Preprint — 2026

The Unified Scalar-Tensor Theory of Erflett Spacetime: Shiodome Tensor, Geometry, and Temporal Coupling

Saika Shiodome (Saika Tagami) — Erflett Spacetime Research Division, Al'bina Institute for Space and Universal Studies (AISU)

We present the first complete field-theoretical description of Erflett spacetime, unifying Brans-Dicke scalar-tensor gravity with a novel geometric boundary tensor — the Shiodome tensor $S_{\mu\nu}$ — that encodes the inverted-square-pyramid geometry and north-south asymmetry intrinsic to the Erflett world. The theory is formulated via a modified Lagrangian density comprising a dynamic scalar field $X$, the Shiodome tensor implementing boundary constraints and anisotropic spatial structure, and a multi-well potential $U(X,\phi,z)$ generating phase-dependent equilibria. We derive the complete field equations and implement a finite element (FEM) numerical solution over the pyramid domain $\Omega$, achieving agreement with AISU-ETCS API empirical proper-time-ratio data to within 1%. The $4{:}1$ north-south time-flow asymmetry is reproduced exactly from the non-linear cube law of the Brans-Dicke field.

Keywords: Erflett spacetime, Brans-Dicke theory, scalar-tensor gravity, boundary geometry, proper time, pyramid manifold, north-south asymmetry

Internal Report — 2026

AISU-ETCS Mathematical Framework and Theoretical Foundations v2.0

Al'bina Institute for Space and Universal Studies (AISU) — Erflett Spacetime Research Division

Establishes the phenomenological mathematical framework underlying the AISU Erflett Temporal-gravitational Calculation System (AISU-ETCS). Defines the empirical formulae for proper time ratio, kinematic gravity, and the scalar coupling field $X$ across the Erflett pyramid domain. Provides the reference data against which the v3 unified field theory was validated. Originally an internal report; made publicly accessible March 2026.