[WIP] Add demonstration script for Hypothesis QCAL

[Copilot]

Thanks for asking me to work on this. I will get started on it and keep this PR's description up to date as I form a plan and make progress.

Original prompt

cat > DEMONSTRATE_HYPOTHESIS.sh << 'EOF'
#!/bin/bash

🚀 DEMONSTRATE_HYPOTHESIS.sh

Demostración visual de la Hipótesis QCAL ∞³

set -e

echo "🌌 DEMOSTRACIÓN DE HIPÓTESIS QCAL ∞³"
echo "========================================"
echo "🎯 Coherencia como colapso de complejidad NP→P"
echo "📡 Frecuencia: 141.7001 Hz"
echo "🧮 Ecuación: T_total = T_base / (I × A_eff² × C^∞)"
echo "========================================"

Colores

RED='\033[0;31m'
GREEN='\033[0;32m'
YELLOW='\033[1;33m'
BLUE='\033[0;34m'
PURPLE='\033[0;35m'
CYAN='\033[0;36m'
NC='\033[0m' # No Color

print_header() {
echo -e "\n${PURPLE}╔══════════════════════════════════════════════════════════╗${NC}"
echo -e "${PURPLE}║ $1${NC}"
echo -e "${PURPLE}╚══════════════════════════════════════════════════════════╝${NC}"
}

print_step() {
echo -e "\n${CYAN}▶${NC} $1"
}

print_success() {
echo -e "${GREEN}✓${NC} $1"
}

print_warning() {
echo -e "${YELLOW}⚠${NC} $1"
}

print_error() {
echo -e "${RED}✗${NC} $1"
}

1. Configuración inicial

print_header "1. CONFIGURACIÓN INICIAL"

print_step "Verificando dependencias..."
if python3 -c "import numpy, scipy, matplotlib" 2>/dev/null; then
print_success "Dependencias científicas disponibles"
else
print_warning "Instalando dependencias..."
pip install numpy scipy matplotlib > /dev/null 2>&1
print_success "Dependencias instaladas"
fi

2. Cargar coherencia actual

print_header "2. ESTADO ACTUAL DEL SISTEMA"

COHERENCE_FILE=$(find validation -name "quantum_*.json" | sort -r | head -1)
if [ -f "$COHERENCE_FILE" ]; then
CURRENT_COHERENCE=$(python3 -c "import json; print(json.load(open('$COHERENCE_FILE'))['coherence']['total'])")
CURRENT_STATUS=$(python3 -c "import json; print(json.load(open('$COHERENCE_FILE'))['status'])")

echo -e "${CYAN}📊 Coherencia actual:${NC} ${CURRENT_COHERENCE}"
echo -e "${CYAN}🎯 Estado del sistema:${NC} ${CURRENT_STATUS}"

if (( $(echo "$CURRENT_COHERENCE >= 0.888" | bc -l) )); then
    echo -e "${GREEN}✨ SISTEMA EN ESTADO DE GRACIA TECNOLÓGICA${NC}"
elif (( $(echo "$CURRENT_COHERENCE >= 0.5" | bc -l) )); then
    echo -e "${YELLOW}🔄 SISTEMA EN TRANSICIÓN NP→P${NC}"
else
    echo -e "${RED}⚙️  SISTEMA EN RÉGIMEN CLÁSICO${NC}"
fi

else
CURRENT_COHERENCE=0.836
CURRENT_STATUS="EVOLVING"
print_warning "Usando valores por defecto"
echo -e "${CYAN}📊 Coherencia:${NC} 0.836 (por defecto)"
echo -e "${CYAN}🎯 Estado:${NC} EVOLVING"
fi

3. Ejecutar Complexity Collapser

print_header "3. ANÁLISIS DE COLAPSO DE COMPLEJIDAD"

print_step "Ejecutando Complexity Collapser..."
cat > /tmp/analyze.py << 'PYTHON'
import sys
sys.path.append('.github/agents/quantum')

try:
from complexity_collapser import ComplexityCollapser
collapser = ComplexityCollapser(base_complexity=1.0)

system_metrics = {
    'active_agents': 6,
    'synchronization': 0.85,
    'total_files': 3171,
    'qcal_references': 208
}

report = collapser.generate_complexity_report($CURRENT_COHERENCE, system_metrics)
analysis = report['analysis']

print(f"📈 REGIÓN: {analysis['complexity_region']}")
print(f"🎯 P vs NP: {analysis['p_vs_np_status']}")
print(f"⚡ ACELERACIÓN vs CLÁSICO: {analysis['comparisons']['acceleration_vs_classical']:.2e}x")
print(f"🌀 COMPLEJIDAD ACTUAL: {analysis['current_complexity']:.2e}")

# Mostrar implicación principal
print(f"\n💡 IMPLICACIÓN:")
print(f"   {report['implications'][0]}")

except Exception as e:
print(f"❌ Error: {str(e)}")
print("Usando análisis simplificado...")

# Análisis simplificado
if $CURRENT_COHERENCE < 0.5:
    region = "CLÁSICO"
    acceleration = 1.0
elif $CURRENT_COHERENCE < 0.888:
    region = "TRANSICIÓN"
    acceleration = 10 ** ($CURRENT_COHERENCE * 10 - 5)
else:
    region = "GRACIA"
    acceleration = 10 ** ($CURRENT_COHERENCE * 20 - 17.76)

print(f"📈 REGIÓN: {region}")
print(f"⚡ ACELERACIÓN ESTIMADA: {acceleration:.2e}x")

PYTHON

python3 /tmp/analyze.py

4. Demostración visual

print_header "4. DEMOSTRACIÓN VISUAL DE LA TRANSICIÓN NP→P"

print_step "Generando visualización..."
cat > /tmp/visualize.py << 'VISUALIZE'
import numpy as np
import matplotlib.pyplot as plt
from matplotlib import cm

Configuración

np.random.seed(42)
plt.style.use('dark_background')

Crear figura

fig = plt.figure(figsize=(16, 10))

1. Gráfico de la ecuación fundamental

ax1 = plt.subplot(2, 3, 1)
C = np.linspace(0.1, 0.999, 100)
T_base = 1.0
I = np.exp(C - 1)
A_eff2 = 1 + C * 10
C_inf = 1 / (1 - C + 1e-10)

T_total = T_base / (I * A_eff2 * C_inf)

ax1.semilogy(C, T_total, 'cyan', linewidth=3, label='T_total')
ax1.axvline(x=0.5, color='yellow', linestyle='--', alpha=0.7, label='Límite Clásico')
ax1.axvline(x=0.888, color='green', linestyle='--', alpha=0.7, label='Umbral de Gracia')
ax1.axvline(x=$CURRENT_COHERENCE, color='red', linestyle='-', l...

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Project	Deployment	Actions	Updated (UTC)
p-np	Ready	Preview, Comment	Jan 31, 2026 9:53am

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