Resonance duality

Title: Resonance Projection Duality and the k=50 Container Key: A Geometric Interpretation of Dimensional Bleed-Through Version: 2.0 Authors: Hanlon III, James C. Description: This paper derives a resonance projection ladder from first principles using geometric gap counting and a 10 Hz Reality Projection (RP) pulse. The framework yields integer resonance keys k = {70, 50, 30, 10} for dimensional containers and their projections through the sequence 4D→3D→2D→1D→0D. The N = 3 axiom anchors an infinite, symmetric chain of containers, with k = 50 serving as the phase-matching condition for bleed-through between adjacent 3D shadows. The model predicts observational signatures in gravitational waves, spectral lines, and atomic-clock drifts. Planck-scale consistency checks and entropy scaling are provided in an appendix. Keywords: resonance cosmology, dimensional projection, N=3 axiom, k=50 chain, 10 Hz RP pulse, geometric gap counting, entropy scaling, LIGO, JWST, atomic clock drift, Planck units License: CC-BY-4.0 Related identifiers: isNewVersionOf https://doi.org/10.5281/zenodo.17512607