The holistic structure of causal quantum theory, its implementation in the Einstein-Jordan conundrum and its violation in more recent particle theories

Physics – Mathematical Physics

Scientific paper

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41 pages, expansion of conceptual content and addition of references

Scientific paper

Recent insights into the conceptual structure of localization in QFT ("modular localization") led to clarifications of old unsolved problems. One is the Einstein-Jordan conundrum which led Jordan in 1925 to the discovery of quantum field theory. This comparison of fluctuations in subsystems of heat bath systems (Einstein) and restriction of the QFT vacuum to an open subvolume (Jordan) places localization in QFT into a sharp contrast with quantum mechanics. In fact it positions the E-J Gedankenexperiment into the same conceptual class as the cosmological constant problem and the Unruh Gedankenexperiment. The holistic structure of QFT resulting from "modular" localization also leads to a revision of the conceptual origin of the crucial crossing property which entered particle theory at the time of the bootstrap S-matrix approach but started to spread its incorrect message only in the more concrete S-matrix settings of the dual model and string theory. The new point of view, which strengthens the autonomous aspect of QFT, also comes with new messages for gauge theory by offering a mechanism which allows to conceptually come to terms with the origin of nonlocal aspects of electrical charge-carrying fields (and suggest that there may also be a relation between the on-mass-shell invisibility of gluons and quarks and a strong form of semiinfinite string-localization).

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