The Fractal-Harmonic Convergence Conjecture: A Spectral Framework for Energy, Collapse, and Quantum Geometry

This work presents the Fractal-Harmonic Convergence Conjecture, a unified framework in which gravitational collapse, electromagnetic field inversion, and quantum entanglement are reinterpreted through the lens of spectral geometry. Building upon a previously proposed self-adjoint differential operator—whose eigenvalues coincide precisely with the nontrivial zeros of the Riemann zeta function—this theory explores how curvature, entropy, and harmonic structure co-evolve across dimensional scales.The paper introduces a new mathematical interpretation of E=Mc² as a spectral boundary condition, reframes black hole collapse as a phase transition governed by quantized field inversion, and suggests testable predictions ranging from magnetar symmetry breaking to planetary plasma resonance.By merging number theory, field theory, and observational cosmology, the conjecture points toward a deeper spectral architecture underlying physical law—one where the universe is not merely observed, but composed through harmonic memory.Erratum (April 2025): Incorrect DOI references were included in the prior version. The mentioned DOI does not correspond to the current work and was added mistakenly during formatting. This version remains original and authored solely by Mark Lindenhayn. This version has the coreect DOI references