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pro vyhledávání: '"Budinich, Paolo"'
Autor:
Budinich, Paolo
In a previous paper [1] we proposed a purely mathematical way to quantum mechanics based on Cartan's simple spinors in their most elementary form of 2 component spinors. Here we proceed along that path proposing, this time, a symmetric tensor, quadri
Externí odkaz:
http://arxiv.org/abs/0905.2902
Autor:
Budinich, Paolo
In the search of a mathematical basis for quantum mechanics, in order to render it self-consistent and rationally understandable, we find that the best approach is to adopt E. Cartan's way for discovering spinors; that is to start from 3-dimensional
Externí odkaz:
http://arxiv.org/abs/0803.3882
Autor:
Budinich, Marco, Budinich, Paolo
Publikováno v:
J. Math. Phys. 47, 043502 (2006)
We present a new formulation of the maximum clique problem of a graph in complex space. We start observing that the adjacency matrix A of a graph can always be written in the form A = B B where B is a complex, symmetric matrix formed by vectors of ze
Externí odkaz:
http://arxiv.org/abs/math-ph/0603068
Autor:
Budinich, Paolo
The equations defining pure spinors are interpreted as equations of motion formulated on the lightcone of a ten-dimensional, lorentzian, momentum space. Most of the equations for fermion multiplets, usually adopted by particle physics, are then natur
Externí odkaz:
http://arxiv.org/abs/hep-th/0207216
Autor:
Budinich, Paolo
Publikováno v:
Found.Phys. 32 (2002) 1347-1398
The Cartan's equations definig simple spinors (renamed pure by C. Chevalley) are interpreted as equations of motion in momentum spaces, in a constructive approach in which at each step the dimesions of spinor space are doubled while those momentum sp
Externí odkaz:
http://arxiv.org/abs/hep-th/0107158
Autor:
Budinich, Paolo
It is shown how the old Cartan's conjecture on the fundamental role of the geometry of simple (or pure) spinors, as bilinearly underlying euclidean geometry, may be extended also to quantum mechanics of fermions (in first quantization), however in co
Externí odkaz:
http://arxiv.org/abs/hep-th/0102049
Autor:
Budinich, Paolo
Publikováno v:
Found.Phys.Lett. 12 (1999) 455-464
Conformally compactified phase space is conceived as an automorphism space for the global action of the extended conformal group. Space time and momentum space appear then as conformally dual, that is conjugate with respect to conformal reflections.
Externí odkaz:
http://arxiv.org/abs/hep-th/9905045
Autor:
Budinich, Paolo
Publikováno v:
AIP Conf.Proc.453:186-198,1998
Some results from arguments of research dealt with R. Raczka are exposed and extended. In particular new arguments are brought in favor of the conjecture, formulated with him, that both space-time and momentum may be conformally compactified, buildin
Externí odkaz:
http://arxiv.org/abs/hep-th/9809120
Autor:
Budinich, Paolo
Publikováno v:
Fizika A : a journal of experimental and theoretical physics
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Volume 1
Issue 1