# Introduction to the Lie-admissible treatment of non-potential interactions in Newtonian, statistical, and particle mechanics

## Abstract

Views on the experimental origin, theoretical formulation, and mathematical structure of nonpotential interactions in Newtonian, statistical, and particle mechanics are presented. The simplest but most dominant consideration of this introduction is the expectation that the charge distribution of hadrons is not perfectly rigid, but admits deformations under suitable impacts with other hadrons. These rather natural deformations then imply: (1) the breaking of the SU(2)-spin symmetry for the interior strong problem, with the understanding that conventional, conserved, total spin quantities are recovered in the exterior treatment; (2) the consequential necessary breaking of the T- and P-symmetries, also for the interior strong problem, owing to the explicit dependence of the discrete operators on spin, with the understanding that the center-of-mass trajectories of closed strong systems recover the T- and P-symmetries; and (3) the origin of irreversibility at the most elemental level of nature, via the nonpotential interactions originating from mutual penetrations and overlappings of hadrons under strong interactions.

- Authors:

- Publication Date:

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

- OSTI Identifier:
- 6648602

- Alternate Identifier(s):
- OSTI ID: 6648602

- Report Number(s):
- CONF-820136-

Journal ID: CODEN: HAJOD

- DOE Contract Number:
- AC02-80ER10651

- Resource Type:
- Conference

- Resource Relation:
- Journal Name: Hadronic J.; (United States); Journal Volume: 5:2; Conference: 1. international conference on non-potential interactions and their Lie-admissible treatment, Orleans, France, 5 Jan 1982

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; HADRONS; STRONG INTERACTIONS; ALGEBRAIC FIELD THEORY; LIE GROUPS; CLASSICAL MECHANICS; P INVARIANCE; SPIN; STATISTICAL MECHANICS; SU-2 GROUPS; SYMMETRY BREAKING; T INVARIANCE; ANGULAR MOMENTUM; AXIOMATIC FIELD THEORY; BASIC INTERACTIONS; ELEMENTARY PARTICLES; FIELD THEORIES; INTERACTIONS; INVARIANCE PRINCIPLES; MECHANICS; PARTICLE PROPERTIES; QUANTUM FIELD THEORY; SU GROUPS; SYMMETRY GROUPS 645204* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions & Properties; 657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics; 657006 -- Theoretical Physics-- Statistical Physics & Thermodynamics-- (-1987)

### Citation Formats

```
Santilli, R.M.
```*Introduction to the Lie-admissible treatment of non-potential interactions in Newtonian, statistical, and particle mechanics*. United States: N. p., 1982.
Web.

```
Santilli, R.M.
```*Introduction to the Lie-admissible treatment of non-potential interactions in Newtonian, statistical, and particle mechanics*. United States.

```
Santilli, R.M. Mon .
"Introduction to the Lie-admissible treatment of non-potential interactions in Newtonian, statistical, and particle mechanics". United States.
doi:.
```

```
@article{osti_6648602,
```

title = {Introduction to the Lie-admissible treatment of non-potential interactions in Newtonian, statistical, and particle mechanics},

author = {Santilli, R.M.},

abstractNote = {Views on the experimental origin, theoretical formulation, and mathematical structure of nonpotential interactions in Newtonian, statistical, and particle mechanics are presented. The simplest but most dominant consideration of this introduction is the expectation that the charge distribution of hadrons is not perfectly rigid, but admits deformations under suitable impacts with other hadrons. These rather natural deformations then imply: (1) the breaking of the SU(2)-spin symmetry for the interior strong problem, with the understanding that conventional, conserved, total spin quantities are recovered in the exterior treatment; (2) the consequential necessary breaking of the T- and P-symmetries, also for the interior strong problem, owing to the explicit dependence of the discrete operators on spin, with the understanding that the center-of-mass trajectories of closed strong systems recover the T- and P-symmetries; and (3) the origin of irreversibility at the most elemental level of nature, via the nonpotential interactions originating from mutual penetrations and overlappings of hadrons under strong interactions.},

doi = {},

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

number = ,

volume = 5:2,

place = {United States},

year = {Mon Feb 01 00:00:00 EST 1982},

month = {Mon Feb 01 00:00:00 EST 1982}

}