k-transitive group by Ciro Santilli 37 Updated 2025-07-16
TODO why do we care about this?
Note that if a group is k-transitive, then it is also k-1-transitive.
This one might actually be understandable! It is what Richard Feynman starts to explain at: Richard Feynman Quantum Electrodynamics Lecture at University of Auckland (1979).
The difficulty is then proving that the total probability remains at 1, and maybe causality is hard too.
The path integral formulation can be seen as a generalization of the double-slit experiment to infinitely many slits.
Feynman first stared working it out for non-relativistic quantum mechanics, with the relativistic goal in mind, and only later on he attained the relativistic goal.
TODO why intuitively did he take that approach? Likely is makes it easier to add special relativity.
This approach more directly suggests the idea that quantum particles take all possible paths.
en.wikipedia.org/wiki/Logarithm_of_a_matrix#Existence mentions it always exists for all invertible complex matrices. But the real condition is more complicated. Notable counter example: -1 cannot be reached by any real .
The Lie algebra exponential covering problem can be seen as a generalized version of this problem, because
Sandy Maguire by Ciro Santilli 37 Updated 2025-07-16
Lots of similar ideologies to Ciro Santilli, love it:
Other interesting points:
He's a Haskell person.
KaTeX by Ciro Santilli 37 Updated 2025-07-16
Default mathematics typesetting used in OurBigBook Markup.
Key issues:

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