At first it might seem that quantum mechanics (QM), which began with Einstein's photon as the explanation for the photoelectric effect in 1905, goes further in the direction of discreteness. But the wave-particle duality discovered by de Broglie in 1925 is at the heart of QM, which means that this theory is profoundly ambiguous regarding the question of discreteness vs. continuity. QM can have its cake and eat it too, because discreteness is modeled via standing waves (eigenfunctions) in a continuous medium.
Gregory ChaitinRelated topics
begin cake continuity direction eat heart might mechanics quantum question standing means photonRelated quotes
Were I to deduce any system from my feelings on leaving Eton, it might be called The Theory of Permanent Adolescence. It is the theory that the experiences undergone by boys at the great public schools, their glories and disappointments, are so intense as to dominate their lives and to arrest their development. From these it results that the greater part of the ruling class remains adolescent, school-minded, self-conscious, cowardly, sentimental, and in the last analysis homosexual.
Cyril Connolly
This fact, that all charges are integral multiples of a fundamental unit, is still one of the unexplained puzzles of fundamental physics. It does not in any way contradict electromagnetic theory, but it is not predicted by it, and until we have a more fundamental theory that explains it, we shall not feel that we really understand electromagnetic phenomena thoroughly. Presumably its explanation will not come until we understand quantum theory more thoroughly than we do at present.
John C. Slater
The years since the mid-1970s have been the most frustrating in the history of particle physics. We are paying the price of our own success: theory has advanced so far that further progress will require the study of processes at energies far beyond the reach of existing facilities. In order to break our of this impasse, physicists began in 1982 to develop plans for a scientific project of unprecedented size and cost, known as the Superconducting Super Collider.
Steven Weinberg
The last thirty years of Einstein's life were largely devoted to a search for a so-called unified field theory that would unify James Clerk Maxwell's theory of electromagnetism with the general theory of relativity, Einstein's theory of gravitation. Einstein's attempt was not successful, and with hindsight we can now see that it was misconceived. Not only did Einstein reject quantum mechanics; the scope of his effort was too narrow. ... Nevertheless Einstein's struggle is our struggle today. It is the search for a final theory.
Steven Weinberg
But this (a listing of illustrations of how the genome can change other than by mutations) doesn't constitute a crisis-it's a very interesting finding that shows that variation in a genome can arise by processes other than mutation of an organism's own DNA. The disposition of that variation still must occur via either natural selection (it can be good or bad) or genetic drift (no effect on fitness). This hasn't really changed the theory of evolution one iota, though it's changed our view of where organisms can acquire new genes.
Jerry Coyne