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

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 = \mathrm{id}), the framework isolates satori and nirvana as simultaneous representation constraints where phase-preserving deviation (\Delta \neq 0) and the absence of additional projection (\pi_{\mathrm{extra}}) 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.