Newton's Constant Is Not Primitive in Quantum Traction Theory: Artian Angular Capacity, Universal Endurance Ceilings, and G = ℓ_A² c³ / ℏ Without Planck-Length Circularity
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Abstract
Six algebraic faces of Newton's constant, with the neutrino face split into shape and absolute-scale tests The structural face is the endurance identity \[ G_A^{({\rm end})} =\frac{\ell_A^2c^3}{\hbar} =\frac{\hbar c^5}{E_\ast^2}. \] Five cross-sector readings interrogate the same endpoint: \[ \begin{aligned} G_A^{(\nu)} &=\hbar c^5\left[\frac{m_0}{(2\pi)^5v_Q^2}\right]^2,\\ G_A^{({\rm EM})} &=\frac{\alpha_{\rm QTT}^2\hbar c^5}{4\left(U_{\rm cap}^{(1)}\right)^2},\\ G_A^{(H\to{\rm lab})} &=2\sqrt2\,(\mathcal R_H^{\rm EW}q_H)^2G_F \frac{\hbar c^5}{(1\,{\rm GeV})^2},\\ G_A^{(t)} &=\hbar c^5\left(\frac{q_HR_t}{m_tc^2}\right)^2,\\ G_A^{(\gamma H)} &=\frac{8\sqrt2\,G_F\hbar c^5}{(1\,{\rm GeV})^2} \exp\!\left[…
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Topics
Keywords
- Dimensionless quantity
- Quantum
- Gravitation
- Axiom
- Action (physics)
- Space (punctuation)
- Quantum gravity
- Coupling (piping)
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