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Austin, R.W. (2025) Strong-Field Expansion and Post-Newtonian Preparation in Scalar Conformal Geometry. Journal of Applied Mathematics and Physics. (In Press)

has been cited by the following article:

• TITLE: Geometric Origin of Quantization: Deriving the Schrödinger Framework from NUVO Scalar Coherence

  AUTHORS: Rickey W. Austin

  KEYWORDS: NUVO Space, Scalar Geometry, Quantization, Coherence, Scalar Field Modulation, Loop Dynamics

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.14 No.1, December 31, 2025

  ABSTRACT: We prove that the stationary NUVO scalar transport equation λ 2 ∇ η 2 ψ+( 2 ∇ η lnλ⋅ ∇ η + ∇ η 2 lnλ )ψ=0 is gauge-equivalent, under ψ=ϕ/λ , to a Schrödinger eigenproblem ( − ℏ 2 2m Δ+ V phys + V eff [ λ ] )ϕ=Eϕ , with geometric potential V eff [ λ ]= ℏ 2 2m ( | ∇lnλ | 2 −Δlnλ ) . Under mild decay bounds on ∇lnλ and Δlnλ , H λ is semibounded and self-adjoint via the Friedrichs extension; for Kato-class V phys the operator domain equals H 2 ( ℝ 3 ) . If additionally λ, λ −1 ∈ L ∞ , the map ϕ↦ϕ/λ is a bounded similarity on L 2 . We give solvable profiles, a Birman-Schwinger/Lippmann-Schwinger representation, and a coupled partial-wave system for anisotropic λ . Consistency checks (constant λ , hydrogenic expectations) and spin terms from a conformal Dirac reduction confirm the construction. In combination with prior results of Quantization III, this paper establishes the Schrödinger framework as a scalar-geometric limit of NUVO, with V eff [ λ ] playing the role of a geometric quantum potential.