This work introduces the Alim-Continuity Index (Λ), a novel continuity-based internal safety metric for memory-bearing autonomous systems. Unlike conventional output-based evaluation, the proposed framework measures internal system integrity through the dynamic interaction of Temporary Memory (TM) and Bold Memory (BM). The model defines safety as continuity preservation rather than output correctness, governed by: Λ (t) = R (TM, BM) · e^- (ασ (t) + βΔφ (t) ) Here, R represents memory resonance, σ captures external disturbance, and Δφ represents internal continuity deficit. A Silent Alarm Architecture is proposed, where safety mechanisms are triggered when Λ falls below a critical threshold (Λc), without requiring simulated pain or reward-based penalties. This framework provides an identity-preserving approach to AI safety, offering interpretable and computationally efficient monitoring for autonomous systems and large language models.
Alim ul haq Khan (Tue,) studied this question.