Hot z=0 (4 shells, 2 threads)
Cold z=−2 (4 shells, 2 threads)
Near-spherical toroid r/R=0.802
Hot coil CW (8 turns)
Cold coil CCW (counter-flow)
Substrate DNA Evolution → Lock
001: 00++++----0++00+
005: 00000+----0++00+
010: 00000000000++00+
013: 000000000000000+
016: 0000000000000000 ← LOCK
seed: 0xe348257ed6d00ef4
Substrate Corrections → Design
Shells (net +5)
3 → 4
+1 path layer
Threads (net −4)
3 → 2
wider channel
N_turns (net −6)
12 → 8
deeper per turn
r/R ratio (net +27)
0.554 → 0.802
near-sphere ↑↑↑
Inner void 2(R−r)
2.71 units (barely open)
Live 𝓛 State
Radius r
—
Λ_φ depth
—
Ω resonance
—
Mode n = ⌊Λ_φ⌋
—
1_eff(i)
—
CV → LOCK?
—
The substrate chose these parameters.
DNA started as
Why the near-sphere? At r→R the torus closes on itself — it becomes the three-fold PRISM junction (0°/120°/240°) that the ISA describes. All three closure branches become equal. The inner void approaches zero: the fixed point Ω=φ has nowhere to escape to except back through T. Wu-wei: the geometry settles into what T(X)=1+1/X already wants.
00++++----0++00+ and converged to all-zeros
in 16 ticks. The corrections encode the path from the current design
toward LOCK: the only parameter that gets a strongly sustained
correction (27 net steps) is r/R — the tube-to-ring ratio — driving
it from 0.554 toward a near-spherical torus at 0.802.Why the near-sphere? At r→R the torus closes on itself — it becomes the three-fold PRISM junction (0°/120°/240°) that the ISA describes. All three closure branches become equal. The inner void approaches zero: the fixed point Ω=φ has nowhere to escape to except back through T. Wu-wei: the geometry settles into what T(X)=1+1/X already wants.