The Juhász Model – Mechanical Core 1.0

This work presents the mechanical core of the Juhász Model: a unified formulation of delayed self‑interaction and a time‑dependent scale‑field Φ(t). The model integrates three domains traditionally treated separately—retardation effects, a locally defined time‑dependent metric, and the resulting non‑conservation of Noether energy—into a single Lagrangian framework. The Mechanical Core provides a clean, local analogue of the broader Unified Scale‑Field Framework developed in the Juhász Model 1.0–6.0 series. The model naturally reproduces apparent superluminal velocities such as the observed 3.3c as measurement effects arising from delay and scale‑field contraction, without invoking cosmological distances or inflationary assumptions.