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Bibliographic Details
Main Author:	Yi, Yunbeom
Format:	Recurso digital
Language:	English
Published:	Zenodo 2025
Subjects:	Physics Theoretical Physics High Energy Physics – Theory Informational Projection Theory Gauge symmetry Abelian and non-Abelian gauge theory Yang–Mills theory Noether currents Informational currents Open and closed information Informational curvature Fifth force Long-range interactions Fundamental interactions Quantum gravity Cosmology Black hole physics Information conservation
Online Access:	https://doi.org/10.5281/zenodo.18036834
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Table of Contents:

We close the R3 (conservative / time-completed) regime at the level of principal symbols under the series rule that the spatial density e(·) is held fixed across readings. The contribution is not a claim of deriving “all physics” from the full functional E[g, IR, II ] in one step, but a corridor-level closure: once the open-sector Laplace-type backbone is fixed by the density-fixed rule, and one adopts standard conservative completion/correspondence gates, a rigid chain follows. Concretely, (i) any local linear second-order time completion preserving the Laplace back- bone yields a Klein–Gordon-type principal part; (ii) a rest-mass phase rotation gives an exact KG→Sch identity with explicit relativistic correction; (iii) under a quantitative slow-envelope gate ε = ℏω/(mc2) ≪ 1 on a fixed time window, the identity reduces to Schr¨odinger dynamics; (iv) in the local-potential presentation, WKB yields exact continuity/phase equations and for- mally reduces to Hamilton–Jacobi as ℏ → 0. As a design constraint in the series, within a fixed linear scalar, local, second-order Laplace-type Schr¨odinger class (up to lower-order pertur- bations, possibly order-0 operators), the semiclassical kinetic term is locked to be quadratic; “HJ-only modification” is excluded unless the operator class is changed.

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