Hi,

That's an excellent question, but note that answering such questions is not
the primary function of this mailing list. Places like Bitcoin Stack
Exchange or even IRC are probably better for that!

Specific to your question: in Taproot Q = P + hash(P||m)*G. The fact that P
is hashed together with the message, makes it a commitment. If you try to
change m to e.g. m2, then Q - hash(P||m2) will never result in P (unless
the hash function is broken).

The original Taproot thread can be found here:
https://lists.linuxfoundation.org/pipermail/bitcoin-dev/2018-January/015614.html

Cheers,
Ruben

On Sun, May 23, 2021 at 7:10 PM vjudeu via bitcoin-dev <
bitcoin-dev@lists.linuxfoundation.org> wrote:

> As far as I know, P2TR address contains 32-byte public key. It can be used
> directly by creating Schnorr signature or indirectly, by revealing
> tapscript. Does it mean that any taproot output could be modified
> on-the-fly after being confirmed without changing an address? I mean, if we
> have base point as the private key with P2TR address
> tb1p0xlxvlhemja6c4dqv22uapctqupfhlxm9h8z3k2e72q4k9hcz7vqqzj3dz, then the
> owner of that key can modify spending conditions without moving on-chain
> coins?
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>