What question did this study set out to answer?

This paper aims to formalize satori and nirvana within a novel framework of bounded non-closure.

April 28, 2026Open Access

Satori and Nirvana as Co-Present Configurations under Bounded Non-Closure

Key Points

This paper aims to formalize satori and nirvana within a novel framework of bounded non-closure.
Defined satori and nirvana as co-present configurations using a fixed index set.
Established an update operator L as an identity mapping.
Evaluated 'kṣaṇa' as a static rather than dynamic concept of time.
Showed that satori and nirvana can be represented as simultaneous constraints.
Identified the relationship between phase-preserving deviation and absence of further projections.
Demonstrated that satori can be viewed as a non-transformative structural entity.

Abstract

This paper presents a minimal formalization of "satori" and "nirvana" under the framework of bounded non-closure. Departing from dynamic or generative interpretations of temporal passage, this study redefines these states as co-present configurations evaluated over a fixed index set. By establishing the update operator L as an identity mapping (L = id), the framework isolates satori and nirvana as simultaneous representation constraints where phase-preserving deviation (0) and the absence of additional projection (₄ₗₓₑ₀) coincide. The formulation treats "kṣaṇa" not as an atom of time, but as a static evaluation surface, effectively reducing satori to a non-transformative structural configuration.

Satori and Nirvana as Co-Present Configurations under Bounded Non-Closure

Key Points

Abstract

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