Preprint — 18 March 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 difference (FDM) 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 — 19 February 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.