Special Relativity in the Language of the Amirhosseini Cycle (AC): Kinematics

> Version 2 adds AC notation and sets the AC form of every equation directly beneath its standard form, correcting a major omission in Version 1. No physics, numbers or conclusions changed. Version 2 supersedes Version 1. Paper 8 in the Amirhosseini Cycle (AC) series. With this paper, the series takes a deliberate detour from pure philosophy. Papers 1–7 developed AC’s architecture on its own terms. Paper 8 begins testing whether that architecture can interface with established scientific domains, by translating standard science into AC’s language. Special relativity is the first domain examined. The paper translates the kinematics of special relativity: how motion, distance, and duration behave, as distinct from dynamics. It is a translation, not a refutation: the equations and predictions of special relativity are kept exactly as physics states them. Building on AC’s observer–observed pair, it re-expresses the invariant interval, light-cone structure, time dilation, length contraction, the relativity of simultaneity, the Lorentz transformation, velocity addition, and the twin paradox in AC terms. Where physics’ vocabulary conflicts with AC’s principles, the conflict is resolved within AC, and no measurable result is changed. No new ontological primitive is introduced. Time does not appear as a foundation: what physics measures as duration is, in AC, a measure of traversal. The result shows expressive adequacy rather than explanatory superiority: AC can host the kinematics of special relativity under its own rules. Why duration and distance enter the interval with opposite signs is left to Paper 9.