Symbolic Modular Fields and the KN Framework: A Structural Resolution to Spacetime Memory and the Black Hole Information Paradox

This paper introduces the KN (Kuro Nova) framework as a structural resolution to the recently resurfaced hypothesis that space-time may store memory through an “imprint operator.” While the original idea was popularized via social media, this work provides a rigorous mathematical formalism that not only implements symbolic imprinting but actively stabilizes it. The KN function models recursive symbolic excitation, memory resonance, and modular dissonance to preserve identity, prevent decoherence, and support phase-stable information flow across gravitational boundaries. Applied to black hole evaporation, KN resolves the information paradox by preventing singularities and retaining symbolic structure post-collapse. This brief serves as a direct theoretical response to the emerging discourse on memory-bearing space-time and introduces KN as a viable mechanism for encoding symbolic memory in quantum gravitational systems.