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started M-theory on G2-manifolds
am finally giving this its own entry, for ease of hyperlinking. (Many entries point to conjugation action when talking about conjugacy classes of subgroups. Eventually they should be made to point here.)
brief category:people-entry for hyperlinking references at flavour anomaly and LHCb
am starting differential string structure, but not much there yet
I fleshed out the page Arf-Kervaire invariant problem, and added a link to the new notes of HHR giving a nice introduction to the problem.
am splitting off this entry from exotic smooth strcuture, in order to facilitate linking to specifically the case of exotic 7-sphere.
Accordingly, so far the bulk of the entry is just copied over from the corresponding section at exotic smooth structure,
But I also added a new paragraph,
and that is what motivated me to split this off. Namely it occured to me that from the point of view of M-theory on 8-manifolds, Milnor’s classical construction of exotic smooth 7-spheres as boundaries of 8-manifolds is very particularly the construction of near horizon limits of black M2-brane spacetimes in the context of M-theory on 8-manifolds.
This must be known in the literature, and I’d like to collect what is known about it. So far I found a brief comment in this direction, in section 3.2 of
Will be adding more as I find more.
brief category:people-entry for hyperlinking references at 8-manifold, M-theory on 8-manifolds and exotic 7-sphere
This is a base topic of my contribution. It introduces a new function that gives series whose coefficients are powers of fine structure constant. Furthermore each member represents natural physical interaction. It can be treated as natural physics that introduces natural particles.
May be I made a lot of mistakes. I will correct them.
The cut rule for linear logic used to be stated as
If and , then .
I don’t think this is general enough, so I corrected it to
If and , then .
In order to accompany the nCafe discussion I have started to add some content to the entry Euler characteristic
I may have written something at signature genus, but it is at best a stub for the moment
added this, under References – Review:
In March 2013, following an accurate processing of available measurement data, the Planck Scientific Collaboration published the highest-resolution photograph ever of the early Universe when it was only a few hundred thousand years old. The photograph showed galactic seeds in sufficient detail to test some nontrivial theoretical predictions made more than thirty years ago. Most amazing was that all predictions were confirmed to be remarkably accurate. With no exaggeration, we may consider it established experimentally that quantum physics, which is normally assumed to be relevant on the atomic and subatomic scale, also works on the scale of the entire Universe, determining its structure with all its galaxies, stars, and planets.
included and cross-linked with the tables
brief category:people-entry for hyperlinking references at flavour anomaly
quickly added at accessible category parts of the MO discussion here. Since Mike participated there, I am hoping he could add more, if necessary.
brief category:people-entry for hyperlinking references at quaternion-Kähler manifold, quaternion-Kähler manifold and elsewhere