# Structure model of the elementary charge

## Abstract

I formulate the hypothesis that the electrostatic interaction between two electrons, two positrons, or one electron and one positron is explicitly dependent on time according to a pulsating behavior with period T = 0.829 x 10/sup -20/ sec. The hypothesis is motivated by the need to bypass a number of technical difficulties for a deeper understanding of the process e/sup +/ + e/sup -/ ..-->.. 2..gamma.., such as the fact that current relativistic treatments, including retarted and advanced potentials, of one electron and one positron at rest with respect to each other and at small mutual distances produce a null total electromagnetic field, while the total field of two photons is not null. An initial treatment of the hypothesis is presented at the level of the time-dependent perturbation theory. It is shown that, upon selection of a suitable functional form, the time dependence is ignorable for periods of time large compared to 10/sup -20/ sec, as well as for the electrostatic interactions of one electron with a cluster of elementary charges (e.g., a proton). A generalization of the Coulomb law is thus achieved in such a way as to reproduce the conventional law either for large values of time ormore »

- Authors:

- Publication Date:

- Research Org.:
- Inst. for Basic Research, Cambridge, MA

- OSTI Identifier:
- 6697576

- Alternate Identifier(s):
- OSTI ID: 6697576

- Report Number(s):
- CONF-8008162-

Journal ID: CODEN: HAJOD

- DOE Contract Number:
- AC02-80ER10651

- Resource Type:
- Conference

- Resource Relation:
- Journal Name: Hadronic J.; (United States); Journal Volume: 4:3; Conference: 3. workshop on Lie-admissible formulations, Boston, MA, USA, 4 Aug 1980

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ELECTRIC CHARGES; STRUCTURAL MODELS; ELECTROMAGNETIC INTERACTIONS; TIME DEPENDENCE; ELECTRON-POSITRON INTERACTIONS; ANNIHILATION; COULOMB FIELD; ELECTRON-ELECTRON INTERACTIONS; PERTURBATION THEORY; POSITRONS; ANTILEPTONS; ANTIMATTER; ANTIPARTICLES; BASIC INTERACTIONS; ELECTRIC FIELDS; ELEMENTARY PARTICLES; FERMIONS; INTERACTIONS; LEPTON-LEPTON INTERACTIONS; LEPTONS; PARTICLE INTERACTIONS 645202* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Electromagnetic Interactions & Properties

### Citation Formats

```
Santilli, R.M.
```*Structure model of the elementary charge*. United States: N. p., 1981.
Web.

```
Santilli, R.M.
```*Structure model of the elementary charge*. United States.

```
Santilli, R.M. Wed .
"Structure model of the elementary charge". United States.
doi:.
```

```
@article{osti_6697576,
```

title = {Structure model of the elementary charge},

author = {Santilli, R.M.},

abstractNote = {I formulate the hypothesis that the electrostatic interaction between two electrons, two positrons, or one electron and one positron is explicitly dependent on time according to a pulsating behavior with period T = 0.829 x 10/sup -20/ sec. The hypothesis is motivated by the need to bypass a number of technical difficulties for a deeper understanding of the process e/sup +/ + e/sup -/ ..-->.. 2..gamma.., such as the fact that current relativistic treatments, including retarted and advanced potentials, of one electron and one positron at rest with respect to each other and at small mutual distances produce a null total electromagnetic field, while the total field of two photons is not null. An initial treatment of the hypothesis is presented at the level of the time-dependent perturbation theory. It is shown that, upon selection of a suitable functional form, the time dependence is ignorable for periods of time large compared to 10/sup -20/ sec, as well as for the electrostatic interactions of one electron with a cluster of elementary charges (e.g., a proton). A generalization of the Coulomb law is thus achieved in such a way as to reproduce the conventional law either for large values of time or for large collections of elementary charges. The generalization is based on a structure model of the electron charge, in the sense that the charge emerges as derived, via time averages, from structure data of the electron. A generalization of Rutherford's cross section is also identified in which, again, the departures from the conventional form become ignorable for large values of time or for large collections of elementary charges. The possibilities for experimental tests of the prediction of the paper are briefly indicated via the use of (a) resonance effects; (b) more accurate measurements of cross sections; and (c) suitable refinements of the experimental information on the positronium.},

doi = {},

journal = {Hadronic J.; (United States)},

number = ,

volume = 4:3,

place = {United States},

year = {Wed Apr 01 00:00:00 EST 1981},

month = {Wed Apr 01 00:00:00 EST 1981}

}