Superdeterminism without Conspiracy

UNIVERSE(2024)

引用 0|浏览2
暂无评分
摘要
Superdeterminism-where the Measurement Independence assumption in Bell's Theorem is violated-is frequently assumed to imply implausibly conspiratorial correlations between properties lambda of particles being measured and measurement settings x and y. But it does not have to be so: a superdeterministic but non-conspiratorial locally causal model is developed where each pair of entangled particles has unique lambda. The model is based on a specific but arbitrarily fine discretisation of complex Hilbert space, where lambda defines the information, over and above the freely chosen nominal settings x and y, which fixes the exact measurement settings X and Y of a run of a Bell experiment. Pearlean interventions, needed to assess whether x and y are Bell-type free variables, are shown to be inconsistent with rational-number constraints on the discretised Hilbert states. These constraints limit the post-hoc freedom to vary x keeping lambda and y fixed but disappear with any coarse-graining of lambda, X, and Y, rendering so-called drug-trial conspiracies irrelevant. Points in the discretised space can be realised as ensembles of symbolically labelled deterministic trajectories on an 'all-at-once' fractal attractor. It is shown how quantum mechanics might be 'gloriously explained and derived' as the singular continuum limit of the discretisation of Hilbert space. It is argued that the real message behind Bell's Theorem has less to do with locality, realism, or freedom to choose, and more to do with the need to develop more explicitly holistic theories when attempting to synthesise quantum and gravitational physics.
更多
查看译文
关键词
superdeterminism,conspiracy,measurement-independence,Bell's Inequality
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要