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15:41 < adiabat> Question about taproot:  The equation now is [ P = hash(m, Q)G + Q ] 
15:41 < adiabat> where P is the point you put in the output script, Q is a normal pubkey, m is the message you're commiting to, and the comma is concatenation.
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15:42 < adiabat> my question is: would this also work:
15:42 < adiabat> P = hash(m, Q)Q
15:42 < adiabat> So same hash scalan, but multiplying by Q instead of multiplying by G and adding Q.
15:42 < adiabat> *scalar
15:46 < adiabat> It seems like revealing m, Q would also let the verifier compute P and check equality the same way.
15:46 < adiabat> The only difference I can see is that multiplying by G and adding Q is maybe a bit faster, as it's base mult + add vs point mult.
15:46 < adiabat> So it makes sense that the current equation is used; I'm just wondering if the only difference is the small speedup, or if there is a reason P = h(m, Q)Q would not be secure.
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21:09 < jeremyrubin> I think it lets you prove that there's no taptree
21:09 < jeremyrubin> If there is none 
21:09 < jeremyrubin> Just looking at the equations, I don't recall in particular 
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22:15 < _aj_> adiabat, jeremyrubin: i think it's just that that's how pay2contract was specified. seems like multiplication is listed as an alternative in that paper in section I too. https://arxiv.org/pdf/1212.3257.pdf
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