Emergent Phenomena in Nature: A Paradox with Theory?

被引：0
作者：
Christiaan J. F. van de Ven
机构：
[1] Julius-Maximilians-Universität Würzburg,
来源：
Foundations of Physics | 2023年 / 53卷
关键词：
Spontaneous symmetry breaking; Asymptotic emergence; Algebraic quantum theory; Quantum spin system; Schrödinger operator;
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摘要：
The existence of various physical phenomena stems from the concept called asymptotic emergence, that is, they seem to be exclusively reserved for certain limiting theories. Important examples are spontaneous symmetry breaking (SSB) and phase transitions: these would only occur in the classical or thermodynamic limit of underlying finite quantum systems, since for finite quantum systems, due to the uniqueness of the relevant states, such phenomena are excluded by Theory. In Nature, however, finite quantum systems describing real materials clearly exhibit such effects. In this paper we discuss these apparently “paradoxical” phenomena and outline various ideas and mechanisms that encompass both theory and reality, from physical and mathematical points of view.
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  • [1] Ardourel V(2018)The infinite limit as an eliminable approximation for phase transitions Stud. Hist. Philos. Sci. Part B 62 71-84
  • [2] Wu J(2021)Explaining universality: infinite limit systems in the renormalization group method Synthese 199 14897-14930
  • [3] Butterfield J(2011)Less is different: emergence and reduction reconciled Found. Phys. 41 1065-1135
  • [4] Landsman K(2020)Strict deformation quantization of the state space of Rev. Math. Phys. 32 2050031-69
  • [5] Moretti V(2022) with applications to the Curie-Weiss model Int. J. Geom. Methods Mod. Phys. 19 2250003-236
  • [6] van de Ven CJF(2022)The classical limit of Schrödinger operators in the framework of Berezin quantization and spontaneous symmetry breaking as emergent phenomenon Expos. Math. 40 1-75
  • [7] Moretti V(2020)The classical limit and spontaneous symmetry breaking in algebraic quantum theory J. Math. Phys. 61 215-394
  • [8] van de Ven CJF(2021)The classical limit of mean-field quantum theories Found. Phys. 51 57-11
  • [9] van de Ven CJF(1967)Becoming Large, Becoming Infinite: The Anatomy of Thermal Physics and Phase Transitions in Finite Systems Commun. Math. Phys. 5 379-407
  • [10] van de Ven CJF(2000)On the equilibrium states in quantum statistical mechanics J. Stat. Phys. 98 635-174
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