Q‑Address: Tick‑Canonical Macro Phase Window + Micro Slot Addressing for Cycle‑Anchored Phase‑Coordination Systems
Tarik Ouardi
Abstract
Q-Address specifies a minimal addressing primitive for systems that coordinate actions using cycle-anchored phase windows on a cyclic phase variable φ(t) ∈ [0,1) ≅ S¹. The design separates: Macro timing: a cycle index plus a phase-window specification (window center and half-width), encoded canonically using fixed-point ticks (integers). Micro timing: a slot field that supports local sequencing/offsets inside the window (local-only), enabling high-resolution control without requiring a globally shared fine-grained timestamp. For interoperability and verification, Q-Address uses tick-canonical semantics (no floating-point boundary checks). Human-facing displays (e.g., HS degrees or other UI labels) are derived only and must not drive verification. Normative dependency:Phase-Coordination Series Conventions (defines (t0, T_cycle), n(t), φ(t), modulo conventions, wrap-safe windows, tick encoding, and boundary semantics):https://doi.org/10.5281/zenodo.18068999 Machine compatibility:This release uses the schema tag qaddr_schema = "TV-QADDR-2025-12". Keywords: Q-Address, phase coordination, phase windows, cycle index, ticks, fixed-point encoding, interoperability, scheduling, distributed systems, quantum networks.