/sci/ - Science & Math

>>11409544
>no guaranteed funding
That's basically a rejection letter hun.

>>9480634
>Brown Representability Theorem says spectra are essentially the same thing as generalized (co)homology theories.
This is incorrect, spectral sequences in general don't correspond to cohomology theories.

>>9095861
Assuming anything that is not confirmed by physical intuitions cannot yield a proof. Any mathematician thinking otherwise is an idiot.

>>9064259
1. Entanglement is a phenomenon in non-relativistic QM. In relativistic QFT your scenario is forbidden by the microcausality axiom and the clustering theorem in Wightman QFT. Space-like separated observables commute and their expectations factor, so entanglement cannot occur between them.
2. Sure if wormholes are real lmao.

>>9020952
>low IQ
>low EQ
>low testosterone
You really shouldn't be doing any kind of research at all, my little brainlet.

>>8966658
>(did you perhaps mean to write Dehn surgery instead of surgering?)
I'm using the term as a verb. Surgering is the (relatively) commonly accepted verbal form of surgery, at least in the context of knot theory. It's used in Turaev anyway.
>what is (Witten's) tangle operator?
It's an operator invariant of links and 3-manifolds that can be constructed from a CFT. It's an example of this https://en.wikipedia.org/wiki/Quantum_invariant..
You can also see the previous thread where I defined it roughly.
>decorated manifolds as per https://arxiv.org/abs/1511.03851 ?
As per the book "Quantum Invariants of Knots and 3-Manifolds" by Turaev. Decorated manifolds are manifolds equipped with ribbon graphs labeled by objects and morphisms of a semisimple category embedded inside a 3-manifold.
>which papers god damn you? not everyone is familiar with the literature you're reading.
They're both books. "Conformal Field Theory and Topology" by Takahashi Kohno and the aforementioned by Turaev.
>>8966633
It might not be such a stretch after all. In Kohno (p.120) he described an alternative definition of Witten's tangle invariant by doing exactly what I did: assigning highest weights [/math]\lambda\in P^+(k)[/math] to the components of links [math]L[/math] in a decorated 3-manifold. This shows that what I've focused on is in essence
a part of the "canonical" correspondence between unitary TQFTs and CFTs.
I've just read this btw, pretty interesting to see my idea show up on paper.