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The Alrohaimi Index (CT): A Mathematical and Cognitive Framework for Civilizational Transformation in the Algorithmic Era

Submitted:

23 April 2026

Posted:

24 April 2026

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Abstract

The accelerating integration of artificial intelligence into societal structures risks reducing human existence to quantifiable data points, algorithmic classifications, and performative metrics—a phenomenon we term algorithmic reductionism. This paper introduces the Alrohaimi Canonical Model, a unified mathematical and cognitive framework designed to diagnose, simulate, and guide civilizational transformation while safeguarding human meaning and agency. Unlike linear economic or technological indices, the Alrohaimi Index () models transformation as a non-linear, meaning-driven process:

where:

· (Composite Cognition) integrates four civilizational inputs: Environment (), Memory (), Systems (), and Human ().

· represents Qualitative Time (density of transformative events multiplied by linear time).

· is Effective Latency (base response time reduced by resilience ).

· is Meaning (Belief × Awareness), acting as an exponential amplifier of transformation.

The model operationalizes abstract philosophical concepts into measurable indicators through three validated questionnaires (Leadership, Organizational, Individual) that assess cognitive balance, awareness, and the meaning gap. It introduces four cognitive profiles (Balanced, Reductionist Efficiency, Disempowered Awareness, Superficial Stability) and automatic strategic recommendations. A real-time interactive dashboard allows users to simulate “what-if” scenarios, compare societies or periods, and export diagnostic reports. We demonstrate the model’s application to protect human integrity in the algorithmic era: by quantifying the risk of reductionism (), policymakers and organizational leaders can design targeted interventions—raising awareness, shortening institutional latency, enhancing resilience, and recentering meaning—to ensure that AI serves human flourishing rather than reducing it to statistical noise. The Alrohaimi Index offers a actionable bridge between complexity theory, Islamic civilizational thought (Ibn Khaldun), existential psychology (Frankl), and contemporary AI ethics, providing a robust decision-support tool for sustainable civilizational transformation.

Keywords: 
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Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
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