…ismiss all evidence or arguments which contradict their unconventional beliefs. (Wikipedia.org) Two propositions, Fermat’s Last Theorem and the Goldbach Conjecture, truly stand out among cranky topics, in drawing the vast majority of bogus “proofs” (although the Riemann Hypothesis may be another contender.) This is well-known among publishers like arxiv.org and philsci-archive, which get plenty of crank submissions. These topics are generally trea…
Read more…ect isn’t required for our construction. Instead, we can skip directly to defining the total angular momentum j = (n − 1)/2, in terms of the dimension n of the representation. The angular momentum operators can then be picked out as elements of the representation, and angular momentum in the z-direction can then be defined and shown to have the usual integer-valued spectrum, {−j, -j+1, …, 0, …, j-1, j}. In summary: angular momentum is recovered, w…
Read more…hat the Jesuit law is false, without assuming Galileo’s law. Some Remarks Before You Get Going. These aren’t really hints, just a few comments about what you should and shouldn’t take for granted. You may assume that for uniformly moving objects, d = vt. This law is as old as Aristotle, and was agreed upon by both schools of free fall. You may assume any mathematics known to Euclid or Archimedes. The modern calculus will lead you astray. (It’s too…
Read more…ng everyday particle. These black holes are harmless and short-lived! This effect is called Hawking radiation. But should we really believe it will happen? It hasn’t ever been observed. However, the result is far from speculative. It is derived from well-verified results of basic quantum theory and of general relativity. From GR, we need only the causal structure of black holes (which is now well accepted, and if we’re wrong about it, then there a…
Read more…ems. I’m sure you’ve done the calculation: how many people can be expected buy the textbook at that price? Not many. Not to mention that we could pick up two copies of J. K. Rowling’s “complete works” for this royal sum. This is not dissemination of information. This is you failing the academic community. Because of your silliness, Souriau’s scholarship is not being widely shared in the way that the academic community needs. In this case, the auth…
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