By S S Schweber

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15 We remark that classical mechanical determinism is rigidly coupled to the mathematical model of space-time, namely to the real continuum. The states of classical systems are given by pairs of real numbers (or by pairs of real vectors). The infinite divisibility of this space plays an important role, cf. with p-adic spaces which have been recently used in theoretical physics [3]. 16 Completeness of quantum mechanics 27 We are well aware of attempts to create models of a so-called quantum brain (see also Chapter 14).

Let us consider the phase space of the system of N particles, R2N , with points (q, p), where q = (q1 , . . , qN ), p = (p1 , . . , pN ). What is the probability density function which indicates the probability to find the first particle at point q1 with momentum p1 , the second particle at point q2 with momentum p2 , . . , the Nth particle at qN with momentum pN ? Since momenta are mass scalings of velocities, the question can be reformulated as: “What is the probability density function of the first particle at point q1 with velocity v1 , the second particle at point q2 with velocity v2 , .

Furthermore, [3] mentions that “In psychology, those, like Freud, who believe in psychic determination in psychiatry, assume that all mental events have causes. Freud believed that the existence of unconscious forces proved psychic determinism to be a fact of mental life . . ” See [4] [5] for an attempt to combine Freudian psychological determinism and free will through the Bohmian quantum model. See also Chapter 6 for the Bohmian mechanics model. com/2011/12/advent-calender-9-prof-jollys-advice.