The Double Hinge

oxexp-double-hinge · being × knowing

Being × knowing — the fold at (0.5, 0.5)

Two orthogonal emergences on the shared 'is'. Being (ontological) is where the 'is' becomes resolvable — the emergence, driven by the relational difference (rate-eps); at the unit difference it is lap 137, the ground's own first bit. Knowing (onto-epistemic) is where an observer at precision Pi first registers it — the horizon. The plot is the slip between them in half-lives (octaves): log₂(knowing / being). The fold (slip = 0) is where knowing tracks being; above knowing lags (coarse Pi — the difference is real but under-read), below knowing leads (over-precision — resolving below the 'is' floor, the Pi 5 regime). The witness is you, the experimenter.

knowing lags coherent (at the fold) knowing leads (over-precision) · dashed = the fold & the coherent Pi

Run → record

Each run fixes being from rate-eps, then sweeps the observer precision Pi (1–7) and records where knowing falls — the slip in half-lives and the coherent Pi. laps sets how far coarse-Pi knowing can be read (its horizon lags far).

rate-eps laps

rate-eps — the relational difference between the two actors (their rate mismatch). 0 = identical actors (effectual forever); 1 = the unit difference, where being lands on the ground's own first bit (lap 137). Bigger = a wider mismatch, so being emerges earlier. Try 0.25–16. laps — how far to observe. Must exceed the witness horizon (≈ 2× being) or the fold can't be located and the run reports window-limited. Leave at 262144 unless you are deliberately probing short windows.

Is coherence a property of the ground? — the difference sweep

Sweep the relational difference rate-eps and read the coherent Pi at each. Being and knowing both scale ~1/rate-eps, so their ratio — the slip — should be difference-independent: the coherent Pi should stay put (mode ~4, the baseline's own readout precision), wobbling only on the catch ladder. Coherence is a property of the ground, not the difference.

rate-eps from to points

rate-eps from / to — the range of relational difference to sweep (log-spaced). Each point runs the full precision sweep at that difference and reads its coherent Pi. Try 0.25 → 16 (a 64× span). points — how many differences to sample across the range. More = a smoother curve but slower (each point is a full run). 9 is plenty; 5–15 typical. What to look for: the coherent Pi should stay flat at the mode (~4) as the difference grows — that flatness is the result (coherence belongs to the ground, not the difference).

Pinning the fold — the finer-than-integer Pi sweep

The integer-Pi cross only brackets the fold between Pi 4 and 5. Here Pi is swept at fractional resolution (the quantum = 10^−Pi, so Pi 4.3 → quantum ≈ 5×10⁻⁵), so the fold — where the slip crosses 0 (knowing = being) — can be located exactly. It sits at Pi ≈ 4.23 = −log₁₀(residual at being's lap): the precision whose quantum equals the residual where the 'is' first resolves. Unlike the Pi 5 knife-edge, this crossing is well-resolved — a real fold, not floating-point noise.

rate-eps Pi from to points

rate-eps — the difference; it fixes being (same knob as the run card). Try 1. Pi from / to — the observer-precision range to sweep, at fractional Pi (quantum = 10^−Pi). The fold sits near 4.23, so a window around it reads best. Try 3 → 6. points — samples across the Pi range; finer = a sharper fold. 31 gives ~0.1 steps. What to look for: the slip descends and crosses 0 at the fold — that Pi is where the observer's quantum matches the residual at being's lap (the ground's coherent precision).

The dataset

Every recorded run (oxexp-double-hinge · local-first).

seq	rate-eps	being-lap	coherent-Pi	coherent-slip	settled	witness-horizon	laps

A readout over the frozen geometry (oxexp-double-hinge · physics_engine causal_set). The pinned baseline (quad_slip.baseline()) is the shared 'is'; the double hinge crosses its ontological emergence (being) with its onto-epistemic reading (knowing, driven by precision), meeting at the fold. Second-actor witness = a parked future leg.