When Memory Is Observable: Control Bounds and Temporal-Coarse-Graining Obstructions

Bounds and counterexamples for observing memory under stated control, timing, and readout assumptions, with interval-certified scale estimates and explicit calibration limitations. This is a mathematical study, not a performed physical experiment. AI-assisted research, computation, checking and editing used OpenAI Codex and Anthropic Claude. Luqman Mahmood directed the research and is responsible for its claims and final text. Internal checks are not external peer review or an establishment of priority. CC BY 4.0 covers scholarly documents and mathematical data. Software source and executable verification scripts are excluded; their rights remain reserved unless an individual file states otherwise. Proprietary engineering implementations are not included.