Quantum dynamics via Planck-scale-stepped action-carrying 'Graph Paths'

Chew, Geoffrey F.

Lawrence Berkeley National Laboratory

关键词: Rest Mass;    Space-Time Planck Scale Quantum Dynamics;    Scalars;    Precursor;    71 Classical And Quantum Mechanics, General Physics;   

DOI  :  10.2172/813522
RP-ID  :  LBNL--52617
RP-ID  :  AC03-76SF00098
RP-ID  :  813522

美国|英语

来源: UNT Digital Library

【 摘 要 】

A divergence-free, parameter-free, path-based discrete-time quantum dynamics is designed to not only enlarge the achievements of general relativity and the standard particle model, by approximations at spacetime scales far above Planck scale while far below Hubble scale, but to allow tackling of hitherto inaccessible questions. ''Path space'' is larger than and precursor to Hilbert-space basis. The wave-function-propagating paths are action-carrying structured graphs-cubic and quartic structured vertices connected by structured ''fermionic'' or ''bosonic'' ''particle'' and ''nonparticle'' arcs. A Planck-scale path step determines the gravitational constant while controlling all graph structure. The basis of the theory's (zero-rest-mass) elementary-particle Hilbert space (which includes neither gravitons nor scalar bosons) resides in particle arcs. Nonparticle arcs within a path are responsible for energy and rest mass.