Recursive Resolution in Cymatic Fields: Evidence of Infinite Information Density via Iterative Optical Extraction

Recursive Resolution in Cymatic Fields This paper provides the first quantitative proof that cymatic nodal lattices are literal scale-invariant fractals, not finite geometric patterns. By applying a proprietary Recursive Extraction Protocol, we demonstrate the falsification of the 'resolution floor'—proving that vibrational phenomena encode deterministic data across at least four orders of magnitude. Key Findings:- Verification of a constant Fractal Dimension (Db = 1.74) with a near-perfect statistical correlation (R² = 0.999).- Discovery of the 'Quantum Phase': a regime of infinite connectivity and strange-attractor dynamics within the nodal field.- Redefinition of Cymatics as 'Holographic Spectroscopy,' where the standing wave acts as a physical Fourier Transform of the information field. This work moves the study of vibration from classical observation to an Information-Theory absolute. The resolution is not limited by the wave; it is only limited by the observer’s capacity to navigate the scale.