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Distributed strategies, one landscape

Quantum Evolutionary Game Theory, used here as a statistical mixing rule: cheaper developmental programs get more weight. HARs are hypothesized as many small tilts on that landscape — not a single cognition gene, and not a license to call 47/125 a brain constant.

Instrument

Gibbs landscape

Hypothesis
Hypothesis

Each well is a possible developmental program. Balls fall into cheaper wells. Arm the HAR-like operators to tilt costs — sometimes up, sometimes down. This mixing board is synthetic. It is not a fitted brain.

  • ω₁

    16.8%

    C 0.88

  • ω₂

    29.9%

    C 0.59

  • ω₃

    19.7%

    C 0.80

  • ω₄

    11.0%

    C 1.09

  • ω₅

    22.6%

    C 0.73

H₀ = [0.9, 0.6, 0.8, 1.1, 0.7] · Σp = 1.000000 · demo β₀ = 2

  • Established
  • Machine verified
  • Hypothesis

CHIMERA-QEGT-HAR-20260915

Machine room

Machine verified

These numbers rebuild the keep-set from spin-2 generators. They certify an algebra. They do not certify a cortex.

dim V
125
ker K
47
Ω_c
47/125
ρ_⊥
15/17
gap(G)
11664
λ_max(G)
186624
‖P²−P‖_F
6.65e-15
‖R²⁵⁰−P‖₂
4.41e-14

PGT-E47-20260731

Projected Gibbs uniqueness on rank-47 projector, β = 1.7, 200 feasible states, max free-energy identity residual 2.220e-15.

Softmax witness baked in certificate · β = 1.7 · status PASS

Typed composition

Hypothesis
  1. 01S_HARHAR sequence state
  2. 02G_devdevelopmental GRN
  3. 03H_dev(h,t)effective operator
  4. 04ρ_*(h,t)Gibbs / projected state
  5. 05Ymeasured phenotype

Rejectable claims

Hypothesis
  • H1 · Distributed-operator

    A choir of HAR switches should predict cell-state changes better than any one soloist, after you penalize extra knobs.

  • H2 · Compensatory-curvature

    The HARs whose letters fight each other should need interaction terms — not just louder/quieter — to explain why the circuit still works.

  • H3 · 3D-topology

    When a HAR rewrite moves a chromosome loop, the network's shape should change in ways a simple volume knob cannot fake.

  • H4 · Threshold-emergence

    If a developmental order parameter jumps, let measurements name the jump. Do not paste 47/125 onto a brain.

  • H5 · Cross-species transport

    A model fitted on some human↔chimpanzee swaps must predict held-out swaps. If it cannot, the landscape is a story, not an instrument.

Console

Witness rebuilds E47 from SU(2), not from a prescribed 47-dimensional random kernel. HAR operators in the demo are placeholders.