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IMPERIAL COLLEGE PRESS eBooks

Randomnicity - Rules and Randomness in the Realm of the Infinite

Anastasios A. Tsonis

Published Jan 1, 2008• 13 citations
Publisher

Abstract

The Three Parts of Everything Sources of Randomness Randomness in the Universe The Emergence of Reality The Role of Randomness.
DOI
10.1142/9781848161986

Related papers

Reality and Super-Reality: Properties of a Mathematical Multiverse

Alan McKenzie

Abstract Ever since its foundations were laid nearly a century ago, quantum theory has provoked questions about the very nature of reality. We address these questions by considering the universe—and the multiverse—fundamentally as complex patterns, or mathematical structures. Basic mathematical structures can be expressed more simply in terms of emergent parameters. Even simple mathematical structures can interact within their own structural environment, in a rudimentary form of self-awareness, which suggests a definition of reality in a mathematical structure as simply the complete structure. The absolute randomness of quantum outcomes is most satisfactorily explained by a multiverse of discrete, parallel universes. Some of these have to be identical to each other, but that introduces a dilemma, because each mathematical structure must be unique. The resolution is that the parallel universes must be embedded within a mathematical structure—the multiverse—which allows universes to be identical within themselves, but nevertheless distinct, as determined by their position in the structure. The multiverse needs more emergent parameters than our universe and so it can be considered to be a superstructure. Correspondingly, its reality can be called a super-reality. While every universe in the multiverse is part of the super-reality, the complete super-reality is forever beyond the horizon of any of its component universes.

arXiv:2104.05399•Axiomathes•Nov 8, 2019•5 citations

Can (Quantum) Information be Sorted Out from Quantum Mechanics?

Michele Caponigro, Stefano Mancini

We shall draw an affirmative answer to the question posed in the title.The key point will be a quantum description of physical reality.Once fixed at ontic level two basic elements, namely the laws of physics and the matter, we argue that the underlying physical reality emerges from the interconnection between these two elements.We consider any physical process, including measurement, modeled by unitary evolution.In this context, we will deduce quantum randomness as a consequence of inclusion of the observer into the quantum system.The global picture of the universe is in a sense deterministic, but from our own local perspective (as part of the system) we perceive quantum mechanical randomness.Then, the notion of "information" turns out to be a derivative concept.I've spent much more time thinking about the photon problem [i.e., about quantum theory] than about relativity. A. Einstein

NeuroQuantology•Nov 24, 2009•0 citations

Quantum Randomness is Chimeric

Karl Svozil

If quantum mechanics is taken for granted, the randomness derived from it may be vacuous or even delusional, yet sufficient for many practical purposes. "Random" quantum events are intimately related to the emergence of both space-time as well as the identification of physical properties through which so-called objects are aggregated. We also present a brief review of the metaphysics of indeterminism.

arXiv:2102.13500•Entropy•Apr 24, 2021•8 citations

The Observer as a Cosmically Enclosed Phenomenon; A Radical Revision of Determinism, Time, Free Will, and Scientific Positionality

Berry Aarts

This dissertation formulates a closed world in which the observer, in whatever capacity, does not stand outside the universe but is intrinsically part of it. Biologically formed or not.This position is often misunderstood in classical science. You observe something while you yourself are part of what you observe. This becomes evident at the quantum level. The debate between Niels Bohr and Albert Einstein revolved around this for decades, and continues to this day. Likewise, there are many discussions about the role of the observer, such as in the Double Slit Experiment. There it becomes clear that the observer perceives something different from the underlying reality. It is well known that it matters whether you observe or not.This dissertation explains clearly that this position of an external observer, present in both of these examples, is impossible to maintain within classical science. It also assumes that everything in the universe, even at the quantum level or smaller, proceeds according to strict rules. No process in the universe can escape them. It may seem that as a human being (or as another biological or non‑biological entity) you possess free will because of your mobility and mind, but even that can be traced back to a universal process that adheres precisely to the same rules from which everything is built. Nothing in the entire universe can escape them. This is reinforced and clarified by the central thought experiment used here: the frozen universe. It reveals that time, change, and free will do not exist in reality but only as experience. Time is a concept from point A to point B within which change occurs. Because of this, we are accustomed to process thinking. In a static universe, this is impossible. It then becomes apparent that things we consider normal—even at the scientific level—manifest themselves in a completely different way. This dissertation on the frozen universe therefore has major consequences. As a result, Einstein’s block universe can no longer be taken as a starting point—something on which many theories are based—and the debate between Bohr and Einstein on determinism and indeterminism becomes largely redundant. The Schrödinger equation and numerous scientific publications are thereby put under pressure, precisely because everything unfolds according to the fixed, universal, continuous process over which one has no influence. As humans or observers, we live in our world while continuously being part of that same process and of how that universal process unfolds. As a human being, you have only the freedom to experience the human world. Therefore, free will and time should be regarded as separate from all universal processes, because these human processes—also applicable to other biological beings—experience a different world than the universal process of which they are part.In short: we live in an illusion of our reality that does not align with the universal processes that have existed as long as the universe itself. This also shows that everything is determined according to the rules that unfold continuously within the one‑direction continuum, and that nothing can be changed about it. It is thus a framework in which reality, perception, and causality converge into one closed, relational whole. In doing so, it forms a conceptual bridge between physics, philosophy of mind, consciousness studies, and epistemology, and provides a foundation for a new, reflexive scientific method. It is also a bridge between classical science—from Newton to contemporary quantum theory.

•Jan 1, 2026•0 citations

Probability And Randomness: Quantum Versus Classical

Andrei Yu. Khrennikov

"Creating a rigorous mathematical theory of randomness is far from being complete, even in the classical case. Interrelation of Classical and Quantum Randomness rectifies this and introduces mathematical formalisms of classical and quantum probability and randomness with brief discussion of their interrelation and interpretational and foundational issues. The book presents the essentials of classical approaches to randomness, enlightens their successes and problems, and then proceeds to essentials of quantum randomness. Its wide-ranging and comprehensive scope makes it suitable for researchers in mathematical physics, probability and statistics at any level"--

•Mar 3, 2016•34 citations

Quantum Entanglement, Its Nature and Manifestations

P. Kohút

Knowing the mutual interconnection of everything with everything, it is no problem to interpret the interactions between the measuring and quantum systems as any other interactions between two or more systems consisting of elementary quantum dipoles. So, all relations between the measuring apparatus and measured quantum objects are only parts of the universal cosmic network of elementary quantum interactions creating the objective physical reality, independent of a human consciousness. But the observer, as a conscious subject, plays an active and creative role in his communication with the micro-world.

Scientific GOD Journal•Feb 27, 2011•1 citation
Abstract Ever since its foundations were laid nearly a century ago, quantum theory has provoked questions about the very nature of reality. We address these questions by considering the universe—and the multiverse—fundamentally as complex patterns, or mathematical structures. Basic mathematical structures can be expressed more simply in terms of emergent parameters. Even simple mathematical structures can interact within their own structural environment, in a rudimentary form of self-awareness, which suggests a definition of reality in a mathematical structure as simply the complete structure. The absolute randomness of quantum outcomes is most satisfactorily explained by a multiverse of discrete, parallel universes. Some of these have to be identical to each other, but that introduces a dilemma, because each mathematical structure must be unique. The resolution is that the parallel universes must be embedded within a mathematical structure—the multiverse—which allows universes to be identical within themselves, but nevertheless distinct, as determined by their position in the structure. The multiverse needs more emergent parameters than our universe and so it can be considered to be a superstructure. Correspondingly, its reality can be called a super-reality. While every universe in the multiverse is part of the super-reality, the complete super-reality is forever beyond the horizon of any of its component universes.
We shall draw an affirmative answer to the question posed in the title.The key point will be a quantum description of physical reality.Once fixed at ontic level two basic elements, namely the laws of physics and the matter, we argue that the underlying physical reality emerges from the interconnection between these two elements.We consider any physical process, including measurement, modeled by unitary evolution.In this context, we will deduce quantum randomness as a consequence of inclusion of the observer into the quantum system.The global picture of the universe is in a sense deterministic, but from our own local perspective (as part of the system) we perceive quantum mechanical randomness.Then, the notion of "information" turns out to be a derivative concept.I've spent much more time thinking about the photon problem [i.e., about quantum theory] than about relativity. A. Einstein
This dissertation formulates a closed world in which the observer, in whatever capacity, does not stand outside the universe but is intrinsically part of it. Biologically formed or not.This position is often misunderstood in classical science. You observe something while you yourself are part of what you observe. This becomes evident at the quantum level. The debate between Niels Bohr and Albert Einstein revolved around this for decades, and continues to this day. Likewise, there are many discussions about the role of the observer, such as in the Double Slit Experiment. There it becomes clear that the observer perceives something different from the underlying reality. It is well known that it matters whether you observe or not.This dissertation explains clearly that this position of an external observer, present in both of these examples, is impossible to maintain within classical science. It also assumes that everything in the universe, even at the quantum level or smaller, proceeds according to strict rules. No process in the universe can escape them. It may seem that as a human being (or as another biological or non‑biological entity) you possess free will because of your mobility and mind, but even that can be traced back to a universal process that adheres precisely to the same rules from which everything is built. Nothing in the entire universe can escape them. This is reinforced and clarified by the central thought experiment used here: the frozen universe. It reveals that time, change, and free will do not exist in reality but only as experience. Time is a concept from point A to point B within which change occurs. Because of this, we are accustomed to process thinking. In a static universe, this is impossible. It then becomes apparent that things we consider normal—even at the scientific level—manifest themselves in a completely different way. This dissertation on the frozen universe therefore has major consequences. As a result, Einstein’s block universe can no longer be taken as a starting point—something on which many theories are based—and the debate between Bohr and Einstein on determinism and indeterminism becomes largely redundant. The Schrödinger equation and numerous scientific publications are thereby put under pressure, precisely because everything unfolds according to the fixed, universal, continuous process over which one has no influence. As humans or observers, we live in our world while continuously being part of that same process and of how that universal process unfolds. As a human being, you have only the freedom to experience the human world. Therefore, free will and time should be regarded as separate from all universal processes, because these human processes—also applicable to other biological beings—experience a different world than the universal process of which they are part.In short: we live in an illusion of our reality that does not align with the universal processes that have existed as long as the universe itself. This also shows that everything is determined according to the rules that unfold continuously within the one‑direction continuum, and that nothing can be changed about it. It is thus a framework in which reality, perception, and causality converge into one closed, relational whole. In doing so, it forms a conceptual bridge between physics, philosophy of mind, consciousness studies, and epistemology, and provides a foundation for a new, reflexive scientific method. It is also a bridge between classical science—from Newton to contemporary quantum theory.
"Creating a rigorous mathematical theory of randomness is far from being complete, even in the classical case. Interrelation of Classical and Quantum Randomness rectifies this and introduces mathematical formalisms of classical and quantum probability and randomness with brief discussion of their interrelation and interpretational and foundational issues. The book presents the essentials of classical approaches to randomness, enlightens their successes and problems, and then proceeds to essentials of quantum randomness. Its wide-ranging and comprehensive scope makes it suitable for researchers in mathematical physics, probability and statistics at any level"--
Knowing the mutual interconnection of everything with everything, it is no problem to interpret the interactions between the measuring and quantum systems as any other interactions between two or more systems consisting of elementary quantum dipoles. So, all relations between the measuring apparatus and measured quantum objects are only parts of the universal cosmic network of elementary quantum interactions creating the objective physical reality, independent of a human consciousness. But the observer, as a conscious subject, plays an active and creative role in his communication with the micro-world.