A Spacetime Theory For Inertia: Predicting the Proton, Electron, Neutron and the Solar System in Terms of a One-Second Invariant

We present a complete unified theory demonstrating that a fundamental Lorentz invariant time scale of approximately one second governs phenomena from quantum mechanics to solar system dynamics. The theory derives a universal quantum-gravitational normal force $F_n = h/(c t_1^2)$ where $t_1 = 1$ second emerges from the fundamental stiffness or pliability of spacetime, characterized by gravitational constant $G$ at the Planck scale and the proton's Compton time. We derive this directly from Planck units: $t_1 = \alpha \sqrt{\frac{12}{G^3} \frac{t_P}{t_C} h c^3} \approx 0.9927$ seconds. This framework yields precise mass predictions for fundamental particles through $m_i = \kappa_i \sqrt{\pi r_i^2 F_n/G}$, with experimental verification giving 1.00500 seconds (proton), 1.00478 seconds (neutron), and 0.99773 seconds (electron). Remarkably, the same Lorentz invariant 1-second scale appears in solar system dynamics, where we define a solar system Planck-type constant $\hbar_\odot = (1\ \text{second}) \cdot KE_{\text{Earth}}$ and demonstrate lunar ground state quantization: $\frac{\hbar_\odot^2}{G M_m^3} \cdot \frac{1}{c} = 1$ second. Fibonacci ratios (5/8 quantum, 2/3 cosmic) optimize relationships across scales.