Here we analyze the physical concepts of non-locality, multi-universe, and cosmological principle in the framework of a space-time discrete model previously developed. In previous developments of this model we have elucidated as derivative concepts those of time, space-time, reference frame, particle, interaction between systems of particles, field, interaction between fields, detector of particle, and wave function. We start from the primitive concept of preparticle and four postulates alluding simple concepts. The fundamental postulate says that space-time points can be represented by equivalent classes of points of crossing between particles having the same structure. In this way each point of space-time is represented by an equivalent class corresponding to a different structure from the one of any other equivalent class representing a space-time point. We have considered a new way to define system of observation and detector of particles, which leads to non- local properties of the space-time model considered. Finally we have speculated about dark matter and dark energy in the frame work of our model.
Here we analyze the physical concepts of non-locality, multi-universe, and cosmological principle in the framework of a space-time discrete model previously developed. In previous developments of this model we have elucidated as derivative concepts those of time, space-time, reference frame, particle, interaction between systems of particles, field, interaction between fields, detector of particle, and wave function. We start from the primitive concept of preparticle and four postulates alluding simple concepts. The fundamental postulate says that space-time points can be represented by equivalent classes of points of crossing between particles having the same structure. In this way each point of space-time is represented by an equivalent class corresponding to a different structure from the one of any other equivalent class representing a space-time point. We have considered a new way to define system of observation and detector of particles, which leads to non- local properties of the space-time model considered. Finally we have speculated about dark matter and dark energy in the frame work of our model.
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 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.
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.
The model of the physical system with discrete interactions is based on the postulates that (i) parameters of the physical system are defined in process of its interaction; (ii) the process of interaction is discrete. Consequently ordering of the events in the system is not automatically implied based on the values of time, but must be specified explicitly. This suggests the specific logic of events as well as complex character of the function, which describes stochastic behavior of the system, hence the parameters of the system are defined by Hermitian operators in the Hilbert space of functions. The model gives an essential way to introduce the basic notions and obtain the results of the quantum theory, to derive the meaning of the main physical parameters, such as momentum or electric charge. Based on the proposed postulates, Schrodinger equation for the particle is deduced in a way similar to inferring of Smoluchowski equation in the classical statistical mechanics. Similarly, the equations of motion of linear fields are established by considering Smoluchowski-type equations for amplitudes of harmonics. The concept of discrete interaction gives a way to de-couple the object of experiment and a testing device (the traditional source of controversy in quantum theory), though at expense of limitation of the principle of locality.
Collapse models possibly suggest the need for a better understanding of the structure of space-time. We argue that physical space, and space-time, are emergent features of the Universe, which arise as a result of dynamical collapse of the wave function. The starting point for this argument is the observation that classical time is external to quantum theory, and there ought to exist an equivalent reformulation which does not refer to classical time. We propose such a reformulation, based on a non-commutative special relativity. In the spirit of Trace Dynamics, the reformulation is arrived at, as a statistical thermodynamics of an underlying classical dynamics in which matter and non-commuting space-time degrees of freedom are matrices obeying arbitrary commutation relations. Inevitable statistical fluctuations around equilibrium can explain the emergence of classical matter fields and classical space-time, in the limit in which the universe is dominated by macroscopic objects. The underlying non-commutative structure of space-time also helps understand better the peculiar nature of quantum non-locality, where the effect of wave-function collapse in entangled systems is felt across space-like separations.
This work presents a unified, realistic, and mechanically grounded interpretation of fundamental physics across all scales, from quarks and elementary particles to atoms, macroscopic bodies, planetary motion, and black holes. The proposed framework provides a single coherent physical description capable of reproducing and explaining, within a common dynamical structure, the full range of phenomena traditionally treated separately by general relativity, quantum mechanics, and quantum electrodynamics. Within this approach, long-standing conceptual problems such as wave–particle duality, quantum interference, entanglement, and wavefunction collapse are not postulated as fundamental features of nature, but emerge naturally as dynamical properties of a physically real medium. The apparent dual behavior of matter and radiation, as well as nonlocal quantum correlations, arise from coherent and topologically constrained excitations of this medium, without invoking probabilistic ontologies or nonphysical abstractions. The theory is based on a revised physical concept of space, treated as a real superfluid medium endowed with density, elasticity, viscosity, permittivity, permeability, and a very small but non-zero electrical conductivity. In this model, space is no longer a passive geometric background, but an active physical system capable of storing, transmitting, and dissipating energy.Mass is interpreted as an isotropic compression of the superfluid, electric charge as an oriented torsional configuration, and fields as elastic stress and vorticity distributions of the medium itself. Electromagnetic and gravitational waves are described as propagating perturbations of the superfluid, while particles correspond to stable solitonic configurations sustained by the medium dynamics.At the microscopic level, starting from classical fluid equations (continuity and Euler equations) and applying the Madelung transformation, the Schrödinger equation is shown to emerge as a compact complex representation of the underlying real fluid dynamics, rather than as a fundamental postulate. Quantum phenomena such as quantization, tunneling, spin, and exclusion principles follow from stability, coherence, and topological constraints of solitonic wave structures. On cosmological scales, the same framework provides a unified interpretation of redshift, large-scale expansion phenomena, and the cosmic microwave background as cumulative dynamical and dissipative effects of wave propagation within the superfluid medium, rather than as consequences of metric expansion alone. Effects commonly attributed to dark matter and dark energy are reinterpreted as emergent manifestations of spatial density gradients, elastic stresses, and dissipative properties of the superfluid, without introducing additional unknown components. A wide range of experimentally verified phenomena—including the photoelectric effect, Compton scattering, Zeeman–Stark effects, the Aharonov–Bohm effect, Casimir effect, Unruh radiation, and cosmological attenuation effects—are consistently described within this unified framework. The proposed model offers an alternative foundational paradigm for physics, in which space, matter, and interactions emerge from a single physically intelligible dynamical system, restoring a continuous and causal description of nature from microscopic to cosmological scales.
This paper aims to point out that a wave function is a description of a quantum spatiotemporal entanglement and the transformation between time and space. In any quantum mechanical representation, the real part of the wave function represents the space wave and the imaginary part represents the time wave, and they are the space-time itself. Time wave is not limited by space and dominates the nonlocality and integrity of a quantum. Matter wave is a four-dimensional space-time wave, and the basic unit of vacuum is a four-dimensional space-time element stationary relative to the observer. The essence of quantum measurement or interaction is that a conjugate condensation equivalent to that determined by inner product operation occurs between Space-time waves. Particle property is only the localization effect of quantum global collapse when quantum position measurement or equivalent interaction is made.