Definition in the QMU Ledger
In the APM/QMU concept ontology, \(G\) enters as the gravitational coupling term that converts the Compton-volume and quantum-frequency-squared product into Aether maximum mass.
\[
m_a=\frac{{\lambda_C}^{3}{F_q}^{2}}{G}
\]
Aether Mass Bridge
Solving the Aether maximum mass relation for \(G\) gives the reciprocal bridge:
\[
G=\frac{{\lambda_C}^{3}{F_q}^{2}}{m_a}
\]
This makes \(G\) the bridge between the quantum length-frequency product \({\lambda_C}^{3}{F_q}^{2}\) and the Aether-scale mass quantity \(m_a\).
Participating QMU Factors
Compton volume
\[{\lambda_C}^{3}\]
Resonance factor
\[{F_q}^{2}\]
Aether maximum mass
\[m_a\]
Gravitational coupling
\[G\]
Research Use
This page anchors gravity-facing QMU work. It is the natural companion to Aether Mass, Aether Unit, curl, and resonance because it shows how gravitational scaling enters the QMU closure network.