Avoiding Sparseness in a Flash Ontology

IF 1 3区 物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY
Joe Coles
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引用次数: 0

Abstract

Collapse theories provide one of the main approaches to the quantum measurement problem. Roderich Tumulka’s collapse theory (GRWf) has attracted interest because it offers a relativistic collapse theory. GRWf utilises an ontology of flashes to accommodate EPR-Bell type non-local influences within a relativistic theory, an idea suggested by John Bell. Tim Maudlin raises a concern with Tumulka’s flash ontology, arguing that it is too sparse to convincingly account for certain microscopic phenomena. This paper proposes a modification to GRWf that addresses the problem of sparseness, whilst retaining a relativistic treatment of quantum non-locality. The proposal, referred to as the space-time normalisation interpretation (STN), combines the GRWf flash ontology with a statistical interpretation of the wavefunction. The statistical structure of the interpretation is presented as a Hawkes process, consisting of flashes and an intensity function governing their occurrence. For a single-particle system, the square modulus of a renormalised wavefunction serves as the intensity function of the Hawkes process.

避免Flash本体中的稀疏性
坍缩理论是解决量子测量问题的主要方法之一。罗德里希·图穆卡的坍缩理论(GRWf)引起了人们的兴趣,因为它提供了一种相对论性的坍缩理论。GRWf利用闪光本体来适应相对论理论中的EPR-Bell类型的非局部影响,这是John Bell提出的一个想法。蒂姆·莫德林(Tim Maudlin)对图穆卡的闪光本体提出了担忧,认为它过于稀疏,无法令人信服地解释某些微观现象。本文提出了对GRWf的一种修正,解决了稀疏性问题,同时保留了量子非局域性的相对论性处理。该建议被称为时空归一化解释(STN),将GRWf闪光本体与波函数的统计解释相结合。解释的统计结构呈现为霍克斯过程,由闪光和控制闪光发生的强度函数组成。对于单粒子系统,重归一化波函数的平方模量作为霍克斯过程的强度函数。
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来源期刊
Foundations of Physics
Foundations of Physics 物理-物理:综合
CiteScore
2.70
自引率
6.70%
发文量
104
审稿时长
6-12 weeks
期刊介绍: The conceptual foundations of physics have been under constant revision from the outset, and remain so today. Discussion of foundational issues has always been a major source of progress in science, on a par with empirical knowledge and mathematics. Examples include the debates on the nature of space and time involving Newton and later Einstein; on the nature of heat and of energy; on irreversibility and probability due to Boltzmann; on the nature of matter and observation measurement during the early days of quantum theory; on the meaning of renormalisation, and many others. Today, insightful reflection on the conceptual structure utilised in our efforts to understand the physical world is of particular value, given the serious unsolved problems that are likely to demand, once again, modifications of the grammar of our scientific description of the physical world. The quantum properties of gravity, the nature of measurement in quantum mechanics, the primary source of irreversibility, the role of information in physics – all these are examples of questions about which science is still confused and whose solution may well demand more than skilled mathematics and new experiments. Foundations of Physics is a privileged forum for discussing such foundational issues, open to physicists, cosmologists, philosophers and mathematicians. It is devoted to the conceptual bases of the fundamental theories of physics and cosmology, to their logical, methodological, and philosophical premises. The journal welcomes papers on issues such as the foundations of special and general relativity, quantum theory, classical and quantum field theory, quantum gravity, unified theories, thermodynamics, statistical mechanics, cosmology, and similar.
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