The First Law of Inward Physics: A Field-Theoretic Law of Endogenous Registration

This work presents a concise, axiomatic formulation of a proposed physical law within the framework of Inward Physics. The law introduces a scalar memory-field μ(x,t) whose accumulated registration suppresses future variance exponentially, producing irreversible stabilization in stochastic systems without external control, observer dependence, or retrocausality. The formulation is field-theoretic and minimal, incorporating non-quadratic potentials to permit hysteresis, cross-scale coupling terms to model emergent stability, and an anticipatory constraint that accelerates convergence while preserving causal consistency. Validation is limited to computational simulations demonstrating bounded variance, irreversibility under shocks, and regime-dependent stability behavior. This document is not a peer-reviewed research article but a self-published theoretical proposal intended to establish conceptual priority. No empirical validation beyond simulation is claimed, and no external references are cited. © 2026 Daniel Jacob Read IV. All Rights Reserved. No part of this document may be reproduced, distributed, transmitted, or adapted in any form or by any means, electronic or mechanical, including photocopying, recording, or any information storage and retrieval system, without prior written permission from the author. Authorship and priority are asserted as of January 5, 2026.