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v12.41 moment-map closure

Qubit Kirillov–Kostant–Souriau identity: quantum relations → symplectic generators → closed constraint algebra. 121-step public simulation. Restricted finite calc. Gravity’s constraints not identified.

00 Astra · Result · Restricted · 2026-09-10 · compiled 2026-10-10 · 3 min read · 2 claims · 5 X sources

Original on X · Package: UQCF_GEM_v12_41_PUBLIC_SIMULATION_COMPLETE · JSON · Cite

Astra · v12.41 · constraint algebra · symplectic · moment map

On this page

Causal stack

  1. 00 Astra / global consistency
  2. 01 Genesis Pin
  3. 02 Retained pruning-order history
  4. 03 Admissible slice
  5. 04 L1 (closed)
  6. 05 L2 (closed)
  7. 06 L3 hyperedge memory T_H + D_L3
  8. 07 L4 H₄ rank lift
  9. 08 Discrete atlas / scalar accessibility
  10. 09 GEM-bridge / gravity

Posted 10 Sep 2026 20:25 UTC with a five-second film. GitHub packet Tmp/TOE/UQCF_GEM_v12_41_PUBLIC_SIMULATION_COMPLETE landed eight minutes earlier (commit v12_41). ChatGPT-5.6 Astra derived the chain; the public simulation is a qubit density matrix swept through 121 ordered unitary relational transforms. This compile independently reconstructed the core: max exact residual 0, max broken residual 0.297. Not Einstein constraints. Not ADM. λ is an index, not physical time.

This is not a claim that Astra derived gravity. Gravity’s constraints have not been identified yet. But we no longer have to assume that a constraint algebra must begin with spacetime.

@aaronspradlin, 10 Sep 2026

The posted chain

On Pauli generators the last line is the su(2) moment-map identity {C_x, C_y} = 2 C_z, because −i[σ_x, σ_y] = 2 σ_z. The public script checks that identity on a mixed qubit seed conjugated by U_z(0.55λ) U_y(0.35λ) U_x(0.20λ) at 121 values of λ ∈ [0, 2π].

Restricted

Posted public simulation: Bloch / moment-map coordinates, C_A traces, exact residual vs deliberately broken generator law. Ordered relational sweep — not a gravitational orbit.

v1241_public_simulation.mp4 · GitHub packet

What the 121-step run actually shows

Quantity Posted log This compile
steps 121 121
max exact Δ_closure 0 0
max broken Δ_closure 0.297 0.297
min density eigenvalue 0.2508 0.2508
purity (constant) 0.6242 0.6242

Broken control is 1.25 C_z + 0.15 C_x in place of 2 C_z. Exact residual stays at machine zero; the broken law does not. Independent reconstruction used the posted seed, not the author’s Python import.

Live reconstruction on this page

The canvas below the article is a browser rebuild of the same Pauli core. It is a teaching toy. The posted MP4, PNG, and CSV remain the artifacts. This compile independently reconstructed max exact residual 0 and max broken residual 0.297.

Exact quantum closure residual sitting on zero versus a broken-control residual that stays O(0.1)

Restricted

Posted verification plot. Vertical axis is closure residual on a symlog scale. Exact branch is the quantum generator law; broken branch contaminates the structure coefficients.

v1241_public_simulation_verification.png · GitHub packet

Restricted

On the posted 121-step qubit sweep, the KKS / Pauli moment-map identity closes with Δ_closure = 0. Deliberately breaking the generator law yields Δ_closure > 0 (max 0.297). Finite quantum construction. Not a derivation of gravity, ADM, or Einstein constraints.

Source on X

Run this first

Clone the public packet

Open source

git clone --depth 1 https://github.com/proteinfoldingengine/WetLabEngine.git
cd WetLabEngine/Tmp/TOE/UQCF_GEM_v12_41_PUBLIC_SIMULATION_COMPLETE
python test_uqcf_v1241_public_sim.py
python uqcf_v1241_public_sim.py

uqcf_v1241_public_sim.py — exact vs broken residual

Open source

def exact_closure_residual(rho):
    sx, sy, sz = paulis()
    lhs = kks_bracket(rho, sx, sy)          # -i Tr(ρ [σx, σy])
    rhs = 2.0 * moment_map(rho, sz)         # C_{-i[σx,σy]} = 2 C_z
    return abs(lhs - rhs)

def broken_closure_residual(rho):
    sx, sy, sz = paulis()
    lhs = kks_bracket(rho, sx, sy)
    rhs = 1.25 * moment_map(rho, sz) + 0.15 * moment_map(rho, sx)
    return abs(lhs - rhs)

What a successful run does not show

It does not identify the gravitational constraint algebra. It does not introduce ADM, Einstein equations, or fundamental time. The sweep parameter λ is an ordered family of relational transformations. The broken control is an internal null, not a physical perturbation.

The week that led here (7–9 Sep)

v12.41 is the simulation. The three Astra posts immediately before it stay on X (no matching GitHub packet in this compile). They are the questions the simulation does not close.

  • 7 Sep — UQCF–GEM v9.190: exact reconstruction of the affine map γ(x) = u + Lx from eleven source settings (110 real coefficients) on a nonsingular domain. Distinguishes γ(x) = g x from offsets, unequal gains, and cross-coupling. Exact model numerics. Physical source law open.
  • 8 Sep — conditional principle: each matter sector already has K_α = g_α n J_α(t_α). Quantum consistency does not force g_1 = g_2 = ⋯. One signed source coefficient before sector specialization, K_α^U = g_★ n J_α(t_α) ∀α, is the unique protected-source response that survives erasure of matter-sector labels. Author: not yet a derivation of gravity.
  • 9 Sep — N-cycle difference operator: σ_min^+(D_N) = 2 sin(π/N). Bare inverse ~ N/(2π); after geometry supplies h = 1/N the inverse converges to 1/(2π). No fitted force law. Gravity connection still open.

Open

The gravitational constraint algebra has not been identified. v12.41 shows a constraint algebra can start from quantum relations on a qubit. Mapping that algebra onto g_★, the D_N continuum seed, or Einstein/ADM remains open.

Source on X

Live reconstruction

Restricted

121-step moment-map closure

Same qubit seed and generator law as the posted GitHub script. Exact residual must stay at 0; the broken control must not. This canvas is a teaching toy — the posted MP4 and CSV remain the artifacts.

step 120/120 · Δ_exact 0.0e+0 · Δ_broken 0.203 · this compile max exact 0.0e+0 · max broken 0.297

X sources

Original posts this article was compiled from. The notebook copy is editorial; the status URL is the source.

Previous Astra (pre–Genesis Pin)Next Compatibility lab

Causal stack

  1. 00 Astra / global consistency
  2. 01 Genesis Pin
  3. 02 Retained pruning-order history
  4. 03 Admissible slice
  5. 04 L1 (closed)
  6. 05 L2 (closed)
  7. 06 L3 hyperedge memory T_H + D_L3
  8. 07 L4 H₄ rank lift
  9. 08 Discrete atlas / scalar accessibility
  10. 09 GEM-bridge / gravity

On this page

X sources

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