NEW DRAFT "THEORIES REDUCING TO QUANTUM MECHANICS, QUANTUM ELECTRODYNAMICS DOESN'T"
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From: CfCS on 28 Jun 2010 15:40 NEW DRAFT "THEORIES REDUCING TO QUANTUM MECHANICS, QUANTUM ELECTRODYNAMICS DOESN'T" This 49 pages /Research/ draft analyzes the internal consistency of different quantum theories of electrodynamics, their compatibility with quantum mechanics, and their confrontation with experiments and observations. The theories considered are: relativistic quantum electrodynamics - both "field" and "spacetime" formulations-; Stefanovich relativistic quantum dynamics; and Stückelberg, Horwitz, & Piron action-at-a-distance quantum theory. This /Research/ report extends, to the quantum domain, the classical results obtained before (PRE 1997, 53, 5373; PRE 1998, 57, 3683; CSR:20093) and shows that *(i)* the assertions that relativistic quantum electrodynamics reduces to quantum mechanics as well as *(ii)* the assertion that the static-field-low-velocity relativistic equations are identical to the Schrödinger equation of motion do not hold up on close inspection. For instance, the Coulombian quantum potential operator phi = phi\(R\(t\)\) cannot be reproduced by the field potential operators (\ab v)phi = (\ab v)phi\((\ab v)x, (\ab v)t\) of relativistic quantum electrodynamics in any limit. It is also explained that some observational difficulties of relativistic quantum theories -such as the localization of elementary particles- are related to their lack of compatibility with quantum mechanics. Among the theories revised, only that proposed by Stückelberg, Horwitz, & Piron reduces to quantum mechanics. One of the main findings of this /Research/ report is that the theories revised belong to one of two /incompatible classes/, extending and generalizing the incompatibility between relativistic quantum electrodynamics and quantum mechanics first denounced by Dirac. The main /pros/ and /cons/ for each kind are presented. Finally, this /Research/ report introduces the new *post-relativistic* quantum theory and discusses its possibilities and advantages over current theories. This draft is being reviewed by a number of experts in quantum theory, particle physics, Stückelberg relativistic dynamics, and others. This /Research/ draft may be downloaded from http://www.canonicalscience.org/publications/drafts.html ################## FULL NEWS AND BLOG ################## http://www.canonicalscience.org/publications/canonicalsciencetoday/canonicalsciencetoday.html http://www.canonicalscience.org/publications/canonicalsciencetoday/20100628..html |