Neutrinos in Dark Geometry

Neutrinos occupy a unique position in particle physics: they carry no electric charge, no color charge, and have extremely small masses. This makes them pure geometric probes—particles that interact primarily through gravity and the weak force, and are therefore maximally sensitive to spacetime geometry. In this paper, we develop a comprehensive theory of neutrinos within the Dark Geometry framework. We show that: (1) the neutrino mass-squared differences follow a Fibonacci pattern, with ∆m221/∆m231 = 1/34 = 1/F9, matching experimental data to 96% accuracy; (2) neutrino masses couple to the Dark Boson through the conformal metric, leading to position-dependent effective masses meffν = mν · I1/4; (3) neutrino oscillations encode informational thermodynamics, with the oscillation phase related to the information ratio I. We derive testable predictions for solar, atmospheric, and cosmological neutrinos, and argue that neutrinos are the ideal laboratory for testing Dark Geometry. Keywords: Neutrinos, Dark Geometry, Fibonacci sequence, Neutrino oscillations, Dark Boson, Conformal coupling, Informational thermodynamics