47 citations · 87 across the 29 of their papers we have counts for
6 papers · 1 filter
Indexed identity and fuzzy set theory
Adonai S. Sant'Anna
We introduce the concept of indexed identity, where the usual notion of identity is a particular case. Our mathematical framework allows us a generalized method for `indexing' pred…
Quasi-set-theoretical foundations of statistical mechanics: a research program
Adonai S. Sant'Anna, Alexandre M. S. Santos
Quasi-set theory provides us a mathematical background for dealing with collections of indistinguishable elementary particles. In this paper, we show how to obtain the usual statis…
On the babylonian method of extracting root squares
Vilma A. S. Sant'Anna, Adonai S. Sant'Anna
We discuss the babylonian method of extracting the root square of a number, from the point of view of modern mathematics. We also speculate that the babylonian mathematics was rich…
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…
An axiomatic framework for classical particle mechanics without space-time
Adonai S. Sant'Anna
We present an axiomatic framework for non-relativistic classical particle mechanics, inspired on Tati's ideas about a non-space-time description for physics. The main advantage of…