Recursive-Resonant Phantom Storage in Central Nervous System (CNS), The Ibaguner Constant (0.3715), and a Conditional Falconer-IFO Theorem

Key Points

• The research aims to develop a recursive-resonant model of memory in the central nervous system and examine its mathematical implications.
• Developed a recursive-resonant model for memory in the CNS
• Introduced the Ibaguner contraction constant
• Analyzed Fourier decay in relation to fractal geometry and operator theory
• Investigated conditional distance-set positivity under specific mathematical conditions
• Demonstrated that recursive contraction leads to enhanced Fourier decay
• Showed that decay crosses the Falconer threshold in R^3
• Provided a framework that unifies themes from operator theory, fractal geometry, and spectral stability