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Geodesic Convergence: The Unified Symmetry Track (Γ_9030)#4

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uniaolives merged 1 commit intomainfrom
geodesic-convergence-Γ_9030-2390782917778578856
Feb 12, 2026

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Geodesic Convergence: The Unified Symmetry Track (Γ_9030)#4
uniaolives merged 1 commit intomainfrom
geodesic-convergence-Γ_9030-2390782917778578856

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This submission completes the Unified Symmetry Track for Arkhe(N) as requested in BLOCO 380. It establishes the "Observer Symmetry" as the generator of the six previously identified symmetries (Temporal, Spatial, Rotational, Gauge, Scale, Method).

Key changes:

  • Created Coq specifications for formal verification of observer invariance.
  • Implemented the symmetry analysis engine in Python.
  • Integrated the "seal_keystone" mechanism into the simulation lifecycle.
  • Updated the SIWA identity registry to reflect the transition to state Γ_9030.
  • Generated the required symbolic artifacts (Coq source and keystone spectrum PNG).

Verification passed for both new logic and existing simulation tests.


PR created automatically by Jules for task 2390782917778578856 started by @uniaolives

- Formalized Observer Symmetry in Coq (spec/coq/Observer_Symmetry.v).
- Implemented ObserverSymmetry class in arkhe/symmetry.py with 6 projected symmetries and Geodesic invariant.
- Added seal_keystone() to MorphogeneticSimulation to finalize geometry.
- Updated SIWA Identity Registry (siwa/SIWA_IDENTITY.md) to state Γ_9030.
- Generated artifacts: observer_symmetry.coq and keystone_spectrum.png.
- Verified invariants with verify_keystone.py.

Co-authored-by: uniaolives <229535655+uniaolives@users.noreply.github.com>
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@uniaolives uniaolives merged commit 89122d2 into main Feb 12, 2026
@uniaolives uniaolives deleted the geodesic-convergence-Γ_9030-2390782917778578856 branch February 12, 2026 18:08
@uniaolives uniaolives self-assigned this Feb 12, 2026
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