Want to take part in these discussions? Sign in if you have an account, or apply for one below
Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.
starting something, but nothing here yet. For the moment this is just a home for
added these pointers:
An interpretation of the s-rule for D-brane intersections with NS5-branes (Dp-D(p+2) brane intersections and Dp-D(p+4) brane intersections) as a version of the Pauli exclusion principle is discussed in:
Constantin Bachas, Michael Green, Adam Schwimmer, Section 2.3 of: Quantum mechanics and symmetry enhancement in type I’ superstrings, JHEP 9801 :006, 1998 (arXiv:hep-th/9712086)
Constantin Bachas, Michael Green, A Classical Manifestation of the Pauli Exclusion Principle, JHEP 9801 (1998) 015 (arXiv:hep-th/9712187)
added a cool reference by Brian Conrad to cohomology, which was mentioned at MathOverflow
to record the result of
finally created intensive and extensive with the topos-theoretic formalization following the concise statement in the introduction of Categories in Continuum Physics
In Robinson arithmetic, I recorded the simplest nonstandard model (with a single nonstandard element ).
(Hi, I’m new)
I added some examples relating too simple to be simple to the idea of unbiased definitions. The point is that we often define things to be simple whenever they are not a non-trivial (co)product of two objects, and we can extend this definition to cover the “to simple to be simple case” by removing the word “two”. The trivial object is often the empty (co)product. If we had been using an unbiased definition we would have automatically covered this case from the beginning.
I also noticed that the page about the empty space referred to the naive definition of connectedness as being
“a space is connected if it cannot be partitioned into disjoint nonempty open subsets”
but this misses out the word “two” and so is accidentally giving the sophisticated definition! I’ve now corrected it to make it wrong (as it were).
I've edited the About page a little. My initial intention was just to update the technical information but I ended up adding a load more, mainly to expand on the "lab book" view. Given that we've discussed this back-and-forth for quite some time, I felt it time someone started actually modifying the page itself. Of course, if you don't like what I've said then change it!
It is a wiki, after all - even if it isn't an encyclopaedia.
am splitting this off from Lie algebra, for ease of cross-linking.
Added to the entry fuzzy dark matter pointer to Lee 17 which appeared today on the preprint server. This is just a concise 2.5 page survey of all the available literature, but as such is very useful. For instance it points out this Nature-article:
which presents numerical simulation of the fuzzy dark matter model compared to experimental data.
created spectral triple, but so far a bit bizarre:
I give an unorthodox category-theoretic VAGUE definition, which I have reason to think is the right one
and then I record an unusual reference on vonNeumann spectral triple (just because at MO somebody asked for this and I don't like to dig out a link just to throw it away after one reference use like a paper napkin )
I have spelled out the proof (here) of the claim from
that the stabilizer in the automorphism group of the octonionic Albert algebra “of a 4d Minkowski subspace” happens to be the exact gauge group of the standard model of particle physics.
The definition and the annotated bibliography are given for Feynman category.
I wonder how useful this could be in related to elucidate the cohomological and motivic quantization via correspondences (Kan extensions in the setup of Feynman categories can help getting the pushforwards, Connes-Kreimer Hopf algebra, Feynman transform (which in some cases gives coefficients in the formal development of the Feynman integal, basically being partition functions, hence connection to graphs).