A miner samples from a probability distribution. The validator measures it. What survives the collapse becomes weight on-chain.
‹n› principal · ‹l› angular · ‹m› magnetic · the three quantum numbers that uniquely place an electron's probability cloud around the nucleus.
‹w› window_n · ‹p› prompt_idx · ‹r› drand_round · the three coordinates that uniquely place a submission in v2.3's chronological selection.
Under v2.3, three coordinates uniquely identify any submission: window n, prompt index l, drand round m. The validator's verify pipeline acts like a measurement operator on (ψ): only states satisfying the angular constraint m ≤ l ≤ n−1 collapse onto the batch.
The validator is a Kerr geometry. Submissions accrete along the disk; runners-up orbit the photon ring; rejected mass falls through the shadow. R2 archives replay the disk's far side back into view — the same gravitational lensing the picture above your head describes.
The hydrogen wave function describes a probability density. Three quantum numbers (n, l, m) fix the orbital; on measurement the function collapses to a definite state. Around a Kerr black hole the accretion disk's far side is gravitationally lensed into view above the photon ring — you can see the back from the front.
A miner samples from a probability distribution. Three coordinates (window_n, prompt_idx, drand_round) fix the submission; on GRAIL verify the validator collapses it to accept or reject. R2 archives let anyone replay the history — you can see the back from the front.