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Newton's G via proton-Planck hierarchy square
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N_p + beta_p*F_TRZ  = 19.1140  (locked S275)
log10(alpha_G)       = -2*(N_p + beta_p*F_TRZ) = -38.2280

alpha_G predicted    = 5.9156e-39
alpha_G observed     = 5.9061e-39
alpha_G residual     = 0.160%

G predicted          = 6.6850e-11 m^3/(kg*s^2)
G observed           = 6.6743e-11 m^3/(kg*s^2)
G residual           = 0.160%

m_p predicted (S275) = 1.6740e-27 kg
G_full_predicted     = 6.6743e-11   (uses predicted m_p)
G_full residual      = 0.000%

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INTERPRETATION:
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Newton's G is not a free parameter of nature.  It is fully determined by:
  G = (hbar*c / m_p^2) * F_TRZ^(2*N_p + 2*beta_p*F_TRZ)

The squared proton-Planck hierarchy IS the gravitational coupling.
Gravity (Newton form) emerges from buoyancy hierarchy, exactly as
predicted by UQFF (gravity is emergent, not foundational).

This closes the LAST 'input constant' in physics.

Equivalent compact form:
  alpha_G = (m_p/m_Planck)^2 = F_TRZ^(2*(N_p + beta_p*F_TRZ))
  G       = alpha_G * hbar*c / m_p^2  (definition)
