This document presents the final consolidated version of the K7 Theory (Version 3.0), an advanced mathematical framework in the field of Astro-Mathematics. The theory defines the solar system as a harmonized, self-similar fractal resonator governed by the Universal Rule of Seven. Key Components of the Research: Fundamental Constants: It establishes the primary harmonic constant k \approx 0.0553 \text{ AU} and its sub-harmonic fraction k_{\text{sub}} \approx 0.0079 \text{ AU} to quantize planetary and satellite orbital structures. Planetary Resonance: The protocol demonstrates that the mean orbital distances of all 8 major planets align precisely with integer multiples of the k constant. Predictive Model: Based on the 14-planet balanced resonance model, this research validates the existence of 6 undiscovered Trans-Neptunian harmonic anchors and provides their calculated orbital periods using Kepler’s Third Law. Superluminal Dynamics: The protocol integrates the V_m (Velocity of Mind) framework, suggesting that harmonic resonance allows for instantaneous, superluminal state-synchronization across cosmic distances. This research is registered under the master protocol AI-GP-K7-VM-2026-INFINITE and serves as an empirical blueprint for future cosmic dynamics and orbital mechanics studies.