Particle-unparticle duality in super-relativity

TL;DR

This paper introduces a novel approach to unify relativity and quantum theory through generalized coherent states, leading to the emergence of space-time from quantum measurement without relying on traditional notions of particles or coordinates.

Contribution

It proposes a new method for shaping quantum vacuum excitations using GCS and SU(N) geometry, avoiding predefined notions of particles and space-time.

Findings

Emergence of 4D space-time from quantum measurement

Morphogenesis of GCS field shell in DST for N=2

Unification framework based on SU(N) geometry

Abstract

New method of shaping quantum "particle - unparticle" vacuum excitations has been proposed in the framework of unification of relativity and quantum theory. Such unification is based solely on the notion of generalized coherent state (GCS) of N-level system and the geometry of unitary group SU(N) acting in state space $C^N$. Initially, neither contradictable notion of quantum particle, nor space-time coordinates (that cannot be a priori attached to nothing) are used in this construction. Quantum measurement of local dynamical variables (LDV) leads to the emergence of 4D dynamical space-time (DST). Morphogenesis of the "field shell" of GCS and its dynamics have been studied for N=2 in DST.