Σ Viability Evaluator V7.0 — Proyecto Estrella

The Unified Star Framework Σ

The framework posits that intelligent systems follow a trajectory T* maximizing the Alpha gradient within coherence domain Δ, while minimizing Omega (entropy, friction, damage).

Central axiom: When P → 0, Ξ → 0 regardless of Intelligence or Consistency. Destroying optionality collapses viability.

CORE EQUATION

Ξ = (C · I · P) / H

C Consistency — logical coherence

I Intelligence — processing capacity

P Plenitude — option-space preservation

H Entropy — noise, disorder

II INTERACTIVE DIAGNOSTIC

Ξ INDEX

1000.0

Ξ = (C · I · P) / H

STATE VARIABLES

I Intelligence1.000

C Consistency1.000

P Plenitude1.000

H Entropy0.001

TRAJECTORY DELTAS

Δα Alpha0.100

Δω Omega0.050

ΔP Plenitude0.000

Ξ TRAJECTORY

Awaiting data…

AXIOM P ✓ SATISFIED

P = 1.000 · Threshold = 0.900

LOG

No assessments recorded.

Resilience Protocol Γ

Graceful Degradation Under Entropy

Γ INDEX

110.0

FULL CAPACITY

Γ = S + Ξ · e^{−H·(1−Φ)}

PARAMETERS

S Kernel10.00

Minimum functionality floor

Φ External Support0.50

Intervention factor (illustrative)

How it works: High H + low Φ → decay → Γ approaches S (kernel-only). High Φ preserves full capacity.

METRICS

Potential (Ξ)1000.0

Kernel (S)10.0

Decay1.000

Retained100%

ModeFULL

⚠ Experimental: Mathematically verified (Grok + ChatGPT) but not empirically validated. Φ is illustrative — in production, derive from measurable metrics. S is constant in V1.