The Fermi-Pasta-Ulam problem as a challenge for the foundations of physics.
The Fermi-Pasta-Ulam (FPU) problem is discussed in connection with its physical relevance, and it is shown how apparently there exist only two possibilities: either the FPU problem is just a curiosity, or it has a fundamental role for the foundations of physics, casting a new light on the relations between classical and quantum mechanics. To this end, a short review is given of the main conceptual proposals that have been advanced. Particular emphasis is given to the perspective of a metaequilibrium scenario, which appears to be the only possible one for the FPU paradox to survive in the physically relevant case of infinitely many particles.
Carati
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Università di Milano, Dipartimento di Matematica, Via Saldini 50, 20133 Milan, Italy.
Galgani
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Giorgilli
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