The idea that mind and body are distinct entities that interact is often claimed to be incompatible with physics. The aim of this paper is to disprove this claim. To this end, we construct a broad mathematical framework that describes theories with mind–body interaction (MBI) as an extension of current physical theories. We employ histories theory, i.e., a formulation of physical theories in which a physical system is described in terms of (i) a set of propositions about possible evolutions of the system and (ii) a probability assignment to such propositions. The notion of dynamics is incorporated into the probability rule. As this formulation emphasises logical and probabilistic concepts, it is ontologically neutral. It can be used to describe mental ‘degrees of freedom’ in addition to physical ones. This results into a mathematical framework for psycho-physical interaction (\(\Psi \Phi\)I formalism). Interestingly, a class of \(\Psi \Phi\)I theories turns out to be compatible with energy conservation.

人们通常认为思想和身体是相互作用的不同实体这一观点与物理学是不相容的。本文的目的是证明这一主张。为此，我们构建了一个广泛的数学框架，该框架以心身相互作用（MBI）来描述理论，以此作为当前物理理论的扩展。我们采用历史理论，即物理理论的表述，其中物理系统是根据（i）关于系统可能演化的一组命题和（ii）对该命题的概率分配来描述的。动力学的概念被纳入概率规则。由于此提法强调逻辑和概率概念，因此在本体论上是中立的。它可以用来描述心理上的“自由度”以及身体上的“自由度”。\（\ Psi \ Phi \）我是形式主义）。有趣的是，一类\（\ Psi \ Phi \） I理论证明与节能兼容。