0.5x A Presses / But First We Need to Talk About Parallel Universes - A clear explanation on QPU alignment

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$1 A formal definition of QPU-alignment To begin, consider product of intervals [-L, L]n-1 C Rn-1 where L where S is the surface measure on R, and the kernel B、R × R → R is a 32768 R be a continuous function in which there exists finite such that (i) each Tk is a simplex (i.e. an unction with compact, path-connected support (i.e. a bump function moo whose support is also path-connected), is called a Mario bump operator partition {TRA-1 of [-L, n-1 (n - 1)-dimensional analogue of a triangle) and (ii) f r, is linear for each k. We note that graph of f ' denoted「(f) , can be thought of as a (n-1)-dimensional manifold composed of simplices and that ▽f is well-defined and constant in the interior of each simplex. Extend f to a function f : 32768, 32768]n-1 → We often consider φ E C (R) such that 110112-1: these may be though of as wave functions corresponding to positions of objects in thePU-space (though note that in the rigorous sense,"o are determined by continuous wave functions defined on the principle「(f)-see may only refer those whose positions in and no e entire Wi onal res when paired with appropriatehER, comprise the Scuttlebug space of R 0 otherwise Definition 3 Consider pair (φ, ho), where φ E C (R) with llo12-1, and E Endow「 ) with the usual subspace topology inherited from Rn, then identify boundary points (..., -32768,.. .) ~ (...,32768,...). We then define the PU R. Suppose (φ,ho) have the additional properties that (i) there is unique for given φ, (ii) φ (x) = 0 for all x E R such that |Pan-1x-Pan-1hal > 1000 (here, PRn-1 : Rn → Rn-1 denotes the projection, and 1-1 the usual Euclidean norm), and (ii) for every Mario bump operator M, there exists unique hMo E R such that Mo(x) = 0 for all x E R satisfying \Pan-1x-Pan-1hMol > 1000 We call the set of all such pairs (φ,ho) the Scuttlebug space of R, denoted SB (R); such φ are called Scuttlebugs, and the corresponding h·is known as the Scuttlebug's home h the quotient topolo gy. We are now ready for a formal definition of QPU-alignment ion ~ be a precewise 4 65536 Remark 4 It is easy to see that, given Mario bump operator M, the pair M<p, hMo) is also in the Scuttlebug space. The corresponding hMo may be thought of the Scuttlebug's new home under the transformation M for all s in the domain of r such that r' (s) exists Definition 5 Given fixed xER, e > 0, the collection of Scuttlebugs Note that we often consider the case in which the last coordinate of r ean inne is COnstrain magnitude s called a jamboree. We say that an arbitrary collection of Scuttlebugs is ε-jamboree-capable if there exists x E R and finite collection {Mk} Mario bump operators such that M1 . . . Mmox E Jx.e for each p x E {φλ} where n is a non-negative integer and A is some constant that is dependent only In the special case in which n is furthe onstrain o be even, we ca ion path- connected room within X Conjecture 7 Suppose each R1, R2 are rooms such that Ri U R2 is not path connected B. (y) C R1 or B. (y) C R2, then the collection {φ : (φ, ho) E SB (RI U R2)) is not ε-jamboree-capable 2 Scuttlebug space y) with center y and radius ε such that Let X be a PU-space, as defined in Section 1. Fix some compact subset R C X and consider the space C (R) of continuous functions φ : R → R, with L2-norm We first define the Mario bump operatoı It is likely that a proof of the above conjecture requires significant advanc tion n untary operator of the jorm er$

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Rab the Gamer

Jan 31, 2016 at 03:56AM EST

As a (admittedly new) grad student, I can verify that this is a fairly sound mathematical definition of the events described in the video. Also of note is that the vocabulary, general tone, and font is typical of what one might find in a higher-level mathematics textbook or certain academic journals.

Conjecture: Whoever wrote this is either a student nearing completion of their doctorate in pure mathematics, or has already obtained said doctorate. In the former case, this would make for an interesting (albeit suicidal) thesis topic. In the case of the latter, I strongly suspect that this is a professor from a research-oriented university with a love of memes and time to kill.

Whatever the case, I would pay good money to see this fully fleshed out and used for an academic paper.