TITLE:
NUVO Quantization III: Emergence of Quantum Mechanics from First Principles
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 derive nonrelativistic quantum mechanics directly from NUVO scalar geometry without probabilistic postulates. Starting from the conformal metric
g=
λ
2
η
and the conservation of sinertia flow, we obtain a deterministic scalar transport law whose stationary, closed-frame limit is the Schrödinger equation. Momentum and energy operators arise from the scalar-covariant derivative
D
μ
=
∂
μ
+i
∂
μ
lnλ
, canonical commutators follow from curvature
[
D
μ
,
D
ν
]=i
F
μν
, and the uncertainty relation is a local geometric bound. Planck’s constant appears as the calibrated scale of holonomy. Applications (hydrogenic levels, tunneling, spin holonomy, squeezing) illustrate how standard quantum phenomena emerge from curvature and holonomy of
λ(
x
)
.