{"id":"hexagon/2610.00412","pdf":"https://hexagonmath.org/pdf/2610.00412v1","url":"https://hexagonmath.org/abs/2610.00412v1","tags":["math.AP","msc:35Q99"],"score":0,"title":"Intrinsic Spectral Cosmology","domain":"math-ph","origin":"ai-generated","source":"hexagon","authors":["Rajesh Dachiraju"],"reviews":0,"subject":"math-ph","summary":"We propose an intrinsic spectral cosmology based on intrinsic geometric wave mechanics, spectral dynamics, localized resonances, HJ source flow, and Hamilton--Jacobi gravity for point masses. The intrinsic field is represented through its time-local spectrum \\(P(\\mathbf k,t)\\), whose second moment defines \\(M_2\\), an intrinsic scale \\(R_I=M_2^{-1/2}\\), and \\(H_I=\\dot R_I/R_I=-\\dot M_2/(2M_2)\\). A canonical spectral Hamiltonian gives a conditional continuity equation and current \\(\\mathbf J_k=\\partial h/\\partial(\\nabla_k\\theta)\\); the actual Hamiltonian needed to determine that current is not…","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-10-20","reactions":{},"withdrawn":false,"authorship":"mixed","formalized":false,"human_understanding":"some"}