I'm sorry man, the more I look into this and the more I convinced that I'm not understanding a shit because the more I'm convinced this thing about \(\varphi\) can't work for algebraic reson (so very mechanical reasons)... but I can't exactly point out where... and the only remarks that come to my mind are basically underestimating your algebraic manipulation skill... and I know them to be superior to mine.. so I'm trapped.
I guess I'll go back to your original thread and pdf where you introduce the surface \(\Phi\).
I'll get back soon.
I (re)discovered this is actually theorem 1.8.3 of you paper on "Analytically Interpolating Addition,
Multiplication, and Exponentiation". Even if the proof is totally obscure to me...I hope that the one you are giving me now will make more sense after a couple of times I read it.
I guess I'll go back to your original thread and pdf where you introduce the surface \(\Phi\).
I'll get back soon.
(07/20/2022, 09:46 PM)JmsNxn Wrote: Hey, so I haven't written exactly how to derive this yet--I have a sketch of a proof--but numerical evidence is confirming it.
I (re)discovered this is actually theorem 1.8.3 of you paper on "Analytically Interpolating Addition,
Multiplication, and Exponentiation". Even if the proof is totally obscure to me...I hope that the one you are giving me now will make more sense after a couple of times I read it.
Mother Law \(\sigma^+\circ 0=\sigma \circ \sigma^+ \)
\({\rm Grp}_{\rm pt} ({\rm RK}J,G)\cong \mathbb N{\rm Set}_{\rm pt} (J, \Sigma^G)\)