47 citations · 87 across the 29 of their papers we have counts for
4 papers · 1 filter
Entropy is complexity
Adonai S. Sant'Anna
In a recent paper Andrei N. Soklakov explained the foundations of the Lagrangian formulation of classical particle mechanics by means of Kolmogorov complexity. In the present paper…
Time is dispensable in thermodynamics
Newton C. A. da Costa, Adonai S. Sant'Anna
We use Padoa's principle of independence of primitive symbols in axiomatic systems in order to show that time is dispensable in continuum thermodynamics, according to the axiomatic…
The Atiyah-Singer fixed point theorem and the gauge field copy problem
Adonai S. Sant'Anna
A condition for the existence of false gauge field copies in terms of the Lefschetz number of a certain differential operator is presented.
The Atiyah-Singer index theorem and the gauge field copy problem
Adonai S. Sant'Anna, Newton C. A. da Costa, Francisco A. Doria
K-theory allows us to define an analytical condition for the existence of `false' gauge field copies through the use of the Atiyah-Singer index theorem. After establishing that res…