THE KLEIN BOTTLE GRAVITON - A Geometric Derivation of the Hierarchy Problem, Newton's Constant, and Gravitational Wave Dispersion from Dimensional Flow
We propose that the graviton occupies a Klein bottle topology in dimensional-flowspace (ζ-space), with wavefunction ψ_KB(ζ) = N·tanh(γζ)·sech(γζ), where γ = φ−3 ≈0.2361 and φ is the golden ratio. This wavefunction has a exact node at ζ = 0, whichwe identify with the present moment — the soliton crest of dimensional flow whered_eff = 3. The node explains the hierarchy problem geometrically: G is weak becausethe graviton wavefunction vanishes where matter lives (ζ ≈ 15) relative to ζ = 0. Theantis
