npx claudepluginhub plurigrid/asi --plugin asiThis skill uses the workspace's default tool permissions.
Renormalization Group flow with ACSet categorical semantics, XY model topological defects, and Powers PCT hierarchical control.
Orchestrates ASI skills as kinetic blocks: stratifies hierarchically, fabricates via operads/colimits, conserves GF(3)=0 invariant. Uses trits and rules from category theory.
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Renormalization Group flow with ACSet categorical semantics, XY model topological defects, and Powers PCT hierarchical control.
741086072858456200
| Color | Hue | Hex | Role |
|---|---|---|---|
| Cyan | 172° | #23C8B3 | Ordered phase |
| Purple | 292° | #AA22BE | Critical/BKT |
| Gold | 52° | #E0CE51 | Converged fixed point |
@present SchRGFlow(FreeSchema) begin
# Objects
Trace::Ob
EquivalenceClass::Ob
RGStep::Ob
FixedPoint::Ob
# Morphisms
condenses_to::Hom(Trace, EquivalenceClass)
transforms_via::Hom(EquivalenceClass, RGStep)
flows_to::Hom(RGStep, FixedPoint)
# Attributes
tau::Attr(RGStep, Float64)
net_charge::Attr(RGStep, Int)
hue::Attr(EquivalenceClass, Float64)
end
# Predicates (as computed attributes)
NetChargeZero(step) = net_charge(step) == 0
Ordered(step) = tau(step) < 0.893 # Below BKT
Converged(step) = abs(tau(step) - 0.5) < 0.01
Phase: Ordered (below BKT critical τ_c ≈ 0.893)
Defects: 2 vortex/antivortex pairs
Net topological charge: 0 (conserved)
Phenomenal bisect: τ* ≈ 0.5 (converged)
Level 5 (Program): "triadic" goal
↓ sets reference for
Level 4 (Transition): hue velocities [172°, 292°, 52°]
↓ sets reference for
Level 3 (Configuration): complementary angles
↓ sets reference for
Level 2 (Sensation): target hues
↓ sets reference for
Level 1 (Intensity): lightness 0.55
The morphism chain Trace → EquivalenceClass → RGStep → FixedPoint implements:
Triadic colors sum to 0 (mod 3):
#23C8B3 → trit 0 (identity)#AA22BE → trit +1 (creation)#E0CE51 → trit -1 (annihilation)Net charge: 0 + 1 + (-1) = 0 ✓
using ACSets
@acset_type RGFlowACSet(SchRGFlow)
# Create instance at BKT transition
rg = @acset RGFlowACSet begin
Trace = 4
EquivalenceClass = 2
RGStep = 1
FixedPoint = 1
condenses_to = [1, 1, 2, 2]
transforms_via = [1, 1]
flows_to = [1]
tau = [0.5]
net_charge = [0]
hue = [172.0, 292.0]
end
xy-model: XY spin dynamics and BKT transitionphenomenal-bisect: Temperature search for critical τ*hierarchical-control: Powers PCT cascadegay-mcp: Deterministic color generationThis skill connects to the K-Dense-AI/claude-scientific-skills ecosystem:
dynamical-systems: 41 citations in bib.duckdbThis skill maps to Cat# = Comod(P) as a bicomodule in the equipment structure:
Trit: 0 (ERGODIC)
Home: Prof
Poly Op: ⊗
Kan Role: Adj
Color: #26D826
The skill participates in triads satisfying:
(-1) + (0) + (+1) ≡ 0 (mod 3)
This ensures compositional coherence in the Cat# equipment structure.