Veamos hoy que ni aún las matemáticas de la teoría cuántica de campos está a salvo de problemas. Leo a Freeman Dyson:
All through its history, quantum field theory has had two faces, one looking outward, the other looking inward. The outward face looks at nature and gives us numbers that we can calculate and compare with experiments. The inward face looks at mathematical concepts and searches for a consistent foundation on which to build the theory. The outward face shows us brilliantly successful theory, bringing order to the chaos of particle interactions, predicting experimental results with astonishing precision. The inward face shows us a deep mystery. After seventy years of searching, we have found no consistent mathematical basis for the theory. When we try to impose the rigorous standards of pure mathematics, the theory becomes undefined or inconsistent. Prom the point of view of a pure mathematician, the theory does not exist. This is the great unsolved paradox of quantum field theory.
To resolve the paradox, during the last twenty years, quantum field theorists have become string-theorists. String theory is a new version of quantum field theory, exploring the mathematical foundations more deeply and entering a new world of multidimensional geometry. String theory also brings gravitation into the picture, and thereby unifies quantum field theory with general relativity. String theory has already led to important advances in pure mathematics. It has not led to any physical predictions that can be tested by experiment. We do not know whether string theory is a true description of nature. All we know is that it is a rich treasure of new mathematics, with an enticing promise of new physics. During the coming century, string theory will be intensively developed, and, if we are lucky, tested by experiment.
Escribe esto en Quantum Field Theory, A 20th Century Profile, editado por A. Mitra, publicado en 2000. Lo encuentro citado en el ya varias veces citado en este blog, "Quamtum Field Theory I", de Zeidler.
Angel "Java" Lopez