A microrealistic explanation of fundamental quantum phenomena

Terence William Barrett

Nicholas Maxwell

Paul J. Werbos

Alisa Bokulich

… there is something in this more than natural, if philosophy could find it out. Shakespeare , Hamlet, Act 2 Scene 2 Introduction The philosophical importance of semiclassical appeals to classical structures in explaining quantum phenomena was first recognized by Robert Batterman (1993; 1995; 2002). More generally, Batterman has argued that when it comes to explaining phenomena in the asymptotic domain between two theories, the fundamental theory describing that domain is often explanatorily deficient, and an adequate explanation must make essential reference to the less fundamental theory. For example, in discussing the relation between classical and quantum mechanics, Batterman writes, “There are many aspects of the semiclassical limit of quantum mechanics that cannot be explained purely in quantum mechanical terms, though they are in some sense quantum mechanical … [T]hese quantum mechanical features require reference to classical properties for their full explanation” (Batterman 2002, pp. 109–10). He has extended these arguments to other theory pairs with singular limits as well, arguing that in optics, for example, one finds explanations of wave-theoretic phenomena that make an essential and ineliminable appeal to ray-theoretic structures such as caustics. More recently, Batterman's arguments have been the subject of considerable criticism from figures such as Clifford Hooker (2004), Michael Redhead (2004), and Gordon Belot (2005). These criticisms have tended to cluster around the following two assumptions: First, in saying that a classical structure (such as a trajectory or caustic) explains , one is thereby committed to the claim that the structure exists .

А. А. Кецарис

The article shows that quantum phenomena can be explained by the algebraic structure of space of the fundamental physical value of action. The eigenvalue operator problem is obtained as a consequence of an algebraic action vector multiplication law, existence of which we conceded. Thus we come to the explanation of quantum phenomena by the algebraic structure of the space of action vectors. Also the authors planned the path for explanations of types of quantum operators in relation to classical differentiation operators: multipliers included into the structure constants can be transferred to the operators of differentiation. Such multipliers include imaginary unit. In addition, it was established understanding of wave function as a partial differential of an action vector.

J. W. G. Wignall