Kasei-Theory V: The First Phase of Structural Impossibility

Kasei-Theory V: The First Phase of Structural Impossibility establishes the minimal structural conditions under which impossibility emerges within an operational system. Impossibility is not treated as transcendence, failure, negation, or external limit. It is defined as a configuration in which the return path to a prior differentiating condition becomes formally closed while processing continues. This volume restricts its scope to the first phase of structural impossibility. At this level, impossibility remains structurally describable, though irreducible to causal explanation, epistemic deficiency, exception, or mystification. The analysis proceeds through three simultaneous conditions: (1) the presupposition of division, (2) the internal circulation of updates, and (3) the closure of return-path configurations. When these conditions stabilize, impossibility appears as a fixed non-return configuration rather than as an event. The work further distinguishes impossibility from the unknown, from exception, and from transcendence. It introduces the notions of configurational fixation, non-return, distributional bias of connectivity, and formal threshold without appealing to quantitative accumulation or external causality. Impossibility is not generated anew; it becomes foregrounded when connectivity configurations reach a structural limit. This volume does not extend beyond the first phase. Later phases of impossibility are not treated here. The present work confines itself to what remains structurally articulable.