scholarly journals Representation of the Universe as a Dendrogramic Hologram Endowed With Relational Interpretation

2021 ◽  
Author(s):  
Andrei Khrennikov ◽  
Oded Shor ◽  
Felix Benninger
Keyword(s):  
Quantum Physics ◽  
Dimensional Space ◽  
Bell Inequality ◽  
Order Structure ◽  
Implicate Order ◽  
Classical Quantum ◽  
The Universe ◽  
Physical Quantities ◽  
Totally Disconnected ◽  
Explicate Order

proposal for a fundamental theory is described in which classical and quantum physics as a representation of the universe as a gigantic dendrogram are unified. The latter is the explicate order structure corresponding to the purely number-theoretical implicate order structure given by p-adic numbers. This number field was zero-dimensional, totally disconnected, and disordered. Physical systems (such as electrons, photons) are sub-dendrograms of the universal dendrogram. Measurement process is described as interactions among dendrograms; in particular, quantum measurement problems can be resolved using this process. The theory is realistic, but realism is expressed via the the Leibnitz principle of the Identity of Indiscernible. The classical-quantum interplay is based on the degree of indistinguishability between dendrograms (in which the ergodicity assumption is removed). Depending on this degree, some physical quantities behave more or less in a quantum manner (versus classic manner). Ideologically, our theory is very close to Smolin’s dynamics of difference and Rovelli’s relational quantum mechanics. The presence of classical behavior in nature implies a finiteness of the Universe-dendrogram. (Infinite Universe is considered to be purely quantum.) Reconstruction of events in a four-dimensional space type is based on the holographic principle. Our model reproduces Bell-type correlations in the dendrogramic framework. By adjusting dendrogram complexity, violation of the Bell inequality can be made larger or smaller.

scholarly journals Representation of the Universe as a Dendrogramic Hologram Endowed with Relational Interpretation

Entropy ◽  
2021 ◽  
Vol 23 (5) ◽  
pp. 584
Author(s):  
Oded Shor ◽  
Felix Benninger ◽  
Andrei Khrennikov
Keyword(s):  
Quantum Physics ◽  
Dimensional Space ◽  
Bell Inequality ◽  
Order Structure ◽  
Identity Of Indiscernibles ◽  
Implicate Order ◽  
Classical Quantum ◽  
The Universe ◽  
Physical Quantities ◽  
Explicate Order

A proposal for a fundamental theory is described in which classical and quantum physics as a representation of the universe as a gigantic dendrogram are unified. The latter is the explicate order structure corresponding to the purely number-theoretical implicate order structure given by p-adic numbers. This number field was zero-dimensional, totally disconnected, and disordered. Physical systems (such as electrons, photons) are sub-dendrograms of the universal dendrogram. Measurement process is described as interactions among dendrograms; in particular, quantum measurement problems can be resolved using this process. The theory is realistic, but realism is expressed via the the Leibniz principle of the Identity of Indiscernibles. The classical-quantum interplay is based on the degree of indistinguishability between dendrograms (in which the ergodicity assumption is removed). Depending on this degree, some physical quantities behave more or less in a quantum manner (versus classic manner). Conceptually, our theory is very close to Smolin’s dynamics of difference and Rovelli’s relational quantum mechanics. The presence of classical behavior in nature implies a finiteness of the Universe-dendrogram. (Infinite Universe is considered to be purely quantum.) Reconstruction of events in a four-dimensional space type is based on the holographic principle. Our model reproduces Bell-type correlations in the dendrogramic framework. By adjusting dendrogram complexity, violation of the Bell inequality can be made larger or smaller.

scholarly journals Dendrogramic Representation of Data: CHSH Violation vs. Nonergodicity

Entropy ◽  
2021 ◽  
Vol 23 (8) ◽  
pp. 971
Author(s):  
Oded Shor ◽  
Felix Benninger ◽  
Andrei Khrennikov
Keyword(s):  
Experimental Data ◽  
Clustering Algorithms ◽  
Realistic Model ◽  
Minkowski Geometry ◽  
Ultrametric Spaces ◽  
Chsh Inequality ◽  
Classical Quantum ◽  
Basic Features ◽  
Totally Disconnected ◽  
Explicate Order

This paper is devoted to the foundational problems of dendrogramic holographic theory (DH theory). We used the ontic–epistemic (implicate–explicate order) methodology. The epistemic counterpart is based on the representation of data by dendrograms constructed with hierarchic clustering algorithms. The ontic universe is described as a p-adic tree; it is zero-dimensional, totally disconnected, disordered, and bounded (in p-adic ultrametric spaces). Classical–quantum interrelations lose their sharpness; generally, simple dendrograms are “more quantum” than complex ones. We used the CHSH inequality as a measure of quantum-likeness. We demonstrate that it can be violated by classical experimental data represented by dendrograms. The seed of this violation is neither nonlocality nor a rejection of realism, but the nonergodicity of dendrogramic time series. Generally, the violation of ergodicity is one of the basic features of DH theory. The dendrogramic representation leads to the local realistic model that violates the CHSH inequality. We also considered DH theory for Minkowski geometry and monitored the dependence of CHSH violation and nonergodicity on geometry, as well as a Lorentz transformation of data.

scholarly journals Quantum Equivalence of Information, Matter and Energy: E =i mc2 *

2020 ◽  
Vol 01 (03) ◽  
Keyword(s):  
Quantum Physics ◽  
Dimensional Space ◽  
Mirror Image ◽  
Basic Part ◽  
Dimensional Space Time ◽  
Information Pattern ◽  
Pass Through ◽  
The Individual ◽  
Time Information ◽  
The Universe

The universe as the spacetime unity of all its parts (beings) is a selfrealizing information with the quantum resonance feedback formula E =i mc2 of mass, energy and information. Being is a basic part of triune biocosmos whose quintessence is life, i.e. the informational interchange of matter and energy among directly or indirectly visible particles of universe. Information rays fulfill whole four-dimensional space-time (information pattern field) that allowed them to pass through it without obstacles and interact with matter and energy. In extreme cold quantum physics suddenly becomes visible when all moving cosmic particles cease, what only man can describe. For eample the individual mirror image (informgraph) of man is a local result of resonance of information field on bidirectional information rays, which now we can see and even photography! The observing beings detect not only light, but first of all the information rays coming from any object and moving in any direction not being restricted, what e.g. happens with light or language. The mirror picture does not contain a single human atom, because it is only the resonating information field (Figure1).

scholarly journals Generalized 2N Color Theorem

2020 ◽  
pp. 1-4
Author(s):  
Joseph Edward Brierly ◽  
Keyword(s):  
Quantum Physics ◽  
Dimensional Space ◽  
Bubble Chamber ◽  
Space Station ◽  
Three Dimensional ◽  
Physical Reality ◽  
Four Dimensions ◽  
Color Problem ◽  
Four Color Theorem ◽  
The Universe

2N-Color Theorem This article gives a standard proof of the famous Four-Color theorem and generalizes it be the 2N-Color problem. The article gives a number of possible applications of the 2N-Color problem that is the essence of orientation. Orientation is fundamental to many fields of scientific knowledge. The Fourcolor theorem applies to map making by the knowledge that only four colors are necessary to color a planar map. The Six-color theorem applies to three dimensional space implying that a space station could be ideally designed to have six compartments adjacent to one another allowing a door from any one of the compartments to the other five. The 2N-color generalization applies to the physical reality of quantum physics. Bubble chamber investigations suggest that the universe is four or more dimensions. Thus the 2N-color theorem applies to the N dimensional universe. At this time string theorists have suggested that the universe could be greater than four dimensions. Physics has not as of yet proven the exact dimension of the universe that could even be infinite as a possibility

scholarly journals Some Issues on the Foundations of Modern Cosmology, Gravitation and Quantum Physics

Universe ◽  
2020 ◽  
Vol 6 (11) ◽  
pp. 189
Author(s):  
Emilio Elizalde
Keyword(s):  
Quantum Physics ◽  
Pseudodifferential Operators ◽  
Casimir Effect ◽  
Technical Problems ◽  
High Speeds ◽  
Expansion Of The Universe ◽  
Historical Issues ◽  
The Universe ◽  
Physical Quantities ◽  
Very High

After the first clear evidence of the recession—at very high speeds—of the spiral nebulae was announced by V.M. Slipher in 1914, as a result of his work started in 1912, it still took several decades to properly understand the phenomenon in terms of an expansion of the Universe. Some historical issues around that crucial discovery and the contemporary attempts at determining the scale of the visible Universe will be discussed. Presently, very important questions to answer are: What is the precise value of the expansion rate? What drives the acceleration of the Universe’s expansion? The latter is called dark energy, but what is it actually? The possibility that this could be the result of a sort of Casimir effect at the cosmological level has not been discarded, yet. One of the main technical problems in tackling this issue is constituted by the regularization and corresponding renormalization procedures. Beautiful but rather non-trivial mathematics, involving the zeta function of pseudodifferential operators (associated with physical quantities), are key in this respect. A discussion of those items is provided here.

scholarly journals The Universe and the limits of Knowledge: Bohm’s Notion of the Implicate Order of Nature

2020 ◽  
pp. 32
Author(s):  
Dimitrios Galanis-Kolintzas
Keyword(s):  
Elementary Particles ◽  
Single Origin ◽  
Implicate Order ◽  
Limits Of Knowledge ◽  
The Common ◽  
Structure Of Matter ◽  
The Universe ◽  
Explicate Order

According to Bohm the whole scientific description of the Universe is governed by fragmentation of our perception of what reality is. Physics’ tendency of acknowledging the ultimate structure of matter in the elementary particles has caused a widespread fragmentary view of the Universe. Thus, Physics seems to be unable to conceive the “undivided wholeness of the universe” and to acknowledge in that Wholeness the common, single bed of the whole of reality. According to Bohm that single bed of nature, Implicate Order, is the single origin of both mind and matter. Inside the multidimensional Implicate Order, a universal enfoldment of everything prevails. The Implicate Order coheres deterministically to the Universe and the depths of its inwardness are totally unknown to us, since we humans are part of its wholeness too. Physics as a science provides us only with abstractive descriptions of the Universe, since science offers only abstractions from reality. These abstractive descriptions are what constitute the Explicate Order of the Universe. Thus, each belief we have that through the science of Physics we are able to arrive at an ultimate deciphering of the Universe is inherently illusive. The science of Physics can provide us with knowledge only in the fragmentary level of the Explicate, that means analyzable, Order of the Universe recognizing its cognitive limits in front of the Implicate Order. The laws that govern the Implicate Order of the Universe are unknowable and unanalyzable by man and in the depths of these laws Bohm insists that a final truth about reality cannot be fixed.

scholarly journals New quantum phase of the Universe before inflation and its cosmological and dark energy implications

2019 ◽  
Vol 34 (27) ◽  
pp. 1950155
Author(s):  
Norma G. Sanchez
Keyword(s):  
Dark Energy ◽  
Cosmological Constant ◽  
Quantum Physics ◽  
Planck Scale ◽  
De Sitter ◽  
Quantum Domain ◽  
Wave Particle Duality ◽  
Classical Quantum ◽  
De Sitter Universe ◽  
The Universe

The physical history of the Universe is completed by including the quantum Planckian and trans-Planckian phase before inflation in the Standard Model of the Universe in agreement with observations. In the absence of a complete quantum theory of gravity, we start from quantum physics and its foundational milestone. The universal classical-quantum (or wave-particle) duality, which we extend to gravity and the Planck domain. As a consequence, classical, quantum Planckian and super-Planckian regimes are covered, and the usual quantum domain as well. A new quantum precursor phase of the Universe appears beyond the Planck scale [Formula: see text]: [Formula: see text]; the known classical/semiclassical Universe being in the range: [Formula: see text]. We extend in this way the de Sitter Universe to the quantum domain: classical-quantum de Sitter duality. As a result: (i) The classical and quantum dual de Sitter temperatures and entropies are naturally included, and the different (classical, semiclassical, quantum Planckian and trans-Planckian) de Sitter regimes characterized in a precise and unifying way. (ii) We apply it to relevant cosmological examples as the CMB, inflation and dark energy. This allows us to find in a simple and consistent way. (iii) Full quantum inflationary spectra and their CMB observables, including in particular the classical known inflation spectra and the quantum corrections to them. (iv) A whole unifying picture for the Universe epochs and their quantum precursors emerges with the cosmological constant as the vacuum energy, entropy and temperature of the Universe, clarifying the so-called cosmological constant problem which once more in its rich history needed to be revised.

scholarly journals Dendrogramic Representation of Data: CHSH-Violation vs. Nonergodicity

2021 ◽  
Author(s):  
Oded Shor ◽  
Andrei Khrennikov ◽  
Felix Benninger
Keyword(s):  
Experimental Data ◽  
Time Series ◽  
Lorentz Transformation ◽  
Clustering Algorithms ◽  
Chsh Inequality ◽  
Classical Quantum ◽  
Basic Features ◽  
Totally Disconnected ◽  
Explicate Order

This paper is devoted to the foundational problems of dendrogramic holographic theory (DH-theory). We use the ontic-epistemic (implicate-explicate order) methodology. The epistemic counterpart is based on representation of data by dendrograms constructed with hierarchic clustering algorithms. The ontic Universe is described as the p-adic tree; it is zero dimensional, totally disconnected, disordered, and bounded (in p-adic ultrametric). Interrelation classical-quantum loses its sharpness; generally simple dendrograms are ``more quantum’’ than complex one. We use the CHSH-inequality as a measure of quantum(-likeness). We demonstrate that it can be violated by classical experimental data represented by dendrograms. The seed of this violation is neither nonlocality nor rejection of realism. This is nonergodicity of dendrogramic time series. Generally, violation of ergodicity is one of the basic features of DH-theory. We also consider DH-theory for Minkovski geometry and monitor the dependence of CHSH-violation and nonergodicity on geometry as well as a Lorentz transformation of data.

Theory of the Stationary Self-Consistent Universe

2021 ◽  
Author(s):  
Alexander Shamailovich Avshalumov
Keyword(s):  
Quantum Physics ◽  
Space Time ◽  
Theoretical Physics ◽  
Time Model ◽  
Zero Curvature ◽  
Modern Cosmology ◽  
Simultaneous Existence ◽  
Three Space ◽  
Space Time Model ◽  
The Universe

Since the creation of GR and subsequent works in cosmology, the question of the curvature of space in the Universe is considered one of the most important and debated to this day. This is evident, because the curvature of space depends whether the Universe expands, contracts or is static. These discussions allowed the author to propose a paradoxical idea: simultaneous existence in the Universe of three interconnected space-times (positive, negative and zero curvature) and on this basis, to develop a theory in which each space-time plays its own role and develops in a strict accordance with its sign of curvature. The three space-time model of the structure of the Universe, proposed by the author, allows to solve many fundamental problems of modern cosmology and theoretical physics and creates the basis for building a unified physical theory (including one that unites GR and quantum physics).

scholarly journals Opportunity-as-Hologram, real or artificial in Entrepreneurship

2021 ◽  
Author(s):  
David Leong
Keyword(s):  
David Bohm ◽  
Socially Constructed ◽  
Subatomic Particles ◽  
Implicate Order ◽  
Act Up ◽  
Quantum Science ◽  
Will Self ◽  
Feature Discovery ◽  
Objective Existence ◽  
Explicate Order

<div> <div> <div> <p>Entrepreneurship concerns actions under uncertainties. Situated within that uncertainties are opportunities that entrepreneurs seek. How are these opportunities seen? Within the entrepreneurial opportunities are seeds with potentialities. Potentialities for profits. They are the reasons that entrepreneurs act up to exploit and to set in motion the entrepreneurial emergence. The intentionality follows with construction of a coherent set of activities or incoherent intuitive moves to pursue the opportunity, including injecting resources and mobilizing social and material networks. How are opportunities discovered, and perceived? The current academic debates feature discovery and creation. Are they existing independently, with pre-existing reality, even without being observed? Or as some argued that opportunities are not pre-existing in space and time with an objective existence but are subjectively and socially constructed. On contact with such opportunities, what spur entrepreneurs to act and what are the forces at work? Are they real or artificial? Can they be holographic representation and provide cues and signals to entrepreneurs to act? Can opportunity-as-hologram explains how entrepreneurs get inspired and motivated to pursuing the opportunities? </p> <p>This paper will explore, revisit and recast perspectives on opportunities and addressing the subtle conceptual issues at the core of entrepreneurship theories that hold the two views, discovery and creation of opportunities to be both valid and mutually non-exclusive, on holographic terms. In the discussion, this paper will explore implicate order and explicate order which are quantum theory concepts theorized by physicist David Bohm as these theories were developed to explain the bizarre and unpredictable behaviours of subatomic particles, which have strong semblance to the same free-spiritedness and free-will self-organization behaviours of entrepreneurs. </p> <p>Our theorization will have implications for entrepreneurs and entrepreneurial researches relating to quantum science references. </p> </div> </div> </div>

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