Transcendental Seeds, Hadamard Regularisation,and a dynamical spectral - geometric triple

This manuscript presents an original conceptual framework developed by the author, combining spectral–geometric structures with regularisation techniques. The underlying ideas, conceptual direction, and philosophical interpretation of the mathematical structures are entirely the author’s own. Artificial intelligence tools were used as supportive instruments to assist in symbolic exploration, formulation refinement, and structural organization. However, the core intuition, theoretical perspective, and problem framing originate from the author’s independent reasoning. The work reflects an exploratory approach at the interface of mathematical physics and abstract analysis, where computational assistance complements, but does not replace, human-driven conceptual development.