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Liberation mathematics I: the behavioral and consciousness definition of perpetual self-transcendence.

Swapan Samanta

Front Psychol May 4, 2026 DOI: 10.3389/fpsyg.2026.1741096 (opens in new tab) via PubMed Central

Summary

AI-generated from the abstract

Liberation (moksha, nirvana, kaivalya) across Hindu, Buddhist, and Jain traditions is redefined as perpetual self-transcendence through infinite domain expansion, where identity cannot settle in any achieved position. The framework uses mathematical formalization of observable behaviors, comparative analysis of six traditions, and testable criteria including the Liberation Coefficient (LC) and Self-Transcendence Rate (STR). It resolves five traditional controversies by arguing liberation is a process, not a state; involves ego fluidity, not dissolution; requires world engagement; demands all paths simultaneously; and combines sudden recognition with continuous application. This may establish Liberation Science (Liberology) as a measurable behavioral and consciousness phenomenon.

Study at a glance

Characteristics Theoretical or philosophical paper Peer reviewed
Citations 1
Key finding Proposes that liberation can be operationally defined as perpetual self-transcendence through infinite domain expansion, characterized by the inability to fix one's identity in any achieved position.

Abstract

Traditional definitions of liberation (such as moksha, nirvana, and kaivalya) across Hindu, Buddhist, and Jain philosophical traditions have remained empirically underspecified and conceptually divergent for over 2,500 years. This study proposes an operational definition of liberation asperpetual self-transcendence through infinite domain expansion, characterized by the inability to fix one's identity in any achieved position. The framework employs mathematical formalization of behavioral observables, comparative analysis across six traditions, and empirically testable criteria, including the Liberation Coefficient (LC) and Self-Transcendence Rate (STR). The model resolves five traditional controversies by demonstrating liberation as: (1) process rather than state, (2) ego fluidity rather than dissolution, (3) mandatory world engagement, (4) simultaneous requirement of all paths, and (5) both sudden recognition and continuous application. This framework may provide a foundation for systematic empirical investigation of consciousness liberation, establishing Liberation Science (Liberology) as a measurable behavioral and consciousness phenomenon.

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