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Quantum Gravity from the Composition of Spacetime Constructed through Generalised Proper Time
General Physics · Submitted 28 Aug 2020
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We describe a theory amalgamating quantum theory and general relativity through the identification of a continuous 4-dimensional spacetime arena constructed from the substructures of a generalised multi-dimensional form for proper time.
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The abstract, sentence by sentence
We describe a theory amalgamating quantum theory and general relativity through the identification of a continuous 4-dimensional spacetime arena constructed from the substructures of a generalised multi-dimensional form for proper time. In beginning with neither a matter field content nor the geometric structure of an extended 4-dimensional spacetime the properties of these entities, together with their mutual correspondence, are derived through the constraints implied in founding the theory upon the general form of proper time alone. The geometric structure of the spacetime identified exhibits a locally degenerate description in terms of an inherent ambiguity in the apparent matter field content, in a manner consistent with the Einstein field equation of general relativity while also incorporating an intrinsic indeterminacy that is characteristic of quantum phenomena. Here the quantum properties of all non-gravitational fields arise from this composition of spacetime, rather than via a postulated set of rules applied in spacetime to be extended and applied to the gravitational field or spacetime itself. The contrast with several other approaches to quantum gravity and the manner in which this framework can incorporate the essential properties of general relativity and quantum theory, both individually and in combination, will be elaborated. While emphasis will be upon providing a unifying conceptual basis the development of the associated mathematical framework will also be described.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We describe a theory amalgamating quantum theory and general relativity through the identification of a continuous 4-dimensional spacetime arena constructed from the substructures of a generalised multi-dimensional form for proper time. | contribution 1.00 | 0.87 | 0.45 | asserted 1.00 |
| s1 | In beginning with neither a matter field content nor the geometric structure of an extended 4-dimensional spacetime the properties of these entities, together with their mutual correspondence, are derived through the constraints implied in founding the theory upon the general form of proper time alone. | method 0.79 | 0.84 | 0.12 | asserted 1.00 |
| s2 | The geometric structure of the spacetime identified exhibits a locally degenerate description in terms of an inherent ambiguity in the apparent matter field content, in a manner consistent with the Einstein field equation of general relativity while also incorporating an intrinsic indeterminacy that is characteristic of quantum phenomena. | result 0.84 | 0.80 | 0.26 | asserted 0.54 |
| s3 | Here the quantum properties of all non-gravitational fields arise from this composition of spacetime, rather than via a postulated set of rules applied in spacetime to be extended and applied to the gravitational field or spacetime itself. | contribution 0.43 | 0.74 | 0.38 | asserted 1.00 |
| s4 | The contrast with several other approaches to quantum gravity and the manner in which this framework can incorporate the essential properties of general relativity and quantum theory, both individually and in combination, will be elaborated. | contribution 0.64 | 0.32 | 0.06 | asserted 0.47 |
| s5 | While emphasis will be upon providing a unifying conceptual basis the development of the associated mathematical framework will also be described. | contribution 0.69 | 0.47 | 0.04 | asserted 0.76 |
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The paper
Original abstract
We describe a theory amalgamating quantum theory and general relativity through the identification of a continuous 4-dimensional spacetime arena constructed from the substructures of a generalised multi-dimensional form for proper time. In beginning with neither a matter field content nor the geometric structure of an extended 4-dimensional spacetime the properties of these entities, together with their mutual correspondence, are derived through the constraints implied in founding the theory upon the general form of proper time alone. The geometric structure of the spacetime identified exhibits a locally degenerate description in terms of an inherent ambiguity in the apparent matter field content, in a manner consistent with the Einstein field equation of general relativity while also incorporating an intrinsic indeterminacy that is characteristic of quantum phenomena. Here the quantum properties of all non-gravitational fields arise from this composition of spacetime, rather than via a postulated set of rules applied in spacetime to be extended and applied to the gravitational field or spacetime itself. The contrast with several other approaches to quantum gravity and the manner in which this framework can incorporate the essential properties of general relativity and quantum theory, both individually and in combination, will be elaborated. While emphasis will be upon providing a unifying conceptual basis the development of the associated mathematical framework will also be described.
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How the literature uses it
3 arXiv papers cite this in 31 sentences
Papers citing it · 27 sentences without a confident label
Cites it as support 2 papers
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In this manner structures can be identified coherently combining both the principles of general relativity and the phenomena of quantum theory, hence incorporating a candidate for a consistent scheme of `quantum gravity' [ref] .
Unification through Generalised Proper Time: The Short Story · Physical Realisation · 0.98
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As a unification scheme the approach of generalised proper time has achieved a series of successes in accommodating the Standard Model of particle physics [ref] , providing a framework for unifying general relativity with quantum theory [ref] , and implying dark energy and dark matter candidates ( [ref] section 4).
Generalised Proper Time and the Universal Bootstrap · Introduction · 0.97
What it cites · 189 sentences without a confident label
Builds on 1 paper
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The related empirical phenomenon of `running coupling' ( [ref] equation 11.47 and figure 11.10) should, on making the connections from right to left through equation [ref], also be a property identified for the present theory, which in addition should directly apply for an arbitrarily high energy scale.
Unification in One Dimension · Quantum Field Theory Limit · 0.81
Cites as background 13 papers
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Theories with extra spatial dimensions typically conceive of our familiar world of spacetime as an embedded submanifold within an extended higher-dimensional bulk space that may or may not be compactified down to the preferred extended 4-dimensional spacetime ( [ref] opening of subsection 2.2 and references therein).
Generalised Proper Time as a Unifying Basis for Models with Two Right-Handed Neutrinos · Generalised Proper Time as a Unifying Basis · 0.96
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In general relativity with the Einstein equation [ref] derived via the Einstein-Hilbert action the energy-momentum $T^μν(x)$ on the right-hand side is defined in terms of a matter Lagrangian $$ ( [ref] equations 3.79–3.85).
Unification in One Dimension · Constraints on Solutions and Ricci Curvature Waves · 0.93
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There is however an historical connection with unified field theories as a generalisation of general relativity as noted in section [ref] (citing [ref] subsections 1.2 and 5.1, [ref] ).
From Unified Field Theory to the Standard Model and Beyond · For a General Curved Spacetime · 0.83
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