The being read as an information channel: input = the rate (which sets the being = the
signal); the confinement resolves it toward the '1'; read within an observation budget (laps).
C = signal − noise, every term measured: signal = log₂(being);
reliability = fold/4.23 (the foam term — measured fold decay);
settled gate = horizon ≤ budget (the indifference term). C(r) is a
band: zero at indifference (too slow) and foam (too fast), peaked at the reliable edge
≈ 274/budget. First sweep builds the being grid (~60s), then instant.
≈ 2ⁿ / budget, so it slides with the window (see panel 2).
Try 9, 10, 11.
What to look for: a band — C is 0 at both ends (indifference / foam) and
peaks in between. At 2¹⁰ the peak is ~0.25 (100% of peak); 0.5 (~88%) and
0.75 (~81%) sit inside the band but are not separate peaks — one peak, not a triplet.
The optimum (peak) rate is budget-dependent: it halves as the window doubles
(256→1.0 · 512→0.5 · 1024→0.25 · 2048→0.125) — so
peak-rate × budget ≈ 256 = 2⁸, the fundamental octave over the window. The
'0.25' optimum is the value for the pinned 2¹⁰ baseline, not an absolute. A relativity of the
observer's window hiding inside the channel.
Each instrument is a quad-slip (its y-projection flip-signal over loops). Two instruments can be redundant (congruent → corr +1, or 180° mirror → corr −1, both carry one channel) or orthogonal (independent → corr ≈ 0, additive capacity). The decorrelation is driven by the detune (the time-rate), not placement — orthogonality is a dynamic property (“time saved within space”). Max-surprise is the attractor: it pulls the system to decorrelate — the effective independent channels (participation ratio) rise toward N.
Each instrument is a clock (its flip-signal is periodic — measured period-4, so a single stream is predictable: capacity does not live in one clock's alternation, it lives in the orthogonal relationships between clocks). The grid tiles a run into K ticks (moments) and reads, per tick, the effective independent channels (PR) over that window. A locked tick (PR drops toward N−1: two clocks phase-align) is a blind moment — a cell mid-flip. Capacity is a band in the resolution K: too coarse → few moments; too fine → the window is too short to settle a relationship, so orthogonality is noise (the grid's foam, discounted by a measured split-half reliability). The peak K* is the grid's optimal resolution — the observation-window relativity, one level up from the phase-1 rate×budget law.
Set the run length (laps) to different observation windows and re-find the peak resolution: does the open-slot count lock to a fixed epoch count (intensive), or grow with the run (extensive)? Measured: the slots scale ~linearly with the run (slope ≈ 1 — an extensive register that lengthens with observation time), not locked to 8/9. The intensive invariant is the moment width — a fixed ~5 clock-beats (the 5-beat), the coherence length of one settled relationship. More time → more moments, same moment-size.
Space = N mutually-independent channels (instruments greedily selected orthogonal); time = the moments K. Resolving N channels demands a coherence window that grows super-linearly with N, so at a fixed signal budget L the moments K = L/window shrink: window × K ≈ L — a conservation law / uncertainty relation. Capacity favours the time-rich corner (few channels, many moments) — "time saved within space". The substrate supports ~7–8 independent channels.
Every recorded band sweep (oxexp-channel · local-first).
| seq | budget | peak-rate | peak C | being | band | indiff. | foam |
|---|