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A Framework of Principles for Quantum General Relativity with Time and Measurement

Suresh K Maran

Published Mar 26, 2013• 0 citations
OpenAlex

Abstract

The purpose of this article is to outline a framework of concepts and principles to combine quantum mechanics and general relativity so that time and measurement (reduction) are present as integral parts of the basic foundations. First, the problem of time in quantum gravity and the measurement problem in quantum mechanics are briefly reviewed and the popular proposals to tackle these two problems are briefly discussed. Next, on the already known foundations of quantum mechanics, a framework of principles of dynamics is built: 1) Self-Time Evolution - Newtons first law is reinterpreted to define time, 2) Local Measurement by Local Reduction - Quantum diffusion theory is adapted, and 3) Global Evolution by Global Reduction. Ideas on how to apply the framework to study quantum general relativistic physics are discussed. Further, more general and modified forms of some of these principles are also discussed. The theoretical elements in the framework to be made concrete by further theoretical and experimental investigations are listed.

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Quantum General Relativistic Framework 5.x: Postulates on Quantum Evolution and Reduction with Retrocausality for Unconscious Matter.

Suresh K Maran

This is the fifth update for the quantum gravity framework project. Based on the first five papers, I finalize a three-set of fundamental postulates for understanding time, quantum reduction, and consciousness from quantum general relativistic concepts, within the canonical quantum gravity framework for unconscious matter. At the beginning, I review the history of quantum measurement research and the models and ideas proposed, in the context of the quantum gravity framework project. Then I introduce a new reduction theory that includes retrocausality and spontaneous reduction, and further concepts to include conscious and unconscious influence. The concept of classicum is introduced for the first time as an analog of quantum to understand reduction, and is used extensively in the second volume to discuss the possible nature of consciousness. Then I discuss in mathematical detail the three postulates in the quantum general relativistic framework. Toward the end, I discuss sample calculations and experimental verifications. I summarize various calculations done in the previous versions of the Quantum General Relativistic Framework. In the companion paper on the physical foundations of consciousness, complementary sets of principles are introduced to explain consciousness using the concepts in this paper. Further advancement of this project requires theoretical and experimental studies, which are discussed in this paper. It is noted that the proper analysis of quantum gravity predicts potential retrocausal effects. The mathematical formulation of retrocausality is discussed. Many of the words in this update are different from the previous versions.

•May 4, 2024•0 citations

Quantum General Relativistic Framework 5: The Physical Foundations of Unconsciousness and Consciousness Matter with Retrocausality

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This is the fifth update for the quantum gravity framework project. The research work has been split into two parts: Part A deals with unconscious matter, while Part B deals with conscious matter. Each has its own abstract. I introduce retrocausality in both. In Part A, based on the first five papers, I finalize a three-set of fundamental postulates for understanding time, quantum reduction, and consciousness from quantum general relativistic concepts. Then I introduce a new reduction theory that includes retrocausality and spontaneous reduction, and further concepts to include conscious and unconscious influence. Then I discuss three postulates in the quantum general relativistic framework. Toward the end, I discuss sample calculations and experimental verifications. I summarize various calculations done in the previous versions of the Quantum General Relativistic Framework. In Part B of this paper, I propose a set of ideas to explain the phenomena of life and consciousness in the universe and their relation to the interpretation of quantum mechanics using my past papers and other important work. Consciousness is described as a result of specific dynamical configurations of matter and fields aided by fundamental properties of nature proposed in this paper. First, I review the various theories of consciousness in current literature and come up with various hypotheses, definitions, and propositions to build a physical theory of consciousness. I propose three sets of postulates on the physical foundations of consciousness from a quantum general relativistic background, using the proposals in part A, to understand time and reduction. Various new concepts are introduced. The concept of classicum is introduced as an analog of quantum, and its relation to conscious being is discussed. Mathematical models for various ideas are discussed. I discuss theory and experiments to verify these.

arXiv:1303.6539•Mar 26, 2013•0 citations

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Mittaukseen perustuvat tilapäivitykset kenttäteoriassa ja gravitaatiossa

Nicola Pranzini

Measurements play a crucial role in quantum mechanics because they serve two fundamental purposes. First, they enable the extraction of information about a quantum system; second, they give rise to new physical effects that do not appear in classical physics, one important example being the measurement-induced state update, where the act of measurement alters the system’s state. For these reasons, the mathematical description of measurements plays a primary role in the foundational postulates of the theory. However, the essence of what happens during a measurement remains poorly understood, even within the relatively easy realm of non-relativistic quantum theory. The situation becomes even less transparent in the relativistic setting, where the requirement to preserve causality and prevent faster-than-light signalling introduces both formal and interpretational challenges, complicating the very mathematical formulation of a measurement theory. As for quantum gravity, the idea of applying quantum measurements within or onto a quantum spacetime remains virtually unexplored, presenting a vast and uncharted frontier for theoretical inquiry. Building on recent advances across several areas at the intersection of quantum foundations, quantum information theory, relativistic quantum theory, and quantum gravity, the last few years saw a surge of interest in formulating a consistent framework for describing local measurements in a relativistic context. The main results of this endeavour are two distinct proposals for a relativistic measurement postulate for quantum field theory in generic spacetimes. While these two proposals are still being understood, and a growing research community is working to clarify their implications and potential interconnections, the field of relativistic quantum measurements has now reached a level of maturity that allows us to ask both formal and interpretive questions on a solid footing. All this only applies to the regime in which quantum field theory in curved spacetime remains valid: nothing can yet be said about measurements at the Planck energy, where quantum gravitational effects are expected to become important. This thesis presents an introduction to the theory of measurements in non-relativistic and relativistic quantum mechanics, along with four original research articles that explore aspects of measurements in both fields, as well as the potential extension of measurement theory to the domain of quantum gravity. The first article examines the limitations of realistic measurement apparatuses in non-relativistic quantum theory, establishing reasonable bounds for the precision that can be achieved with a given apparatus composed of many quantum components. The second article explores how to extract information from a newly introduced class of quantum systems, defined as those that cannot be replicated and thus fall outside the usual scope of quantum mechanics. Then, it applies the methodology to quantum field theory, demonstrating that classical results, such as the Unruh effect, can still be observed in this setting. The third article discusses detector-based measurements in quantum field theory. This is a recently proposed method that extends the non-relativistic measurement postulate to the relativistic regime by means of Unruh-de Witt detectors. The article highlights some conceptual and mathematical issues with the framework and proposes a solution using algebraic quantum field theory. The outcome is a self-consistent scheme for introducing local measurements in quantum field theory via measuring detectors. Finally, the fourth article uses the measurement scheme above to study how what we learned in the past years about local measurements can be extended to quantum gravity. This is achieved through the holographic principle realised in terms of the AdS-CFT correspondence. In conclusion, this thesis contributes to the development of both non-relativistic and relativistic measurement theories and introduces ideas and questions related to the role of measurement in quantum gravity. Though preliminary, this work opens a pathway toward studying measuring observers in quantum gravity.

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An enquiry into the physical nature of time and space and into the ontology of quantum mechanics from a metageometric perspective, resulting from the belief that geometric thought and language are powerless to farther understanding of these issues, restricting instead physical progress. The nature and assumptions of quantum gravity are analysed critically, including misgivings about the relevance of the Planck scale to it and its lack of observational referent in the natural world. The anthropic foundations of geometry are investigated. The exclusive use of geometric thought from antiquity to present-day physics is found to permeate all new attempts towards better theories, including quantum gravity and, within it, even pregeometry. The problem of the ether is found to have perpetuated itself up to the present by transmuting its form from mechanical, through metric, to geometric. A clarification is made of the physical, mathematical, and psychological foundations of relativity and quantum theories. The former is founded geometrically on measurement-based clock-reading separations ds. The latter is founded metageometrically on the experiment-based concepts of premeasurement and transition things, inspired in the physically unexplored aspect of time as a consciousness-related product. A concept of metageometric time is developed and coordinate time t is recovered from it. Discovery of the connection between quantum-mechanical metageometric time elements and general-relativistic clock time elements ds is deemed necessary for a combined understanding of time. Time is conjectured to be the missing link between general relativity and quantum mechanics.

arXiv:0804.3742•Apr 23, 2008•1 citation
The purpose of this article is to outline a framework of concepts and principles to combine quantum mechanics and general relativity so that time and measurement (reduction) are present as integral parts of the basic foundations. First, the problem of time in quantum gravity and the measurement problem in quantum mechanics are briefly reviewed and the popular proposals to tackle these two problems are briefly discussed. Next, on the already known foundations of quantum mechanics, a framework of principles of dynamics is built: 1) Self-Time Evolution - Newtons first law is reinterpreted to define time, 2) Local Measurement by Local Reduction - Quantum diffusion theory is adapted, and 3) Global Evolution by Global Reduction. Ideas on how to apply the framework to study quantum general relativistic physics are discussed. Further, more general and modified forms of some of these principles are also discussed. The theoretical elements in the framework to be made concrete by further theoretical and experimental investigations are listed.
Abstract Quantum mechanics and relativity are two of the most successful theoretical frameworks in modern physics, yet their conceptual foundations remain difficult to reconcile at the deepest level. Quantum theory describes physical systems through states, observables, probabilities, measurement contexts, superposition, entanglement, and nonclassical correlations. Relativity describes physical processes through space-time structure, causal order, invariant physical law, observer-dependent decomposition of time and space, and constraints on signal propagation. This article examines the conceptual relationship between quantum measurement, relativistic causality, and space-time description. The purpose is not to present a mathematical unification but to analyze how the two frameworks organize physical explanation differently and where their interpretive tensions arise. Special attention is given to the measurement problem, the status of quantum states, the role of observers and reference frames, the meaning of locality, the distinction between correlation and causal influence, and the challenge of describing quantum processes without privileging a single global time. The article argues that many apparent conflicts between quantum theory and relativity result from importing classical intuitions into domains where they no longer apply. Quantum entanglement does not permit controllable faster-than-light communication, yet it challenges classical separability. Relativity forbids superluminal signaling, yet it does not require that all physically meaningful correlations be reducible to local classical properties. Measurement introduces another difficulty because standard quantum theory often describes state update in a way that appears instantaneous, while relativistic space-time does not provide a universal present. The discussion develops a conceptual framework in which quantum measurement is treated as a physical interaction, relativistic causality as a constraint on operational influence, and space-time description as an organizing structure for events rather than a simple background stage. This analysis is relevant for quantum field theory, quantum information, relativistic quantum foundations, and future approaches to quantum gravity.
This is the fifth update for the quantum gravity framework project. Based on the first five papers, I finalize a three-set of fundamental postulates for understanding time, quantum reduction, and consciousness from quantum general relativistic concepts, within the canonical quantum gravity framework for unconscious matter. At the beginning, I review the history of quantum measurement research and the models and ideas proposed, in the context of the quantum gravity framework project. Then I introduce a new reduction theory that includes retrocausality and spontaneous reduction, and further concepts to include conscious and unconscious influence. The concept of classicum is introduced for the first time as an analog of quantum to understand reduction, and is used extensively in the second volume to discuss the possible nature of consciousness. Then I discuss in mathematical detail the three postulates in the quantum general relativistic framework. Toward the end, I discuss sample calculations and experimental verifications. I summarize various calculations done in the previous versions of the Quantum General Relativistic Framework. In the companion paper on the physical foundations of consciousness, complementary sets of principles are introduced to explain consciousness using the concepts in this paper. Further advancement of this project requires theoretical and experimental studies, which are discussed in this paper. It is noted that the proper analysis of quantum gravity predicts potential retrocausal effects. The mathematical formulation of retrocausality is discussed. Many of the words in this update are different from the previous versions.
This is the fifth update for the quantum gravity framework project. The research work has been split into two parts: Part A deals with unconscious matter, while Part B deals with conscious matter. Each has its own abstract. I introduce retrocausality in both. In Part A, based on the first five papers, I finalize a three-set of fundamental postulates for understanding time, quantum reduction, and consciousness from quantum general relativistic concepts. Then I introduce a new reduction theory that includes retrocausality and spontaneous reduction, and further concepts to include conscious and unconscious influence. Then I discuss three postulates in the quantum general relativistic framework. Toward the end, I discuss sample calculations and experimental verifications. I summarize various calculations done in the previous versions of the Quantum General Relativistic Framework. In Part B of this paper, I propose a set of ideas to explain the phenomena of life and consciousness in the universe and their relation to the interpretation of quantum mechanics using my past papers and other important work. Consciousness is described as a result of specific dynamical configurations of matter and fields aided by fundamental properties of nature proposed in this paper. First, I review the various theories of consciousness in current literature and come up with various hypotheses, definitions, and propositions to build a physical theory of consciousness. I propose three sets of postulates on the physical foundations of consciousness from a quantum general relativistic background, using the proposals in part A, to understand time and reduction. Various new concepts are introduced. The concept of classicum is introduced as an analog of quantum, and its relation to conscious being is discussed. Mathematical models for various ideas are discussed. I discuss theory and experiments to verify these.
The Theory of Temporal Relativity proposes a unified theoretical framework that extends Special and General Relativity into the complex domain, integrating aspects of Quantum Mechanics within a single geometrical structure. The theory introduces a generalized Hilbert-space geometry and interprets quantum states as observer-dependent, arising from complex temporal relations between reference frames. Theory of Temporal Relativity is a theoretical framework proposing a unified extension of Special and General Relativity into the complex domain, with the goal of incorporating aspects of Quantum Mechanics within a consistent geometrical model. The theory generalizes Hilbert-space geometry and relativistic invariance to complex coordinates, introducing observer-dependent descriptions of physical quantities and a reinterpretation of quantum states as complex-phase relations between reference frames. Within this model, fundamental constants such as c, G, and h are not strictly universal but can exhibit apparent local variations arising from the observer’s position in the complex spacetime manifold. These variations preserve global covariance and CPT symmetry while reconciling quantum non-locality with relativistic kinematics. The framework predicts experimentally testable effects, including measurable phase shifts in interferometric experiments, possible frequency modulations in non-inertial systems, and small local deviations of physical constants detectable in condensed-matter and gravitational contexts. The supplementary work, “Quantum Uncertainty, Planck’s Constant, and Ontological Insights from Complex Spacetime Geometry and Local Metric Deformations”, develops the principle of Temporal Relativity as a foundational element of the theory. It formalizes the connection between quantum uncertainty, metric deformations, and complex temporal structures, within an alternative logical framework (AU). This extension provides both an ontological interpretation of the wavefunction and a basis for the emergence of quantum indeterminacy from geometric causes. Together, these works present a coherent attempt to unify the relativistic and quantum domains under a single complex-geometric view of spacetime, maintaining mathematical rigor while providing clear experimental pathways for empirical validation.
Measurements play a crucial role in quantum mechanics because they serve two fundamental purposes. First, they enable the extraction of information about a quantum system; second, they give rise to new physical effects that do not appear in classical physics, one important example being the measurement-induced state update, where the act of measurement alters the system’s state. For these reasons, the mathematical description of measurements plays a primary role in the foundational postulates of the theory. However, the essence of what happens during a measurement remains poorly understood, even within the relatively easy realm of non-relativistic quantum theory. The situation becomes even less transparent in the relativistic setting, where the requirement to preserve causality and prevent faster-than-light signalling introduces both formal and interpretational challenges, complicating the very mathematical formulation of a measurement theory. As for quantum gravity, the idea of applying quantum measurements within or onto a quantum spacetime remains virtually unexplored, presenting a vast and uncharted frontier for theoretical inquiry. Building on recent advances across several areas at the intersection of quantum foundations, quantum information theory, relativistic quantum theory, and quantum gravity, the last few years saw a surge of interest in formulating a consistent framework for describing local measurements in a relativistic context. The main results of this endeavour are two distinct proposals for a relativistic measurement postulate for quantum field theory in generic spacetimes. While these two proposals are still being understood, and a growing research community is working to clarify their implications and potential interconnections, the field of relativistic quantum measurements has now reached a level of maturity that allows us to ask both formal and interpretive questions on a solid footing. All this only applies to the regime in which quantum field theory in curved spacetime remains valid: nothing can yet be said about measurements at the Planck energy, where quantum gravitational effects are expected to become important. This thesis presents an introduction to the theory of measurements in non-relativistic and relativistic quantum mechanics, along with four original research articles that explore aspects of measurements in both fields, as well as the potential extension of measurement theory to the domain of quantum gravity. The first article examines the limitations of realistic measurement apparatuses in non-relativistic quantum theory, establishing reasonable bounds for the precision that can be achieved with a given apparatus composed of many quantum components. The second article explores how to extract information from a newly introduced class of quantum systems, defined as those that cannot be replicated and thus fall outside the usual scope of quantum mechanics. Then, it applies the methodology to quantum field theory, demonstrating that classical results, such as the Unruh effect, can still be observed in this setting. The third article discusses detector-based measurements in quantum field theory. This is a recently proposed method that extends the non-relativistic measurement postulate to the relativistic regime by means of Unruh-de Witt detectors. The article highlights some conceptual and mathematical issues with the framework and proposes a solution using algebraic quantum field theory. The outcome is a self-consistent scheme for introducing local measurements in quantum field theory via measuring detectors. Finally, the fourth article uses the measurement scheme above to study how what we learned in the past years about local measurements can be extended to quantum gravity. This is achieved through the holographic principle realised in terms of the AdS-CFT correspondence. In conclusion, this thesis contributes to the development of both non-relativistic and relativistic measurement theories and introduces ideas and questions related to the role of measurement in quantum gravity. Though preliminary, this work opens a pathway toward studying measuring observers in quantum gravity.
An enquiry into the physical nature of time and space and into the ontology of quantum mechanics from a metageometric perspective, resulting from the belief that geometric thought and language are powerless to farther understanding of these issues, restricting instead physical progress. The nature and assumptions of quantum gravity are analysed critically, including misgivings about the relevance of the Planck scale to it and its lack of observational referent in the natural world. The anthropic foundations of geometry are investigated. The exclusive use of geometric thought from antiquity to present-day physics is found to permeate all new attempts towards better theories, including quantum gravity and, within it, even pregeometry. The problem of the ether is found to have perpetuated itself up to the present by transmuting its form from mechanical, through metric, to geometric. A clarification is made of the physical, mathematical, and psychological foundations of relativity and quantum theories. The former is founded geometrically on measurement-based clock-reading separations ds. The latter is founded metageometrically on the experiment-based concepts of premeasurement and transition things, inspired in the physically unexplored aspect of time as a consciousness-related product. A concept of metageometric time is developed and coordinate time t is recovered from it. Discovery of the connection between quantum-mechanical metageometric time elements and general-relativistic clock time elements ds is deemed necessary for a combined understanding of time. Time is conjectured to be the missing link between general relativity and quantum mechanics.