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arXiv 1012.2536quant-ph
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现实主义与真正的随机性相容吗?

Is realism compatible with true randomness ?

Nicolas Gisin

摘要:

有人认为,现实主义和真正的随机性是完全兼容的。现实的真随机事件是纯粹的创造行为,遵守严格的法律,但不一定满足柯尔莫哥洛夫的概率公理。现实的真正随机性是某种不确定性的力量,或者是物理系统在某种条件下表现出某种特性的倾向。现实随机事件反映了预先存在的属性,正如现实主义所要求的那样,只是反映不是确定性的;然而,预先存在的属性决定了不同可能事件的倾向。有人认为,量子物理学的确定性扩展必然与狭义相对论不相容。因此,从今天对贝尔不等式的违反可以得出结论,所有未来的物理学理论都将像量子物理学一样表现出真正的随机性。有人认为,接受真正的随机性和现实主义导致新的问题与有趣的答案,允许一个1)研究非定域性的配置与许多独立的来源和2)绑定多少自由意志是需要一个适当的违反贝尔不等式。

英文摘要:

It is argued that realism and true randomness are fully compatible. Realistic true random events are acts of pure creation that obey strict laws, but do not necessarily satisfy Kolmogorov's axioms of probabilities. Realistic true randomness is some sort of nondeterministic force, or propensity of physical systems to manifest such and such properties under such and such conditions. Realistic random events reflect preexisting properties, as required by realism, simply the reflection is not deterministic; still, the preexisting properties determine the propensities of the different possible events. It is argued that deterministic extensions of quantum physics are necessarily incompatible with special relativity. Hence, from today's violations of Bell's inequalities one can conclude that all future physics theories will display true randomness as does quantum physics. It is argued that accepting true randomness and realism leads to new questions with interesting answers, allowing one 1) to study nonlocality in configurations with many independent sources and 2) to bound how much free will is needed for a proper violation of Bell's inequality.

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