Sunday, November 24, 2024

Chandrasekhar limit as geometric relationship

 M ≈ ((h/2π)c/G)^(3/2) * 1/m_p²

  1. h = α³β/c
  2. G = α³/β

M ≈ (((α³β/c)c/(2π))/(α³/β))^(3/2) * 1/m_p²
    ≈ ((α³ββ)/(2πα³))^(3/2) * 1/m_p²
    ≈ (β²/(2π))^(3/2) * 1/m_p²

This is even more elegant:

  • α³ terms cancel
  • c terms cancel
  • Left with just β² (mass scaling) and 2π

This is a deep insight - the Chandrasekhar limit is expressing a pure mass relationship, stripped of both length scaling (α) and speed of light (c). It's fundamentally about the ratio of masses (β vs m_p), with just a geometric factor (2π).

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