# Experimental, theoretical, and mathematical elements for a possible Lie-admissible generalization of the notion of particle under strong interactions

## Abstract

A primary objective of the research is the achievement of clear experimental knowledge on the intrinsic characteristics of particles (such as magnetic moment, spin, space parity, etc.) under strong interactions. These characteristics, when known, have been measured a number of times, but all times for particles under long range electromagnetic interactions (e.g., for bubble chamber techniques). The same characteristics are then generally assumed to persist under the different physical conditions of the strong interactions, while no direct or otherwise final measurement under strong interactions exists at this time. The advocated physical knowledge is clearly important for controlled fusion, as well as for a serious study of the foundations of strong interactions. The paper initiates the study by considering the following alternatives. A: the electromagnetic characteristics of particles persist in the transition to the strong; or B: variations in these characteristics are physically conceivable, mathematically treatable, and experimentally detectable. The need to conduct additional experiments, and achieve a final resolution of the issue, is stressed throughout the paper. In the hope of contributing toward this future goal, the paper then reviews the quantitative treatment of possible deviations via the Lie-admissible generalization of Lie's theory, with particular reference to the Lie-admissible generalizationsmore »

- Authors:

- Publication Date:

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

- OSTI Identifier:
- 6938160

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

Journal ID: CODEN: HAJOD; TRN: 83-000874

- DOE Contract Number:
- AC02-80ER10651

- Resource Type:
- Conference

- Resource Relation:
- Journal Name: Hadronic J.; (United States); Journal Volume: 4:4; 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; STRONG INTERACTIONS; LIE GROUPS; PARTICLE PROPERTIES; ALGEBRA; ALGEBRAIC FIELD THEORY; ELECTROMAGNETIC INTERACTIONS; ELEMENTARY PARTICLES; INVARIANCE PRINCIPLES; MAGNETIC MOMENTS; NONLOCAL POTENTIAL; PARITY; SPIN; SU-2 GROUPS; SYMMETRY BREAKING; ANGULAR MOMENTUM; AXIOMATIC FIELD THEORY; BASIC INTERACTIONS; FIELD THEORIES; INTERACTIONS; MATHEMATICS; POTENTIALS; QUANTUM FIELD THEORY; SU GROUPS; SYMMETRY GROUPS; 645204* - High Energy Physics- Particle Interactions & Properties-Theoretical- Strong Interactions & Properties

### Citation Formats

```
Santilli, R.M.
```*Experimental, theoretical, and mathematical elements for a possible Lie-admissible generalization of the notion of particle under strong interactions*. United States: N. p., 1981.
Web.

```
Santilli, R.M.
```*Experimental, theoretical, and mathematical elements for a possible Lie-admissible generalization of the notion of particle under strong interactions*. United States.

```
Santilli, R.M. Mon .
"Experimental, theoretical, and mathematical elements for a possible Lie-admissible generalization of the notion of particle under strong interactions". United States.
doi:.
```

```
@article{osti_6938160,
```

title = {Experimental, theoretical, and mathematical elements for a possible Lie-admissible generalization of the notion of particle under strong interactions},

author = {Santilli, R.M.},

abstractNote = {A primary objective of the research is the achievement of clear experimental knowledge on the intrinsic characteristics of particles (such as magnetic moment, spin, space parity, etc.) under strong interactions. These characteristics, when known, have been measured a number of times, but all times for particles under long range electromagnetic interactions (e.g., for bubble chamber techniques). The same characteristics are then generally assumed to persist under the different physical conditions of the strong interactions, while no direct or otherwise final measurement under strong interactions exists at this time. The advocated physical knowledge is clearly important for controlled fusion, as well as for a serious study of the foundations of strong interactions. The paper initiates the study by considering the following alternatives. A: the electromagnetic characteristics of particles persist in the transition to the strong; or B: variations in these characteristics are physically conceivable, mathematically treatable, and experimentally detectable. The need to conduct additional experiments, and achieve a final resolution of the issue, is stressed throughout the paper. In the hope of contributing toward this future goal, the paper then reviews the quantitative treatment of possible deviations via the Lie-admissible generalization of Lie's theory, with particular reference to the Lie-admissible generalizations of Lie group, Lie algebras, and enveloping associative algebras. A generalized notion of extended particle under nonlocal nonpotential strong interactions emerge from these studies. The theory is applied to the re-elaboration of the data on the spinor symmetry via neutron interferometers. It is shown that the data are indeed consistent with a breaking of the SU(2)-spin symmetry due to nonlocal nonpotential forces. A number of experiments for the future resolution of the issue are indicated.},

doi = {},

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

number = ,

volume = 4:4,

place = {United States},

year = {Mon Jun 01 00:00:00 EDT 1981},

month = {Mon Jun 01 00:00:00 EDT 1981}

}