The Pauli Principle Revisited

Valery Novikov, Eckehart Nolte, A.A. Pomanskii

Bijou Murray Smith

[This is a draaft for comments. The notation is non-standard, but deliberate, to provoke close reading. Komments and korrektions are welcome.] Advanced quantum field theory is not entirely necessary in order to explain the Pauli Exclusion Principle, and hence spin--statistics. What is essential is entanglement structure, in the form of isotropic spin correlation. Reviewing a paper by O'Hara we summarize the result and point out the residual ``mystery'' of spin--statistics, and propose a natural explanation for the phenomenon using the framework of topological 4-geon theory (a gravitational theory of quantum mechanics). We revisit two persistent interpretive problems in quantum theory: (i) the origin of fermionic exchange symmetry, as expressed in the spin--statistics connection and the Pauli exclusion principle, and (ii) the status of so-called ``virtual particles'' associated with internal lines of Feynman diagrams.

Florian Marquardt, Jan von Delft, Robert A. L. Smith +1 more

This is the first in a series of two papers, in which we revisit the problem of decoherence in weak localization. The basic challenge addressed in our work is to calculate the decoherence of electrons interacting with a quantum-mechanical environment while taking proper account of the Pauli principle. First, we review the usual influence functional approach valid for decoherence of electrons due to classical noise, showing along the way how the quantitative accuracy can be improved by properly averaging over closed (rather than unrestricted) random walks. We then use a heuristic approach to show how the Pauli principle may be incorporated into a path-integral description of decoherence in weak localization. This is accomplished by introducing an effective modification of the quantum noise spectrum, after which the calculation proceeds analogous to the case of classical noise. Using this simple but efficient method, which is consistent with much more laborious diagrammatic calculations, we demonstrate how the Pauli principle serves to suppress the decohering effects of quantum fluctuations of the environment, and essentially confirm the classic result of Altshuler, Aronov, and Khmelnitskii [J. Phys. C 15, 7367 (1982)] for the energy-averaged decoherence rate, which vanishes at zero temperature. Going beyond that, we employ our method to calculate explicitly the leading quantum corrections to the classical decoherence rates and to provide a detailed analysis of the energy dependence of the decoherence rate. The basic idea of our approach is general enough to be applicable to the decoherence of degenerate Fermi systems in contexts other than weak localization as well. Paper II will provide a more rigorous diagrammatic basis for our results by rederiving them from a Bethe-Salpeter equation for the Cooperon.

BORA AKTAŞ

Abstract This work revisits the origin of the quantum uncertainty principle by shifting the emphasis from the operator–commutator formalism to the structural properties of phase geometry. Within the standard complex algebra (C₂), phase is indispensable for dynamics yet systematically excluded from measurement outcomes, a separation that is usually regarded as an interpretive necessity. Adopting a Pauli-centered viewpoint, we argue that this exclusion is not epistemic but algebraic in origin. Building on C₃ phase geometry, we propose that a necessary separation exists between visible and hidden phase channels, and we reformulate uncertainty as an unavoidable consequence of measurement operators being definable only on the visible phase channel. Within this framework, we introduce Pauli-style no-go theorems derived from structural inaccessibilities, and we contend that uncertainty should be understood not as measurement noise but as phase-channel inaccessibility.