scale (quantum localization) is analyzed, and the significance of the location is examined in both cases.
Current interpretations of quantum mechanics suggest that the classical concepts of space and time are not applicable to microscopic systems. Salecker and Wigner have recently proved that these concepts have no operational meaning for microsystems. Therefore, space-time descriptions may be valid only for macroscopic systems. It is here suggested that space and time themselves arise from, but do not have analogs in, the properties of microscopic particles, in the same way that thermodynamic properties arise as a result of interactions among the many actually existing particles of the universe. Neither the particles nor the interactions need to be described in spatial-temporal terms. This macroscopic interpretation of space-time seems compatible with the known properties of the physical world, suggests a more direct interpretation of the statistical nature of microscopic events, and offers a new approach to some physical problems.