Macarthur Fellows

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April 10, 2026

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"One of the facts of nature is that there is what's called parity violation, which means that the fundamental laws are not invariant under mirror reflection. For example, a neutrino always spins clockwise and not counterclockwise, so it would look wrong viewed in a mirror. When you try to write down a fundamental theory with parity violation, mathematical inconsistencies often arise when you take account of quantum effects. This is referred to as the anomaly problem. It appeared that one couldn't make a theory based on strings without encountering these anomalies, which, if that were the case, would mean strings couldn't give a realistic theory. Green and I discovered that these anomalies cancel one another in very special situations. When we released our results in 1984, the field exploded. That's when Edward Witten [a theoretical physicist at the Institute for Advanced Study in Princeton], probably the most influential theoretical physicist in the world, got interested. Witten and three collaborators wrote a paper early in 1985 making a particular proposal for what to do with the six extra dimensions, the ones other than the four for space and time. That proposal looked, at the time, as if it could give a theory that is quite realistic. These developments, together with the discovery of another version of superstring theory, constituted the first superstring revolution."

- John Henry Schwarz

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"To Donham, the case study stood squarely in the legal and cultural tradition of Anglo-American thought. Unlike French or Spanish law. Donham emphasized, English law was grounded on the doctrine of stare decisis, in which the written case decisions of the past shape, and instantiate, the law. Just as the recording of cases allowed English common law to break the arbitrariness of local law. Donham argued in 1925, business needed to universalize its procedures by itself adopting the case system. The chaos of local law that ruled in England before the common law. Donham contended, "is exactly the same situation that we have [in the world of business] where practically every large corporation is tightly hound by traditions which are precedents in its particular narrow field and narrow held only The recording of decisions from industry to industry [enables] us to start from facts and draw inferences from those facts; [it] will introduce principle... in the field of business to such an extent that it will control executive action in the field where executive action is haphazard or unprincipled or bound by narrow, instead of broad precedent and decision" ( W. Donham, transcript of talk to the Association of Coll. School of Business Committee Reports and Other Literature, 5-7 May 1925. Harvard Business School, box 17, folder 10. 62)."

- Peter Galison

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