TY - RPRT TI - Inequivalence of interior and exterior dynamical problems AB - 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. AU - "Santilli, R M" KW - "71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS" KW - "SYMMETRY" KW - "CLASSICAL MECHANICS" KW - "QUANTUM MECHANICS" KW - "DYNAMICS" KW - "HISTORICAL ASPECTS" KW - "LOCALITY" KW - "SPACE-TIME" KW - "661100" KW - "CLASSICAL AND QUANTUM MECHANICS" DO - https://doi.org/ UR - PB - CY - IAEA PY - 1991 DA - 1991-09-01 LA - English J2 - [] VL - C1 - International Centre for Theoretical Physics (ICTP), Trieste (Italy) C2 - C3 - IC-91/258 C4 - C5 - OSTI; NTIS (US Sales Only); INIS L3 - Other Information: PBD: Sep 1991 ER -