What question did this study set out to answer?

The aim is to reorganize components of the kṣaṇa runtime series within a new framework of bounded non-closure.

April 23, 2026Open Access

A Minimal Review of the kṣaṇa Runtime Series under Bounded Non-Closure

Key Points

The aim is to reorganize components of the kṣaṇa runtime series within a new framework of bounded non-closure.
Introduces a configurational map integrating four key components.
Analyzes roles such as serial transparency and event dynamics without new definitions.
Defines observable event-space using a three-label scheme.
Illustrates cooperation of non-reducible roles on the event surface.
Defines event-space based on pass, distortion, and branch.
Provides a clear structural map guiding understanding of the kṣaṇa runtime.

Abstract

This review repositions four previously fixed components of the kṣaṇa runtime series within a single configurational map under "bounded non-closure" and -indexing. It does not introduce new definitions but exposes the division of labor among: (1) Serial Transparency (same-trace passage), (2) Branch Event (committed divergence), (3) Trigger Function (thresholded projection), and (4) Event Dynamics (activation ordering). The paper provides a unified structural map, illustrating how these non-reducible roles cooperate on the common event surface of the registered kṣaṇa. It concludes the minimal series by defining the observable event-space through a three-label scheme: pass, distortion, and branch.

A Minimal Review of the kṣaṇa Runtime Series under Bounded Non-Closure

Key Points

Abstract

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