Theories of violation of statistics

New Limits on Bosonic Dark Matter, Solar Axions, Pauli Exclusion Principle Violation, and Electron Decay from the Majorana Demonstrator

“…In the low mass limit where β → 1, we find a 90% UL of g Two other non-DM related rare-event searches were carried out using the low energy data and analysis, a Pauli exclusion violating decay, and an electron decay search. While the Pauli exclusion principle is a fundamental law of nature, its physical origin is still not fully understood [39][40][41][42][43][44]. Majorana searched for the PEPV transition of an L-shell Ge electron to the K shell that would manifest as a 10.6 keV [43] shoulder on the 10.36 keV 68 Ge peak.…”

Jacobson generators of the quantum superalgebra Uq[sl(n+1|m)] and Fock representations

“…What are the properties of the underlying statistics is a question still to be answered. [45], parastatistics [15], infinite statistics [46], parons [47], quons [48]) only the quons have the same property. Therefore parallel to quons the A(p, q) ± i operators may appear as another candidate to describe eventual small violations of canonical quantum statistics (see [47] where also experiments for detecting small violations of statistics are discussed).…”

The VIP Experiment

“…Unfortunately it is not straightforward to model the violations dynamically: here we limit our discussion to a few basic facts, and refer the reader to the review papers [2,5,9,12,18] for fuller accounts. In 1987 Ignatiev and Kuzmin cooked up a simple model with three occupation levels [19], and with a modified algebra of the creation and annihilation operators, and have introduced the violation parameter β that is used also in the analysis of the Ramberg and Snow experiment.…”

“…Quons are well-behaved in many respects [18], but they suffer from problems with many-particle statistics (Gibbs paradox, see ref. [18]), and with locality of creationannihilation operators [18].…”

“…Quons are well-behaved in many respects [18], but they suffer from problems with many-particle statistics (Gibbs paradox, see ref. [18]), and with locality of creationannihilation operators [18]. Locality of creation-annihilation operators is one of the basic ingredients of the proof of the spin-statistics connection [4], and violations of locality (and causality) may be considered just bizarre variants of standard phenomenology, but they have a rightful place both in (quasi-)conventional models like the composite electron model of Akama et al [24], and in those theories that incorporate a holographic principle (if the boundary of space-time determines the structure of the interior of space-time, then events separated by spacelike intervals are actually correlated).…”