Scanning the structure of ill‐known spaces: Part 3. Distribution of topological structures at elementary and cosmic scales

Bounias, M.; Krasnoholovets, Volodymyr

doi:10.1108/03684920310483144

Cited by 27 publications

(57 citation statements)

References 11 publications

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“…Empty object corresponds to the anti-De Sitter bulk space in the Randall-Sundrum model [12] for gravity. In the same way, the surrounding object can extend into empty object by the decomposition of space dimension as described by Bounias and Krasnoholovets [13], equivalent to the Randall-Sundrum model. The g is in the bulk space, which is the warped space (transverse radial space) around 2 10 .…”

Section: Cosmologymentioning

confidence: 99%

The Light-Dark Dual Universe for the Big Bang and Dark Energy

Chung¹,

Krasnoholovets²

2013

JMP

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In the proposed light-dark dual universe, the light universe is the observable universe with light and kinetic energy that fueled the Big Bang, and the dark universe without light and kinetic energy has been observed as dark energy since about 9 billion years after the Big Bang. The light-dark dual universe started from the zero-energy universe through the four-stage cyclic transformation. Emerging from the zero-energy universe, the four-stage transformation consists of the 11D (dimensional) positive-negative energy dual membrane universe, the 10D positive-negative energy dual string universe, the 10D positive-negative energy dual particle universe, and the 4D (light)-variable D (dark) positive-negative energy dual particle asymmetrical universe. The transformation can then be reversed back to the zero-energy universe through the reverse four-stage transformation. The light universe is an observable four-dimensional universe started with the inflation and the Big Bang, and the dark universe is a variable dimensional universe from 10D to 4D. The dark universe could be observed as dark energy only when the dark universe turned into a four-dimensional universe. The four-stage transformation explains the four force fields in our universe. The theoretical calculated percentages of dark energy, dark matter, and baryonic matter are 72.8. 22.7, and 4.53, respectively, in nearly complete agreement with observed 72.8, 22.7, and 4.56, respectively. According to the calculation, dark energy started in 4.47 billion years ago in agreement with the observed 4.71 ± 0.98 billion years ago. The zero-energy cyclic universe is based on the space-object structures.

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Section: Cosmologymentioning

confidence: 99%

The Light-Dark Dual Universe for the Big Bang and Dark Energy

Chung¹,

Krasnoholovets²

2013

JMP

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“…The Euler-Lagrange equations lead to the same solutions, as is the case of the non-relativistic Lagrangian (8).…”

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confidence: 67%

“…An unknown space can be explored through scanning operators and examined with respect to such fundamental notions as measure, distance, dimensionality, fractality and topology. These notions were revised a broad sense of totally topologically ordered space by Michel Bounias and the author [6][7][8][9] with the purpose to analyse the constitution of ordinary physical space.…”

Section: A Submicroscopic Conceptmentioning

confidence: 99%

On Resolving the Crisis in Particle Physics Associated with the Fall of Supersymmetry

Krasnoholovets

2014

IFSL

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Abstract. Classical mechanics of a particle was gradually complicated and expanded by adding new and new attributes, which finally brought to the situation that in principle cannot be verified experimentally. Here, a possible scenario for the further development of particle physics is suggested, which is based on a deterministic submicroscopic concept that has been developing by the author. Provisions of particle physics related to supersymmetryIn classical mechanics the state of a particle is determined exactly and all observables take exact values. In the gravitation physics an important role plays spacetime, which in the formalism of general relativity became a smooth manifold with a pseudo-Riemannian metric of signature (+, -, -, -). Such an approach made it possible to talk about the gravitation as a purely geometric phenomenon, a manifestation of the curvature of spacetime. Einstein interpreted the as the gravitational potentials and showed that in matter-free regions of spacetime they satisfy where R are the components of the Ricci tensor. These are the Einstein equations. Unlike the Maxwell equations they are nonlinear in the Contrary to the gravitation physics, quantum physics uses the mathematical model in which the states are believed causal and deterministic until measurements are not made. This is the Copenhagen interpretation. One of the triumphs of quantum theory and the Copenhagen interpretation was an introduction of the wave-particle duality of light; in particular, such interpretation was used to explain the phenomenon of the diffraction of light [1,2]. The development of mathematics associated with quantum phenomena and the introduction of metric of spacetime was consistently described by Varadarajan [3]. A quantum system is described mathematically by using a complex separable Hilbert space H. The states of the system are the points of the projective space P(H) of H. In a one-dimensional subspace of H there is a basis vector  of norm 1. If the observable (operator) A has a discrete spectrum with eigenvalues A1, A2,… and corresponding (unit) eigenvectors Then a measurement of A in the state  will give the value Ai with probability where i =1, 2, ... The complex number is called the probability amplitude, so that quantum probabilities are computed as squares of absolute values of complex probability amplitudes. Since basis vectors  i are orthonormal basis of H, the following normalization relationship is hold: A special property revealed in particles was named "spin". From the mathematical point of view, spin systems of N particles are systems in which all observables have exactly N values. The Hilbert space can then be taken to be C N with the standard scalar product. The observables are then N x N Hermitian matrices whose spectra are the sets of values of these observables. The determination of states is made by measurements of observables with exactly N distinct values. Although the quantum observables do not form an algebra, they are the real elements of a complex algebra. Thus one can ...

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“…Very recently a rigorous mathematical theory of the real physical space has been developed by Bounias and Krasnoholovets [12][13][14]. The theory shows that the real space represents a mathematical lattice, called the tessellattice, packing with elementary cells whose size can be estimated as the Planck one, ∼ 10 −35 m. The tessellattice represents a degenerate space-time, i.e.…”

Section: Space Structure and Quantum Mechanicsmentioning

confidence: 99%

An extended interpretation of the thermodynamic theory, including an additional energy associated with a decrease in mass

Krasnoholovets¹,

Tane²

2006

IJSPM

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Abstract. Although its practical efficiency is unquestionable, the thermodynamic tool presents a slight inconsistency from the theoretical point of view. After exposing arguments, which explain this opinion, a suggestion is put forward to solve the problem. It consists of linking the mass-energy relation ±∆m c 2 to the laws of thermodynamics. This combination results in a clarification of the theory and opens a bridge between thermodynamics and gravitation. It is shown that the submicroscopic consideration, which is based on the cellular concept of the real physical space when the space is treated as the tessellation lattice, indeed strongly supports the idea of a variation in mass in thermodynamic processes.

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Scanning the structure of ill‐known spaces: Part 3. Distribution of topological structures at elementary and cosmic scales

Cited by 27 publications

References 11 publications

The Light-Dark Dual Universe for the Big Bang and Dark Energy

The Light-Dark Dual Universe for the Big Bang and Dark Energy

On Resolving the Crisis in Particle Physics Associated with the Fall of Supersymmetry

An extended interpretation of the thermodynamic theory, including an additional energy associated with a decrease in mass

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