Abstract
In this note we further develop the proposal made in preceding works of constructing the infinite family of Lie-isotopic liftings of Galilei`s relativity for closed-isolated systems of particles possessing local, potential and selfadjoint, as well as nonlocal, nonhamiltonian and non selfadjoint internal forces. In particular, we show that the nonlinear and nonlocal generalization of the Galilei transformations introduced in a preceding note do indeed represent motion of extended particles within resistive media, but in such a way to coincide with the conventional transformations at the abstract, realization-free level. This allows the preservation of the basic, physical and mathematical axioms of Galilei`s relativity under our liftings, and their realization in the most general possible nonlinear, nonlocal and nonhamiltonian way. (author). 18 refs, 1 fig.
Citation Formats
Santilli, R M.
Galilei-isotopic relativities.
IAEA: N. p.,
1991.
Web.
Santilli, R M.
Galilei-isotopic relativities.
IAEA.
Santilli, R M.
1991.
"Galilei-isotopic relativities."
IAEA.
@misc{etde_10126076,
title = {Galilei-isotopic relativities}
author = {Santilli, R M}
abstractNote = {In this note we further develop the proposal made in preceding works of constructing the infinite family of Lie-isotopic liftings of Galilei`s relativity for closed-isolated systems of particles possessing local, potential and selfadjoint, as well as nonlocal, nonhamiltonian and non selfadjoint internal forces. In particular, we show that the nonlinear and nonlocal generalization of the Galilei transformations introduced in a preceding note do indeed represent motion of extended particles within resistive media, but in such a way to coincide with the conventional transformations at the abstract, realization-free level. This allows the preservation of the basic, physical and mathematical axioms of Galilei`s relativity under our liftings, and their realization in the most general possible nonlinear, nonlocal and nonhamiltonian way. (author). 18 refs, 1 fig.}
place = {IAEA}
year = {1991}
month = {Sep}
}
title = {Galilei-isotopic relativities}
author = {Santilli, R M}
abstractNote = {In this note we further develop the proposal made in preceding works of constructing the infinite family of Lie-isotopic liftings of Galilei`s relativity for closed-isolated systems of particles possessing local, potential and selfadjoint, as well as nonlocal, nonhamiltonian and non selfadjoint internal forces. In particular, we show that the nonlinear and nonlocal generalization of the Galilei transformations introduced in a preceding note do indeed represent motion of extended particles within resistive media, but in such a way to coincide with the conventional transformations at the abstract, realization-free level. This allows the preservation of the basic, physical and mathematical axioms of Galilei`s relativity under our liftings, and their realization in the most general possible nonlinear, nonlocal and nonhamiltonian way. (author). 18 refs, 1 fig.}
place = {IAEA}
year = {1991}
month = {Sep}
}