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arXiv:1309.1730 · Foundations of Physics

Benefits of Objective Collapse Models for Cosmology and Quantum Gravity

Elias Okon, Daniel Sudarsky

Published Feb 1, 2014• 79 citations
arXivHTMLPDF
DOI
10.1007/s10701-014-9772-6

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This article presents a critical–propositional reading of Mason William McElvain’s manuscript A Single Collapse Threshold Linking Cosmology, Gravitation, and Decoherence: FE = 1 ⇔ Senv = ℏ, Parameter-Free Predictions for CMB Peaks, Lensing, and Laboratory Tests in light of Vidamor Cabannas and Denivaldo Silva’s Theory of Objectivity (TO). The study examines the extent to which McElvain’s proposed collapse threshold can be interpreted as a relevant interlocutor for the modal, ontological, and cosmological discipline of TO. The analysis investigates structural compatibilities and tensions between McElvain’s framework and the Seven Absolute Truths of the Theory of Objectivity, with special attention to the roles of distinction, boundary, relational observation, antecedent composition, transcendence, and the emergence of objective regimes. It also articulates the manuscript with phenomenic elements, Inductive Effects, the cosmogonic theorem of TO, and the cosmological Eras developed in the recent bibliography of the Theory of Objectivity. The article argues that McElvain’s model is especially significant insofar as it attempts to formalize the transition from relational information to objective geometric inscription, thereby offering a possible phenomenological and operational bridge between quantum collapse, gravitation, cosmology, and the modal discipline of objectivity. At the same time, the study contends that the manuscript does not attain the deeper ontological level required by TO, since it does not reconstruct the genesis of the universe from Nothingness, does not integrate infinity as the necessary non-element of logical definition, and does not fully ground the transcendent dimension of reality. Accordingly, this paper concludes that McElvain’s proposal should not be treated as an ontological substitute for the Theory of Objectivity, but rather as a potentially fruitful regional formalism for the study of objective transition within an already constituted cosmos. In this sense, the work contributes both to the critical expansion of contemporary foundational physics and to the ongoing development of the Theory of Objectivity as a modal, ontological, and scientific framework. Note by the authors: This analytical study benefited from the analytical support of ChatGPT. Keywords: Theory of Objectivity; Mason William McElvain; quantum collapse; Fisher information; decoherence; gravitation; cosmology; modal ontology; phenomenic elements; Inductive Effects; cosmogonic theorem; philosophy of physics; foundations of physics; objective transition; analytical support of ChatGPT.

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Inspired by possible connections between gravity and foundational question in quantum theory, we consider an approach for the adaptation of objective collapse models to a general relativistic context. We apply these ideas to a list of open problems in cosmology and quantum gravity, such as the emergence of seeds of cosmic structure, the black hole information issue, the problem of time in quantum gravity and, in a more speculative manner, to the nature of dark energy and the origin of the very special initial state of the universe. We conclude that objective collapse models offer a rather promising path to deal with all of these issues.
This article presents a critical–propositional reading of Mason William McElvain’s manuscript A Single Collapse Threshold Linking Cosmology, Gravitation, and Decoherence: FE = 1 ⇔ Senv = ℏ, Parameter-Free Predictions for CMB Peaks, Lensing, and Laboratory Tests in light of Vidamor Cabannas and Denivaldo Silva’s Theory of Objectivity (TO). The study examines the extent to which McElvain’s proposed collapse threshold can be interpreted as a relevant interlocutor for the modal, ontological, and cosmological discipline of TO. The analysis investigates structural compatibilities and tensions between McElvain’s framework and the Seven Absolute Truths of the Theory of Objectivity, with special attention to the roles of distinction, boundary, relational observation, antecedent composition, transcendence, and the emergence of objective regimes. It also articulates the manuscript with phenomenic elements, Inductive Effects, the cosmogonic theorem of TO, and the cosmological Eras developed in the recent bibliography of the Theory of Objectivity. The article argues that McElvain’s model is especially significant insofar as it attempts to formalize the transition from relational information to objective geometric inscription, thereby offering a possible phenomenological and operational bridge between quantum collapse, gravitation, cosmology, and the modal discipline of objectivity. At the same time, the study contends that the manuscript does not attain the deeper ontological level required by TO, since it does not reconstruct the genesis of the universe from Nothingness, does not integrate infinity as the necessary non-element of logical definition, and does not fully ground the transcendent dimension of reality. Accordingly, this paper concludes that McElvain’s proposal should not be treated as an ontological substitute for the Theory of Objectivity, but rather as a potentially fruitful regional formalism for the study of objective transition within an already constituted cosmos. In this sense, the work contributes both to the critical expansion of contemporary foundational physics and to the ongoing development of the Theory of Objectivity as a modal, ontological, and scientific framework. Note by the authors: This analytical study benefited from the analytical support of ChatGPT. Keywords: Theory of Objectivity; Mason William McElvain; quantum collapse; Fisher information; decoherence; gravitation; cosmology; modal ontology; phenomenic elements; Inductive Effects; cosmogonic theorem; philosophy of physics; foundations of physics; objective transition; analytical support of ChatGPT.
A bstract Assuming that Quantum Mechanics is universal and that it can be applied over all scales, then the Universe is allowed to be in a quantum superposition of states, where each of them can correspond to a different space-time geometry. How can one then describe the emergence of the classical, well-defined geometry that we observe? Considering that the decoherence-driven quantum-to-classical transition relies on external physical entities, this process cannot account for the emergence of the classical behaviour of the Universe. Here, we show how models of spontaneous collapse of the wavefunction can offer a viable mechanism for explaining such an emergence. We apply it to a simple General Relativity dynamical model for gravity and a perfect fluid. We show that, by starting from a general quantum superposition of different geometries, the collapse dynamics leads to a single geometry, thus providing a possible mechanism for the quantum-to-classical transition of the Universe. Similarly, when applying our dynamics to the physically-equivalent Parametrised Unimodular gravity model, we obtain a collapse on the basis of the cosmological constant, where eventually one precise value is selected, thus providing also a viable explanation for the cosmological constant problem. Our formalism can be easily applied to other quantum cosmological models where we can choose a well-defined clock variable.