Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

On Foundational Physics

John Skilling, Kevin H. Knuth

Published Jan 3, 2023• 0 citations
Publisher

Abstract

As physicists, we wish to make mental models of the world around us. For this to be useful, we need to be able to classify features of the world into symbols and develop a rational calculus for their manipulation. In seeking maximal generality, we aim for minimal restrictive assumptions. That inquiry starts by developing basic arithmetic and proceeds to develop the formalism of quantum theory and relativity.

DOI
10.3390/psf2022005040

Related papers

Towards a General Operational and Realistic Framework for Quantum Mechanics and Relativity Theory

Diederik Aerts, Sven Aerts

The frontiers collection•Jan 1, 2005•23 citations

Quantum logic with implication.

J. Jay Zeman

The non-classical nature of quantum theory has led to a number of efforts to formalize the logic of statements whose universe of discourse is the subatomic (see, for example, [3], [6], [8], and [10]).It might be hoped that ideally the fruit of such efforts would be a formalism not totally divorced from the classical logic, but incorporating or incorporated in it in such a manner as to unify the logic of the micro-and the macro-worlds.Indeed, this has been the general direction taken by these efforts, including that which we principally examine and expand upon here.*Josef Jauch, [6], pp.67-89, developed a "propositional calculus of quantum mechanics".He objected to calling a system like his a "logic of quantum mechanics"; however, our use of 'logic' here is not, I think, the use to which Jauch objected.A logic, for our present purposes, is a mathematical formalism having a reasonable interpretation as a theory of deduction; its actual application as normative of argumentation in reality is a matter of empirical judgment.This seems close to the way Jauch wished to use "propositional calculus" but more general, allowing for extension to a quantification theory of quantum mechanics, for example.Although Jauch's presentation of a propositional calculus of quantum mechanics is mathematically interesting and suggestive, there are a number of problems connected with it.It is our purpose to engage some of these problems and to present a rigorously defined formalism intended to come close to doing the job intended by Jauch for his logic.The success or lack of success of this effort as related to actual application of this formalism in the foundations of quantum theory is, I think, a matter for the physicists to decide; the empirical judgment involved in this application is not in the scope of this paper.If a formalism is to have a reasonable interpretation as a theory of deduction, it seems clear that it must include a relation which, when it holds between two elements of the formalism, may be reasonably interpreted as expressing that one of the elements 'follows from' the other, in •The author wishes to thank Robert Piziak for advice and comments in the course of research for this paper.

Notre Dame Journal of Formal Logic•Oct 1, 1979•20 citations

From Logic to Physics: The Logico-Algebraic Foundations of Quantum Theory

Gianpiero Cattaneo, Federico Laudisa

Springer eBooks•Jan 1, 1999•0 citations

QUANTUM MECHANICS & THE ROLE FOR CONSCIOUSNESS IN THE PHYSICAL WORLDD

F.A. Rauscher

In this paper we will address important considerations for the structure of a physical theory and the need and implications for the conscious observer and creator. Complementarity and reciprocity are dominate in the sttucture of the Quantum \'Vorld. It is clear that one's meaningful existence directly involves one's intent and acdon both mental and physical in consequence. Hence, it is vital ro undersrand what intemional will is, the manner in which it arises, as it relates to one's ethical responsibility the meaning of their life may also be considered in the context of intentional will and may be described and understOod. We investigate the role of conscious intention in the physical and mental world. In this paper, we examine the theoretical constructs of the properties of observational intention and their local and nonlocal effects on mind and matter. One begins by sensing a physical or psychic input and then becoming consciously aware of it as perceptions and thoughts which result in concepts developed for memories, reasoning and feelings. Then a thought and decision will be made and imention are carried into action in the physical and mental world. We proceed by investigating the role and action of the thought of intentional will and its role in quantum mechanics, its structure of the theoty and manner in which it appears ro demand a role for consciousness. In order to proceed with our investigation will present some of the basic tenants of quantum mechanics, the structure of the theoty and manner in which it appears ro demand a role for consciousness in quantum measurement and its non local intentional interaction. The quantum theory gives us two inescapable conclusions: J) we are intimaly linked ro the world as participatory observers, and 2) nonlocal remote connections and interactions are shown to be parr of our world process. Discoveries, and/or creations of new concepts in physics lead ro the observer/participant issue. Quantum mechanics, the theory of atomic microcosm, is a description that may imply that the observer has an impact on the observed, that rhe observer has an effect on what is observed. The relativity theory scems to imply that the state of the observer affecrs his interpretation of what he sees. In the context of quantum theoty and relativity, we may be able to shed light on the relationship of discovery as well as creation and irs validation of the properties of an external reality. In quantum physics, as well as in the structure of n-dimensional relativistic models, the implication for a fundamental remore connection of events is deeply implied by the structure of these models and their experimental test and we can use this property for our experimental models of the properties of consciousness. The structure of physical theoty, its very fabric, is pointing towards a world view that speaks of concepts which have been considered external to the body of science but yet may be implied by modern physical theoty itself.

Subtle energies & energy medicine•Jan 1, 2005•1 citation

The New Story in Physics: Mind, Matter, and the Nonlocal Universe

Robert L. Nadeau

The capacity to acquire and use fully complex language systems made the members of our species fully conscious and self-aware beings in the vast cosmos. But this enormous privilege came with a price. After our ancestors began to live storied lives in a linguistically based symbolic universe, the world that previous generations experienced as an integrated and undivided whole split into two worlds—an inner world where the self that is aware of its own awareness exists and an outer world in which this self seeks to gratify its needs and establish a meaningful sense of connection with other selves. And this explains why the most fundamental impulse in the storied lives of fully modern humans has always been to close the gap between these inner and outer worlds by integrating all seemingly discordant parts of a symbolic universe into a meaningful and coherent whole. The narrative that has consistently served this function is religion. But during the first scientific revolution of the seventeenth century, another narrative emerged called Newtonian or classical physics that also promised to bridge the gap between self and world by integrating all of the seemingly discordant parts of the physical universe into a coherent and meaningful whole. In this physics, one universal force, gravity, governs the motion, interaction, and blending of indestructible atoms or mass points. And since the laws of gravity were completely deterministic, it was assumed that all events in the cosmos are predetermined by the forces associated with these laws and that the future of any physical system could be predicted with absolute certainty if initial conditions are known. In the worldview of classical physics, human beings were cogs in a giant machine and linked to other parts of this machine in only the most mundane material terms. The knowing self was separate, discrete, and isolated from the physical world, and all the creativity of the cosmos was exhausted in the first instant of creation. As physicist Henry Stapp points out, “Classical physics not only fails to demand the mental, it fails to even provide a rational place for the mental.

Oxford University Press eBooks•Jan 10, 2013•0 citations

Foundations of quantum mechanics?

Göran Lindblad

Does quantum mechanics have unsolved foundational problems? Is there a dividing line between the quantum and classical descriptions of the world? In this paper, I give an elementary introduction to the mathematical aspects of quantum and classical models which have prompted such questions.

Physica Scripta•Jun 28, 2011•30 citations
As physicists, we wish to make mental models of the world around us. For this to be useful, we need to be able to classify features of the world into symbols and develop a rational calculus for their manipulation. In seeking maximal generality, we aim for minimal restrictive assumptions. That inquiry starts by developing basic arithmetic and proceeds to develop the formalism of quantum theory and relativity.
The non-classical nature of quantum theory has led to a number of efforts to formalize the logic of statements whose universe of discourse is the subatomic (see, for example, [3], [6], [8], and [10]).It might be hoped that ideally the fruit of such efforts would be a formalism not totally divorced from the classical logic, but incorporating or incorporated in it in such a manner as to unify the logic of the micro-and the macro-worlds.Indeed, this has been the general direction taken by these efforts, including that which we principally examine and expand upon here.*Josef Jauch, [6], pp.67-89, developed a "propositional calculus of quantum mechanics".He objected to calling a system like his a "logic of quantum mechanics"; however, our use of 'logic' here is not, I think, the use to which Jauch objected.A logic, for our present purposes, is a mathematical formalism having a reasonable interpretation as a theory of deduction; its actual application as normative of argumentation in reality is a matter of empirical judgment.This seems close to the way Jauch wished to use "propositional calculus" but more general, allowing for extension to a quantification theory of quantum mechanics, for example.Although Jauch's presentation of a propositional calculus of quantum mechanics is mathematically interesting and suggestive, there are a number of problems connected with it.It is our purpose to engage some of these problems and to present a rigorously defined formalism intended to come close to doing the job intended by Jauch for his logic.The success or lack of success of this effort as related to actual application of this formalism in the foundations of quantum theory is, I think, a matter for the physicists to decide; the empirical judgment involved in this application is not in the scope of this paper.If a formalism is to have a reasonable interpretation as a theory of deduction, it seems clear that it must include a relation which, when it holds between two elements of the formalism, may be reasonably interpreted as expressing that one of the elements 'follows from' the other, in •The author wishes to thank Robert Piziak for advice and comments in the course of research for this paper.
In this paper we will address important considerations for the structure of a physical theory and the need and implications for the conscious observer and creator. Complementarity and reciprocity are dominate in the sttucture of the Quantum \'Vorld. It is clear that one's meaningful existence directly involves one's intent and acdon both mental and physical in consequence. Hence, it is vital ro undersrand what intemional will is, the manner in which it arises, as it relates to one's ethical responsibility the meaning of their life may also be considered in the context of intentional will and may be described and understOod. We investigate the role of conscious intention in the physical and mental world. In this paper, we examine the theoretical constructs of the properties of observational intention and their local and nonlocal effects on mind and matter. One begins by sensing a physical or psychic input and then becoming consciously aware of it as perceptions and thoughts which result in concepts developed for memories, reasoning and feelings. Then a thought and decision will be made and imention are carried into action in the physical and mental world. We proceed by investigating the role and action of the thought of intentional will and its role in quantum mechanics, its structure of the theoty and manner in which it appears ro demand a role for consciousness. In order to proceed with our investigation will present some of the basic tenants of quantum mechanics, the structure of the theoty and manner in which it appears ro demand a role for consciousness in quantum measurement and its non local intentional interaction. The quantum theory gives us two inescapable conclusions: J) we are intimaly linked ro the world as participatory observers, and 2) nonlocal remote connections and interactions are shown to be parr of our world process. Discoveries, and/or creations of new concepts in physics lead ro the observer/participant issue. Quantum mechanics, the theory of atomic microcosm, is a description that may imply that the observer has an impact on the observed, that rhe observer has an effect on what is observed. The relativity theory scems to imply that the state of the observer affecrs his interpretation of what he sees. In the context of quantum theoty and relativity, we may be able to shed light on the relationship of discovery as well as creation and irs validation of the properties of an external reality. In quantum physics, as well as in the structure of n-dimensional relativistic models, the implication for a fundamental remore connection of events is deeply implied by the structure of these models and their experimental test and we can use this property for our experimental models of the properties of consciousness. The structure of physical theoty, its very fabric, is pointing towards a world view that speaks of concepts which have been considered external to the body of science but yet may be implied by modern physical theoty itself.
The capacity to acquire and use fully complex language systems made the members of our species fully conscious and self-aware beings in the vast cosmos. But this enormous privilege came with a price. After our ancestors began to live storied lives in a linguistically based symbolic universe, the world that previous generations experienced as an integrated and undivided whole split into two worlds—an inner world where the self that is aware of its own awareness exists and an outer world in which this self seeks to gratify its needs and establish a meaningful sense of connection with other selves. And this explains why the most fundamental impulse in the storied lives of fully modern humans has always been to close the gap between these inner and outer worlds by integrating all seemingly discordant parts of a symbolic universe into a meaningful and coherent whole. The narrative that has consistently served this function is religion. But during the first scientific revolution of the seventeenth century, another narrative emerged called Newtonian or classical physics that also promised to bridge the gap between self and world by integrating all of the seemingly discordant parts of the physical universe into a coherent and meaningful whole. In this physics, one universal force, gravity, governs the motion, interaction, and blending of indestructible atoms or mass points. And since the laws of gravity were completely deterministic, it was assumed that all events in the cosmos are predetermined by the forces associated with these laws and that the future of any physical system could be predicted with absolute certainty if initial conditions are known. In the worldview of classical physics, human beings were cogs in a giant machine and linked to other parts of this machine in only the most mundane material terms. The knowing self was separate, discrete, and isolated from the physical world, and all the creativity of the cosmos was exhausted in the first instant of creation. As physicist Henry Stapp points out, “Classical physics not only fails to demand the mental, it fails to even provide a rational place for the mental.