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Nonlinear Dirac equations.

Ng, Wei Khim, Parwani, Rajesh R. (2009)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

On Axiomatic Foundations Common to Classical Physics and Special Relativity

Aldo Bressan (2005)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

(i) The class of the axiomatic foundations mentioned in the title is called Ax Found; and its structure is treated in the introduction. (ii) This consists of Parts A to G followed by the References. (iii) In [17] Bressan's modal logic is treated in a consciously non-rigorous way. Instead here, as well as Ax Found, it has a rigorous treatment. Such a treatment had been appreciated by the mathematical physicist C. Truesdell in [62]. (iv) In 1953 Truesdell had a remarkable...

Qualche osservazione sulle forze centrali in Relatività Ristretta

Luigi Stazi (1995)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

In Relatività Ristretta si caratterizzano le forze centrali per cui le orbite al finito sono necessariamente chiuse ed ellittiche, per qualunque valore dell'energia.

The hyperbolic triangle centroid

Abraham A. Ungar (2004)

Commentationes Mathematicae Universitatis Carolinae

Some gyrocommutative gyrogroups, also known as Bruck loops or K-loops, admit scalar multiplication, turning themselves into gyrovector spaces. The latter, in turn, form the setting for hyperbolic geometry just as vector spaces form the setting for Euclidean geometry. In classical mechanics the centroid of a triangle in velocity space is the velocity of the center of momentum of three massive objects with equal masses located at the triangle vertices. Employing gyrovector space techniques we find...

Where does randomness lead in spacetime?

Ismael Bailleul, Albert Raugi (2010)

ESAIM: Probability and Statistics

We provide an alternative algebraic and geometric approach to the results of [I. Bailleul, Probab. Theory Related Fields141 (2008) 283–329] describing the asymptotic behaviour of the relativistic diffusion.

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