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Inequivalence of interior and exterior dynamical problems

Technical Report:

Abstract

We begin a series of notes with the review of the historical distinction by Lagrange, Hamilton, Jacobi and other Founding Fathers of analytic dynamics, between the exteriordynamical problem, consisting of motion in vacuum under action-at-a-distance interactions, and the interior dynamical problem, consisting of motion within a resistive medium with the additional presence of contact, nonlinear, nonlocal and nonhamiltonian internal forces. After recalling some of the historical reasons that led to the contemporary, virtually complete restriction of research to the exterior problem, we show that the interior dynamical problem cannot be reduced to the exterior one. This establishes the open character of the central objective of these notes: the identification of the space-time symmetries and relativities that are applicable to interior, nonlinear, nonlocal and nonhamiltonian systems. (author). 29 refs.
Authors:
Publication Date:
Sep 01, 1991
Product Type:
Technical Report
Report Number:
IC-91/258
Reference Number:
SCA: 661100; PA: AIX-23:015322; SN: 92000647051
Resource Relation:
Other Information: PBD: Sep 1991
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; SYMMETRY; CLASSICAL MECHANICS; QUANTUM MECHANICS; DYNAMICS; HISTORICAL ASPECTS; LOCALITY; SPACE-TIME; 661100; CLASSICAL AND QUANTUM MECHANICS
OSTI ID:
10113295
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE92615214; TRN: XA9130258015322
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
14 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Santilli, R M. Inequivalence of interior and exterior dynamical problems. IAEA: N. p., 1991. Web.
Santilli, R M. Inequivalence of interior and exterior dynamical problems. IAEA.
Santilli, R M. 1991. "Inequivalence of interior and exterior dynamical problems." IAEA.
@misc{etde_10113295,
title = {Inequivalence of interior and exterior dynamical problems}
author = {Santilli, R M}
abstractNote = {We begin a series of notes with the review of the historical distinction by Lagrange, Hamilton, Jacobi and other Founding Fathers of analytic dynamics, between the exteriordynamical problem, consisting of motion in vacuum under action-at-a-distance interactions, and the interior dynamical problem, consisting of motion within a resistive medium with the additional presence of contact, nonlinear, nonlocal and nonhamiltonian internal forces. After recalling some of the historical reasons that led to the contemporary, virtually complete restriction of research to the exterior problem, we show that the interior dynamical problem cannot be reduced to the exterior one. This establishes the open character of the central objective of these notes: the identification of the space-time symmetries and relativities that are applicable to interior, nonlinear, nonlocal and nonhamiltonian systems. (author). 29 refs.}
place = {IAEA}
year = {1991}
month = {Sep}
}