A longstanding structural oversight in special relativity arises from treating acceleration as a causal quantity while leaving the rate of directional change unconstrained. This omission allows dynamical models to supply rate updates that exceed the geometric limits imposed by the worldline, even when their equations appear consistent. This work develops a geometric, model‑agnostic framework for identifying and correcting such causal inconsistencies by decomposing each rate update into tangential and spacelike components. In order to express directional change within the same causal units used for linear acceleration, the framework introduces a normalization method that converts rotational curvature into an equivalent velocity‑like rate, allowing all contributions to be evaluated within a unified causal budget. The causal rate decomposition (CRD) exposes breaches by separating each update into permissible and excess parts. The causal redistribution network (CRN) tracks how these deficits propagate through the model’s internal dependencies. The causal adsorption and redistribution mechanism (CARD) restores permissible dynamics by removing the spacelike component and returning its magnitude along the tangential direction with minimal deviation from the intended update. The framework is minimal, local, and compatible with a wide range of dynamical systems. It introduces no new forces or equations; instead, it reveals the causal structure already present in the model and provides a principled method for verifying and correcting the permissibility of rate updates. By exposing the curvature expenditure associated with both linear and rotational motion, the framework offers a unified geometric perspective on causal consistency and clarifies the consequences of the overlooked constraint in special relativity.
Gary A. Marszalek (Thu,) studied this question.