# Quantum cosmology based on discrete Feynman paths

## Abstract

Although the rules for interpreting local quantum theory imply discretization of process, Lorentz covariance is usually regarded as precluding time quantization. Nevertheless a time-discretized quantum representation of redshifting spatially-homogeneous universe may be based on discrete-step Feynman paths carrying causal Lorentz-invariant action--paths that not only propagate the wave function but provide a phenomenologically-promising elementary-particle Hilbert-space basis. In a model under development, local path steps are at Planck scale while, at a much larger ''wave-function scale'', global steps separate successive wave-functions. Wave-function spacetime is but a tiny fraction of path spacetime. Electromagnetic and gravitational actions are ''at a distance'' in Wheeler-Feynman sense while strong (color) and weak (isospin) actions, as well as action of particle motion, are ''local'' in a sense paralleling the action of local field theory. ''Nonmaterial'' path segments and ''trivial events'' collaborate to define energy and gravity. Photons coupled to conserved electric charge enjoy privileged model status among elementary fermions and vector bosons. Although real path parameters provide no immediate meaning for ''measurement'', the phase of the complex wave function allows significance for ''information'' accumulated through ''gentle'' electromagnetic events involving charged matter and ''soft'' photons. Through its soft-photon content the wave function is an ''information reservoir''.

- Authors:

- Publication Date:

- Research Org.:
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

- Sponsoring Org.:
- USDOE Director, Office of Science. Office of High Energy and Nuclear Physics (US)

- OSTI Identifier:
- 806128

- Report Number(s):
- LBNL-51634

R&D Project: 417001; B& R KA0401010; TRN: US0301154

- DOE Contract Number:
- AC03-76SF00098

- Resource Type:
- Conference

- Resource Relation:
- Conference: International Workshop on Possible Developments in Quantum Theory in the 21st Century, Philadelphia, PA (US), 09/24/2002--09/27/2002; Other Information: PBD: 10 Oct 2002

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOSONS; COLOR; COSMOLOGY; ELECTRIC CHARGES; FERMIONS; HILBERT SPACE; ISOSPIN; PHOTONS; QUANTIZATION; UNIVERSE; VECTORS; WAVE FUNCTIONS

### Citation Formats

```
Chew, Geoffrey F.
```*Quantum cosmology based on discrete Feynman paths*. United States: N. p., 2002.
Web.

```
Chew, Geoffrey F.
```*Quantum cosmology based on discrete Feynman paths*. United States.

```
Chew, Geoffrey F. Thu .
"Quantum cosmology based on discrete Feynman paths". United States. https://www.osti.gov/servlets/purl/806128.
```

```
@article{osti_806128,
```

title = {Quantum cosmology based on discrete Feynman paths},

author = {Chew, Geoffrey F},

abstractNote = {Although the rules for interpreting local quantum theory imply discretization of process, Lorentz covariance is usually regarded as precluding time quantization. Nevertheless a time-discretized quantum representation of redshifting spatially-homogeneous universe may be based on discrete-step Feynman paths carrying causal Lorentz-invariant action--paths that not only propagate the wave function but provide a phenomenologically-promising elementary-particle Hilbert-space basis. In a model under development, local path steps are at Planck scale while, at a much larger ''wave-function scale'', global steps separate successive wave-functions. Wave-function spacetime is but a tiny fraction of path spacetime. Electromagnetic and gravitational actions are ''at a distance'' in Wheeler-Feynman sense while strong (color) and weak (isospin) actions, as well as action of particle motion, are ''local'' in a sense paralleling the action of local field theory. ''Nonmaterial'' path segments and ''trivial events'' collaborate to define energy and gravity. Photons coupled to conserved electric charge enjoy privileged model status among elementary fermions and vector bosons. Although real path parameters provide no immediate meaning for ''measurement'', the phase of the complex wave function allows significance for ''information'' accumulated through ''gentle'' electromagnetic events involving charged matter and ''soft'' photons. Through its soft-photon content the wave function is an ''information reservoir''.},

doi = {},

journal = {},

number = ,

volume = ,

place = {United States},

year = {2002},

month = {10}

}