Nodal Weyl algebroids, residue measures, and positive branch-excess stress in quantum-potential geometry

This theoretical preprint develops a broken-conformal Bohm/Weyl correction to Penrose–Diósi objective reduction. The Bohm quantum potential is written as a scalar Weyl curvature of the amplitude geometry, Q_B = −(ℏ²/2m) C_Q ,with C_Q = ∇ · b + b² and b = d ln R . The resulting matter-dressed curvature-square functional defines a positive branch-excess node-stress energy associated with destructive interbranch interference, nodal geometry, matter support, and conformal locking. The central recalculation is that objective-reduction estimates based only on the Einstein/Penrose–Diósi SO(1,3) mass-density self-energy are incomplete, within this effective broken-conformal sector, because they omit the Bohm/Weyl branch-excess energy E_N. The manuscript also distinguishes the static energy-functional correction from the stochastic collapse-rate problem: Γ = E/ℏ is treated as a Penrose-style or white-noise limiting normalization, while finite-time visibility loss generally requires a physical noise/source kernel, heating accounting, and environmental-subtraction protocol. The construction includes a Weyl-scale algebroid formulation of nodal obstruction, a minimal broken-conformal coefficient benchmark, and explicit limitations separating the effective framework from a universal proof that all broken SO(2,4) completions must yield the same coefficients.