Goddard Guryon

No love for Star Wars? :(

Yup it seems crazy to me how deep insights one needs to have to be able to, say, connect the dots between compression and machine learning. And now it looks to me like he has done a lot of the foundational work in these fields. Super cool stuff

Too lazy to check, but is this the Rivest from the RSA algorithm?

Since you’re seeking for answers within physics buzzwords, you’re missing a lot of nuance which is causing you to come up with nonsensical theories. For one, the wavefunction doesn’t exist ‘in’ the particle, it is the particle. A wavefunction collapsing is what causes a particle to show up in a specific location (going by the most prominent interpretation of the wavefunction); as long as the wavefunction is non-zero at more than one location, the particle exists in all those locations.

Equipped with this knowledge, phrases like “a wavefunction collapsing in such a way that it absorbs light” or “change the composition of atoms” make no sense, so I’d suggest you to rethink your assumptions, and, if possible, not look at quantum mechanics as a magic black box that can explain everything a mind can conjure up.

Indeed, an integer is divisible by 3 if and only if the sum of its digits is divisible by 3.

For proof, take the polynomial representation of an integer n = a_0 * 10^k + a_1 * 10^{k-1} + … + a_k * 1. Note that 10 mod 3 = 1, which means that 10^i mod 3 = (10 mod 3)^i = 1. This makes all powers of 10 = 1 and you’re left with n = a_0 + a_1 + … + a_k. Thus, n is divisible by 3 iff a_0 + a_1 + … + a_k is. Also note that iff answers your question then; all multiples of 3 have to, by definition, have digits whose sum is a multiple of 3

2. Strairdrac is three crabs in a trenchcoat, now teaching others of his kind how to blend in with humans