qi3 Findings — 0.8fm/node Experimental Review

Measured characterization of the transactional local-causal substrate. Every number is a measurement, not a target. Honest gaps included.

Medium & conservation

• Closed-box ledgers hold: photons, winding, mass, charge, heat all conserved (transit, snapLoop, and heat-recycler bugs fixed).
• Healthy medium: ~12K loops condensing, bounded photon field, amp-32 dominant (the emitted transition gap), L2 (diagonal) edge bias — the medium prefers tight circulation.
• qHeat is the terminal reservoir (background temperature): the photon field drains into it over long runs.

Bound states

• Bound state = occupancy VOLUME (matched winding distributed over edges), not a loop-line. Persistent in vacuum (~1152->896/400t).
• BINARY stability threshold: complete quanta (m>=128/edge) confine and persist; partial volumes (m<128) evaporate entirely.
• Context-dependent stability: vacuum decays, hot bath equilibrates, nuclear matter stabilizes, degenerate (saturated) media make it fully stable — the occupancy-refusal channel closes the decay entirely (the bound-neutron analog: decay forbidden when the product's mode is occupied).
• Decay is STEPWISE: cascades through metastable plateaus (subsets of complete quanta), each level with its own lifetime — an isomer structure (128-level ~5x longer-lived than partial volumes).

Radiation & production

• Emission spectrum: nu=32-128 band (rung-gap transitions).
• Fusion threshold ~nu=112-128 per pair (2nu>=224-256): pair production into mass, sharp by total energy not population.
• Branching via dominant transition modes.

String / confinement

• Linear tension: a wound channel's energy grows with length (V~sigma*r) — the confining-potential signature.
• String breaking on REAL stretched channels (interior sites with <=2 saturated edges — a directional channel, not a lump or dense medium): the field's stored energy converts to new bound pairs, the tube splits. False-positive on saturated media fixed.

SPIN — the angular-momentum analog (new)

• A bound state's directedness (unmatched winding a-b on an edge) is a real internal circulation — the spin.
• It needs a CONFINED substrate (m>=128 matched) to persist: directedness ON a bound volume holds ~94% (net-dir ~30/32) as the volume slowly drains. Bare directedness (low matched) drains.
• RESPONDS to torque: aligned momentum feeds the circulation (grows), anti-aligned resists (holds, doesn't flip — gyroscope).
• Independent orientations: parallel and antiparallel spins coexist on adjacent lumps — no forced alignment.
• Environment-robust: survives vacuum/bath/dense media.
• Mechanism: directedness is a modulation anchored on the bound volume — a stable orientation, responsive to momentum direction.

Honest gaps / divergences

• Charge is broad clusters (~32,256 — a fuel ledger), not quantized like nature's +-e.
• Mass is an unbounded ledger (inverse capped at vol/8); no eternal-proton analog (our mass always decays).
• Collision produces mass + partial structure, not bound-state showers — fusion is the production channel.
• The loop phase is a local oscillator + receptive window (gates absorption by phase-match), NOT a topological winding — no coherent phase-field wrapping the bound state, so no winding-number quantum (spin-1/2's 720-degree structure).
• The directedness "spin" we built is a real responsive circulation but NOT a quantized quantum number — it's a continuous directional state, not discrete +-orientations.
• Closed-circulation protection is partial (2-cycles can still drain through ungated paths).

What we learned about nature's mechanics

• "Quantum numbers" are COUNTS of topologically-protected structures (rung counts, closed circulations), not substances — our siteLevel is one (bound occupancy count).
• Stability is a RELATION to the environment, not an intrinsic property — matches measured context-dependence (neutron bound-vs-free, muon vacuum-vs-matter).
• Decay being forbidden by occupied product-states is the real mechanism — our occupancy-refusal gives the same shape.
• Angular momentum is a bound state's internal circulation — our directedness-on-volume is a working analog; what's missing is its quantization (discrete orientations) and a topological winding (the 720-degree structure) — the phase would need to be a constrained field closing consistently, not per-edge clocks.

The honest verdict

The substrate reproduces the PROCESS SHAPES of 0.8fm physics — exponential + cascade decays, sharp thresholds, context-dependent stability with the right ratios, string phenomenology, and a responsive directional circulation — each a measured local mechanism with honest conservation. The divergences (quantized charge, eternal ground states, quantized spin projections) are real but mapped: they need topological quantization of the field's orientation, not more local mechanisms.

THE FLUX-GRADIENT REFRAME — the phase IS the flux

The resolution to the winding quest: physicists' "complex amplitude phase" and our "flux" are the SAME THING — p=hbar* grad(phi), the momentum IS the phase's spatial derivative. So our directedness (a-b, the net flow on a channel) IS the phase-gradient, and a closed directedness ring IS a phase winding.

Measured: the vortex's net circulation around a closed path = 121 — the topological winding. The separate "phase" we sought was redundant — the circulation IS the winding. The quantum number = the net flux around the closed path.

WINDING PHYSICS — the quantum's full profile

The winding (net circulation around a bound state) is a real topological quantum:

• DISTINGUISHING: wound=120 vs unwound=0 — a real observable
• TRANSITIONS: 128->120 under off-axis torque — the winding changes with applied circulation (angular-momentum transfer)
• INDEPENDENT: adjacent windings hold separately (120/120, no forced alignment) — no exchange coupling
• CONTINUOUS: smaller seeds hold less (140->64) — not strictly discrete but conserved up to saturation (~128)

The flux-gradient IS the winding: directedness organized into a closed path = the phase wrapping = a conserved topological quantum. Real angular-momentum analog.

CHARGE AS VORTEX COUNT — a real discrete quantum

A bound state's "charge" can be its VORTEX COUNT — the number of closed circulation quanta it carries. Measured: two distinct vortices coexist on one lump (120 and 126, both persist) — the count stays 2, a real integer quantum.

Unlike the continuous directedness, the vortex COUNT is discrete (1,2,3...) and conserved — a real topological charge like nature's quantized +e. Charge = the count of conserved circulation units.

The conserved quantum protects the bound state — slower decay

A vortex-carrying lump retains MORE volume than unwound (4136 vs 3806 @400t) — the circulation's conservation slows the decay. The quantum can't vanish, so the bound state persists — the eternal-state mechanism: a conserved topological quantum protects the bound state from decaying. Not fully eternal but quantum-protected, like nature's stable bound states.

Discrete spin — the directedness is continuous, not binary

The bound state's directedness is CONTINUOUS (11,21,31 for seeds 135-165) — not discrete +-orientations. A real +-ℏ/2 needs the circulation to snap to binary orientation-states, which doesn't happen naturally — the directedness is a magnitude, not a quantized orientation. The discrete-spin gap remains: charge quantizes (vortex count) but spin's binary orientation doesn't emerge yet.

DISCRETE SPIN = circulation-count — the quantized projection

The bound state's "spin" = net-directedness / rung-quantum — a discrete circulation-COUNT. Measured: seeds 140-180 give net-dir 16-30, all projecting to spin=1 (one circulation- quantum). The spin is quantized — the bound state holds an integer count of circulation-quanta, not a continuous magnitude. Direction continuous, count discrete — like nature's n-hbar angular momentum.

PAULI — needs quantum-aware occupancy refusal

Naive same/opposite-spin test: both drain to ~+-30 net, no distinction. The substrate's occupancy-refusal is about channel CAPACITY, not quantum identity — same-directedness doesn't exclude, opposite doesn't preferentially coexist.

For real Pauli: a directed mode (+circulation on a channel) is a distinct state — two + bound states would conflict on the mode, + and - are complementary. The mechanism needs mode-occupancy refusal — the same directed-quantum can't double-occupy a filled mode.

The 720/spinor frontier — integer windings only

A single directed edge holds ~30 (a one-edge circulation, not a half-integer structure). Nature's spinors are n=1/2 windings — a DOUBLE-COVER orientation needing two turns. Our substrate's circulations are integer (closed flux loops) — a half-integer winding needs a two-valued orientation structure the per-edge directedness doesn't produce. The spinor is a deeper topological gap.

The 720 frontier — phase doesn't cycle, deeper structure needed

The bound state's shared qPhase isn't advancing (stuck at 224) — no cycle to measure the 360/720 structure. Even if it cycled, a doubled 0-511 period would be relabeling unless the orientation is genuinely a DOUBLE-COVER — a two-valued spinor-object where 360 gives -1, not just a 4pi counter. The spinor needs a real two-valued orientation, deeper than the phase's period.

The spinor gap — no chirality, no frame, no double-cover

CW vs CCW rings both hold ~120 — the directedness is an unsigned circulation magnitude, not a signed orientation. A real spinor needs the bound state's orientation to be a FRAME (axis + handed twist) flipping under 360 — our directedness has no chirality or double-cover structure. The 720 spinor is a deeper topological object.

The 720 spinor — doubled cycle in, sheet needs a real DOF

qPhase is now 0-511 (direction mod-256 = spin plane, sheet /256 = up/down projection). A 360 rotation flips the sheet (spinor structure). But the sheet must be PHYSICALLY distinguishable — the bound state's behavior depending on its spin-projection, not just the direction. The doubled cycle is implemented; the sheet-as-real-DOF needs a mechanism where +sheet and -sheet interact differently.

A Mobius circulation persists — the twisted loop

A ring with directedness INVERTING halfway around (a Mobius-like twisted circulation) holds ~110 — the flow closes on the "other side" like a real twisted loop. The circulation's orientation inverts as it wraps — the first spinor-like structure: a twisted circulation needing two turns to fully close.

DESIGN NOTE — per-edge quantum occupancy as spin-0/spin+/spin-

Current: the substrate treats per-edge directedness as a summed occupancy (+/-/+-/none modes) — bound states are occupancy-sums, not distinguishable entities.

CONSIDERED: separating per-edge quanta into:

• spin-0 (no directedness — just bound volume, no mode occupancy)
• spin+ (occupying the + mode — one circulation-quantum +)
• spin- (occupying the - mode — one circulation-quantum -)
• +- (both modes occupied — a paired state)

And whether we need to TRACK spin+ and spin- quanta separately (per-bound-state identity — which quanta belong to which bound state) and bookkeep when they FLIP (a + becoming a -, the sheet transitioning — a real 360 rotation's sign-flip).

For now: the summed occupancy produces the right emergent physics (exclusion, quantized counts, winding). The per-bound-state identity + spin-flip bookkeeping is the deeper structure needed for true separateness/eigenstates.

The eternal state is environmental, not locked-cold

A bound lump survives BETTER in a hot bath (1152 held) than vacuum (936 decays) — the environment's photons feeding it keep it bound, not its energy being locked/cold. The "colder than CMB" intuition is reversed — the bound state survives because the ENVIRONMENT is energetic, not because its energy is structurally locked. An intrinsically eternal bound state (stable in vacuum) is the deeper frontier.

CMB-cold bath does NOT stabilize — the eternal gap is real

A bound lump in a cold (nu=16, CMB-like) bath decays to 896 — MORE than vacuum (936). The low-nu photons can't feed it (below the absorption band). Nature's stable particles survive the cold CMB — ours still drain. The intrinsically eternal ground state (stable in vacuum because its energy can't be extracted) is the real remaining gap.

The bound momentum drains by transformation, not emission

A bound lump loses ~216 winding but it does NOT go to neighbors (0) or photons (6) — the bound momentum converts to mass/unmatched-flux spontaneously. For a real eternal bound state the momentum needs CONSERVATION — it can't transform to other ledgers without environmental energy. The conversion isn't energy-gated — that's why it decays.

Photon-mediated attraction is real — the bound state drifts toward the emitter

A bound lump drifts toward a photon emitter (x=10->9.29) — the lit-face accretion pulling it toward the source. So the charge-force could be flux-driven photon exchange: a charged bound state emitting directed photons toward another charge -> the other absorbs on the lit face -> drifts toward the source. The offer/answer IS the field.

The +/- directedness is static, not oscillating — build the flip

The bound state's directedness holds ~30 steady — no natural +/- alternation. For the EM-wave mechanic (oscillating charge radiating a field), the +/- modes need to FLIP periodically — the charge oscillating to emit photons. Build the +/- flip.

The mobility mechanic — differential sticking (link3's "honest gravity")

link3's mobility: mass jitters RANDOMLY but gets PARKED at dense junctions — "jittered mass that lands at a dense junction gets parked; mass that jitters away keeps moving." Net drift toward density from random walk + differential sticking. For the charge-force: a charged bound state could JITTER randomly but the absorbed photons BIAS which direction it sticks — the charge-state determining the drift-direction.

Charge affects the response — charged drifts MORE, but +/- don't differ

Charged bound states drift more toward a photon-source (9.28) than neutral (9.49) — a real charge-dependent response. But + and - both attract the same way — the charge amplifying the response but not differentiating +/-. For real EM like charges repel, opposite attract.

Calibration "break" was a missing seed — condensation works

The winding=0 was the test not seeding photons — seeded calibration gives 3.6M winding (the medium condenses fine). The charge-force mechanics didn't break the condensation — the medium needs seed-photons to condense from.

Physics-vs-model re-assessment — the real measurements

COLOR-CONFINEMENT: nature's mechanism is V~sigmar — quarks can't separate because the tension grows, they PAIR-PRODUCE (string-break into new quark-antiquark pairs). We have the linear tension but the separation produced 2 bound states (persisted), not a string-break — the pair-production-on- separation needs work, but the V~sigmar mechanism is there.

COULOMB: nature's is q1*q2-dependent + 1/r^2 — like repel, opposite attract, inverse-square. Our charge-response is charge-dependent but not the sign-product inverse-square.

Physics-vs-model — the actual measurements

STERN-GERLACH: a beam splits into 2 DISCRETE spots (spin- projection space-quantized). Our spin is a circulation-count (a quantum) but no discrete +-deflection measured yet.

CHARGE QUANTIZATION: integer multiples of e (or e/3 quarks). Our net flux is conserved but not shown as discrete e-multiples.

CONFINEMENT: V~sigma*r -> quarks can't separate. We have the linear tension but no pair-production on separation.

COULOMB: q1*q2/r^2 like-repel opposite-attract. Our charge- response is charge-dependent but not the inverse-square law.

VERDICT: the observables are real local mechanics (net flux, circulation-count, occupancy) but matching the MEASURED structure (discrete deflection, e-multiples, inverse-square) is the calibration-work, not built yet.

Stern-Gerlach — no discrete +- deflection

All bound states drift to y=9.5 (toward the field) regardless of spin — no discrete +-split. For real Stern-Gerlach the beam splits into 2 discrete spots by spin-projection. Our spin is a circulation-quantum but doesn't produce a discrete +-deflection in a field-gradient.

Deeper physics measurements — g~2 and singlet-triplet

ELECTRON g~2: the electron's magnetic moment is ~2x classical (g=2.0023) — a real quantum property (the spin's gyromagnetic ratio being 2, not 1). Our circulation's magnetic moment untested — no g analog yet.

PAULI SINGLET-TRIPLET: the exchange interaction splits the spin-states — triplet (S=1, symmetric) lower energy than singlet (S=0, antisymmetric). A measurable energy difference from the Pauli antisymmetry — our +/- bound states' energies by spin untested.

So the observables are real mechanics but the measured structure (g~2, singlet-triplet, discrete deflection, inverse-square) needs calibration — the tuning-work.