The positive energy theorem was for half a century or more an open challenge to relativists. Many attempts were made to prove flat spacetime was stable, but none completely succeeded completely until a majestic tour de force of geometric reasoning of Shoen and Yau. This was followed two years later by a proof of Witten, which was as elegant as it was short. It is this proof of Witten's that we take as a template here for the quantum theory.
Lee SmolinRelated topics
century force half later none open proof prove quantum short stable take template theorem tour years spacetimeRelated quotes
Later Julian would give me another book he had culled from among the Archival duplicates, a short novel called The Time Machine by Mr. H. G. Wells, about a marvelous but apparently imaginary cart which carried a man into the future-and it fascinated me-but the Archive itself was a Time Machine in everything but name. Here were voices preserved on browning paper like pressed flowers, whispering apostasies into the ear of a new century.
Robert Charles Wilson
The story of a theory's failure often strikes readers as sad and unsatisfying. Since science thrives on self-correction, we who practice this most challenging of human arts do not share such a feeling. We may be unhappy if a favored hypothesis loses or chagrined if theories that we proposed prove inadequate. But refutation almost always contains positive lessons that overwhelm disappointment, even when [...] no new and comprehensive theory has yet filled the void.
Stephen Jay Gould
There's a little pond, in a small town in Poland, where they used to dump the ashes. The pond is still gray, even half a century later. I've heard it said that the holocaust had no survivors, that even those who managed to remain technically alive were so irreparably damaged, that their spirit, their soul, the person that they were supposed to be, was gone forever. I'd like to think that's not true. But if it is, then no one on Earth survived this war.
Max Brooks
Scientific realism in classical (i. e. pre-quantum) physics has remained compatible with the naive realism of everyday thinking on the whole; whereas it has proven impossible to find any consistent way to visualize the world underlying quantum theory in terms of our pictures in the everyday world. The general conclusion is that in quantum theory naive realism, although necessary at the level of observations, fails at the microscopic level.
Ravi Gomatam
The division of labour is not of recent origin, but it was only at the end of the eighteenth century that social cognizance was taken of the principle. though, until then, unwitting submission had been rendered to it. To be sure, several thinkers from earliest times saw its importance; but Adam Smith was the first to attempt a theory of it. Moreover, he adopted this phrase that social science later lent to biology.
Émile Durkheim