Caticha Ariel
Physics Department, University at Albany-SUNY, Albany, NY 12222, USA.
Entropy (Basel). 2025 Mar 18;27(3):315. doi: 10.3390/e27030315.
Entropic Dynamics (ED) provides a framework that allows the reconstruction of the formalism of quantum mechanics by insisting on ontological and epistemic clarity and adopting entropic methods and information geometry. Our present goal is to extend the ED framework to account for spin. The result is a ψ in which the ontology consists of a particle described by a definite position plus a discrete variable that describes Pauli's peculiar two-valuedness. The resulting dynamics of probabilities is, as might be expected, described by the Pauli equation. What may be unexpected is that the generators of transformations-Hamiltonians and angular momenta, including spin, are all granted clear epistemic status. To the old question, 'what is spinning?' ED provides a crisp answer: .
熵动力学(ED)提供了一个框架,通过坚持本体论和认知的清晰性,并采用熵方法和信息几何,允许重建量子力学的形式体系。我们目前的目标是扩展ED框架以纳入自旋。结果得到一个ψ,其中本体由一个由确定位置描述的粒子加上一个描述泡利独特二值性的离散变量组成。正如所预期的那样,概率的最终动力学由泡利方程描述。可能出乎意料的是,变换的生成元——哈密顿量和角动量,包括自旋,都被赋予了清晰的认知地位。对于“什么在自旋?”这个老问题,ED给出了一个明确的答案: 。