scholarly journals A MODEL OF PHYSICAL SPACE-TIME AS A TRAJECTORY OF A RANDOM PROCESS IN EXTERNAL PARAMETRIC TIME

Metaphysics ◽  
2020 ◽  
pp. 50-61
Author(s):  
A. V Koganov

A model of physical space-time in the form of a trace from a random walk on the support of some finitely generated algebra is considered. The generating set of elements is considered as a set of initial events of the physical world, and all points generated by wandering are interpreted as their consequences. The special properties of such a model allow us to obtain interesting conclusions about the possible causes of the pseudo-Euclidean metric of our world and its 3 + 1 dimension. Such effects as the expansion of the Universe with low acceleration, gravitational deformation of the metric and the superposition of the states of quantum particles get their explanation. There is an effect of duality of the description of physical interactions as long-range or short-range interaction.

Author(s):  
Petri Tuisku ◽  
Tuomas K Pernu ◽  
Arto Annila

The concept of time is examined using the second law of thermodynamics that was recently formulated as an equation of motion. According to the statistical notion of increasing entropy, flows of energy diminish differences between energy densities that form space. The flow of energy is identified with the flow of time. The non-Euclidean energy landscape, i.e. the curved space–time, is in evolution when energy is flowing down along gradients and levelling the density differences. The flows along the steepest descents, i.e. geodesics are obtained from the principle of least action for mechanics, electrodynamics and quantum mechanics. The arrow of time, associated with the expansion of the Universe, identifies with grand dispersal of energy when high-energy densities transform by various mechanisms to lower densities in energy and eventually to ever-diluting electromagnetic radiation. Likewise, time in a quantum system takes an increment forwards in the detection-associated dissipative transformation when the stationary-state system begins to evolve pictured as the wave function collapse. The energy dispersal is understood to underlie causality so that an energy gradient is a cause and the resulting energy flow is an effect. The account on causality by the concepts of physics does not imply determinism; on the contrary, evolution of space–time as a causal chain of events is non-deterministic.


Consideration is given to the Cauchy problem for perfect fluid space-times which evolve from an initial singularity of conformal type. The evolution equations for the conformally transformed, unphysical geometry are shown to be expressible as a first order symmetric hyperbolic system, albeit with a singular forcing term. It is concluded that the 3-metric on the initial hypersurface of the unphysical space-time constitutes the freely specifiable initial data. Subject to Penroses’s Weyl Curvature Hypothesis, according to which the Weyl tensor was initially zero, it follows that the physical space-time is Robertson–Walker. This may provide a basis for a new explanation for the large-scale isotropy of the universe.


2011 ◽  
Vol 03 ◽  
pp. 195-202
Author(s):  
M. D. MAIA

The concept of deformation of Riemannian geometry is reviewed, with applications to gravitation and cosmology. Starting with an analysis of the cosmological constant problem, it is shown that space-times are deformable in the sense of local change of shape. These deformations leave an observable signature in the space-time, characterized by a conserved tensor, associated with a tangent acceleration, defined by the extrinsic curvature of the space-time. In the applications to cosmology, we find that the accelerated expansion of the universe is the observable effect of the deformation, dispensing with the cosmological constant and its problems.


Author(s):  
Oleg V. Avchenko ◽  

Two narratives – natural science and religious, intersect in the area of ​​unobserv­able ontology – an immaterial, transcendental, but real area that paradoxically exists outside and inside ordinary physical space-time. It is assumed that mathe­matical constructs, physical laws, physical constants, quantum objects, and even biological laws can be associated with this area. It is argued that physical laws are not invented by man, but are discovered, since they contain physical con­stants measured in special experimental works. Universal constants were not invented for reasons of convenience – physics accepts them as an inevitable con­sequence of the coincidence of the results of all special measurements. Observa­tional data are presented that indicate an extremely small change in fundamental constants or even their constancy over the entire time of the existence of the Uni­verse, although this interesting problem cannot be considered finally solved. The ontology of quantum objects is considered within the framework of Seval­nikov's polyiontic paradigm, according to which two modes are distinguished – potential and actual. The potential existence of quantum objects is described by the Schrödinger wave function, and the actual one appears during the transition from the spectrum of possible states to the only observable one. It is emphasized that potential being does not belong to the classical space, but is in an unobserv­able ontology. The observed state, on the contrary, is already in ordinary space – time and can be recorded by the device. This determines the existence of a spe­cial transcendental layer of reality, along with the material, which may indicate a certain duality in the structure of the Universe. Then it should be assumed that our Universe is not a universal, but a multiverse – a set of different worlds onto­logically having a different nature. In addition, the polyiontic paradigm leads to the idea that, at the quantum level, matter can be derived from information hid­den in an unobservable ontology.


2016 ◽  
Vol 94 (12) ◽  
pp. 1265-1274
Author(s):  
Carlos Blanco-Pérez

Based upon the idea of vacuum quanta, the paper proposes a model for the action of the gravitational force. This hypothesis offers a mechanistic theory of the local curvature of space–time and it leads to an explanation of the expansion of the universe.


2010 ◽  
Vol 19 (14) ◽  
pp. 2281-2287 ◽  
Author(s):  
ISHWAREE P. NEUPANE

Generic cosmological models derived from higher-dimensional theories with warped extra-dimensions have a nonzero cosmological constant-like term induced on the 3 + 1 space–time, or a physical three-brane. In the scenario where this 3 + 1 space–time is an inflating de Sitter "bran" embedded in a higher-dimensional space–time, described by warped geometry, the four-dimensional cosmological term is determined in terms of two length scales: one is a scale associated with the size of extra-dimension(s) and the other is a scale associated with the warping of extra-space(s). The existence of this term in four dimensions provides a tantalizing possibility of explaining the observed accelerating expansion of the universe from fundamental theories of gravity, e.g. string theory.


2021 ◽  
Author(s):  
Subhash Kak

This paper investigates evolution of a physical system through intermediate noninteger dimensions to provide a phenomenological explanation for the system’s emergent properties. In recent papers it was shown that physical space is associated with noninteger dimensionality and its value is associated with the strength of attractive inverse square law and this has applications to diverse fields including the design of metamaterials. Here this information-theoretic analysis is applied to cosmology to yields a novel noninteger dimensional explanation for filaments and sheets of matter, inflation, and the accelerating expansion of the universe, without the need to postulate inflation field or dark energy as the drivers of this expansion. Furthermore, the analysis shown that in the future as the zero-dimension residual potential declines further, the expansion will slow and then reverse. Evolution across noninteger spaces has potential relevance for the study of materials that emerge from compressing three-dimensional volumes into lower dimensions.


2021 ◽  
Author(s):  
Subhash Kak

This paper investigates evolution of a physical system through intermediate noninteger dimensions to provide a phenomenological explanation for the system’s emergent properties. In recent papers it was shown that physical space is associated with noninteger dimensionality and its value is associated with the strength of attractive inverse square law and this has applications to diverse fields including the design of metamaterials. Here this information-theoretic analysis is applied to cosmology to yields a novel noninteger dimensional explanation for filaments and sheets of matter, inflation, and the accelerating expansion of the universe, without the need to postulate inflation field or dark energy as the drivers of this expansion. Furthermore, the analysis shown that in the future as the zero-dimension residual potential declines further, the expansion will slow and then reverse. Evolution across noninteger spaces has potential relevance for the study of materials that emerge from compressing three-dimensional volumes into lower dimensions.


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