[WIP] Add resonance graph for spectral constant κₚ

[Copilot]

Implementation Plan for Spectral Resonance Visualization

• Understand the mathematical relationship between N = h11 + h21 and κₚ
• Implement function to calculate κₚ(N) in different bases
• Create visualization showing:
  • Blue curve: κₚ(N) in base b* ≈ 2.7069
  • Dotted curve: κₚ(N) in base φ²
  • Red horizontal line at 2.5773
  • Green points marking discrete resonances (where κₚ ≈ integer)
• Test the script to ensure it generates the expected output
• Save visualization to file

Original prompt

Aquí tienes los valores de
𝑁

ℎ
11
+
ℎ
21
N=h
11
+h
21
donde la constante espectral κₚ se vuelve aproximadamente entera usando la base especial
𝑏
∗
≈
2.7069
b
∗
≈2.7069 — es decir, resonancias discretas con significado potencial.

🔍 Además, el gráfico te muestra claramente:

La curva azul: κₚ(N) en base
𝑏
∗
b
∗

La curva punteada: κₚ(N) en base φ²

La línea roja horizontal: valor objetivo 2.5773

Los puntos verdes: donde hay resonancias (κₚ ≈ entero)

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Project	Deployment	Review	Updated (UTC)
p-np	Ready	Preview, Comment	Jan 6, 2026 9:02pm

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