TL;DR
This paper establishes a mathematical transformation linking solutions derived from Shannon and Tsallis entropies in maximum entropy problems, showing they are equivalent in informational content despite different forms.
Contribution
It introduces a novel transformation that connects Shannon and Tsallis entropy solutions, unifying their maximum entropy formulations.
Findings
Shannon and Tsallis maximum entropy solutions are equivalent via the proposed transformation.
The transformation reveals that different entropy-based solutions encode the same information.
The work provides a theoretical bridge between two prominent entropy measures.
Abstract
We determine a general link between two different solutions of the MaxEnt variational problem, namely, the ones that correspond to using either Shannon's or Tsallis' entropies in the concomitant variational problem. It is shown that the two variations lead to equivalent solutions that take different appearances but contain the same information. These solutions are linked by our transformation.
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