Juza Minamikata

This paper fixes the minimal structural conditions under which irreversibility holds. Configuration is fixed as a difference-structure under structural constraint, and retention is fixed as structural persistence. No total integration is constituted, and no return is established. Irreversibility is not introduced as a derived property, but fixed as a structural condition determined by the absence of integration and return. Time is fixed where retention holds without return under asymmetry. This paper presents a minimal structural formulation of irreversibility within Kasei-Theory. It is part of an ongoing series that reconstructs the foundational concepts of physics through structural fixation rather than derivation.

This paper presents a structural configuration in which connection persists without forming a return path. Connection is not removed or interrupted but does not converge into a single sequence. It remains as a distributed configuration that does not admit correspondence, mapping, or identity. Closure is defined not as termination but as the condition under which return cannot be constituted. Connection persists, but return does not arise as a form. What fails is not connection itself but the structural possibility of return. This configuration is fixed without presupposing operation, selection, or intervention. The paper also articulates asymmetry as a fixed condition: distribution remains biased, and recovery does not occur. Return, recovery, and unification do not arise. This is not a theory of process or transformation but a fixation of structural conditions under which return cannot be established.

This text fixes the conditions under which structural construction is not admitted. It rejects assignment, mapping, and set-theoretic construction as admissible operations and does not introduce a model or define a system. What appears under relational constraint does not constitute an independent term but is fixed as a locus without constructive expression. Retention is fixed as a structural condition internal to difference-configuration. Localization is fixed without constructing a domain, coordinate system, or index. No construction is performed. No object is generated. Structure is not constructed but fixed.

This paper presents a non-constructive formulation of structural localization. Difference-configuration is fixed without recourse to mapping, assignment, or set-theoretic construction. Constraint is not treated as an operation but as a non-cyclic and non-branching condition under which difference does not return and does not branch. Within this framework, identity retention is fixed as an internal structural condition. Retention and non-retention do not constitute independent terms but appear only as loci under constraint. Persistence is fixed as the non-collapse of retention, and localization is given as the internal structural differentiation of persistence. The framework excludes constructive definition at the level of these loci. Assignment is not admitted, as it fixes terms as independent entities and thereby conflicts with their relational status. No difference-configuration admits global retention, propagation, reconstruction, or closure. Structure is fixed without construction.

This paper presents a structural framework in which difference, retention, and localization are fixed without recourse to set-theoretic, metric, or coordinate-based assumptions. Difference is defined as a non-numeric structural relation that does not reduce to magnitude, subtraction, or distance. A constraint operator is introduced that fixes difference-configurations under conditions of non-cyclicity and non-branching. Time is not presupposed as an independent parameter, but is defined as this constraint on difference. Identity retention is defined as a structural condition internal to difference-configuration, without presupposing element-wise correspondence, mapping, or persistence of positions across configurations. Localization is not treated as a domain or set of elements, but as structural differentiation internal to configuration. Energy and mass are not introduced as quantities or measures. They are fixed as structural loci determined by the presence or absence of identity-retention under constrained difference. Energy designates the condition under which identity is not retained, while mass designates the condition under which identity is retained. The framework does not derive or explain physical quantities, nor does it posit underlying elements, substances, or coordinate systems. It instead fixes the conditions under which difference is not eliminated, order does not propagate, and configuration persists without completion or closure. This work is situated at the intersection of philosophy of physics, metaphysics, and philosophy of language, and forms part of the broader Anti-Semantics and Kasei-Theory program.

This paper defines a minimal structural system in which application does not close, order does not propagate, and incomparability is not eliminated. It does not propose a theory of generation, causality, or transition. Instead, it fixes the conditions under which application persists without completion and order fails to extend. Within this framework, structure is not treated as a completed relation or a closed system. Time is fixed as the failure of order propagation under persistent application, space as the domain of incomparability in density, and observation as a derived structural regime that does not restore total order. Vacuum is fixed as the dominance of incomparability, particle as the local persistence of order, and black hole as the transition from order to incomparability. Universe is fixed as the coexistence of persistent order within dominant incomparability. The system does not assume closure, composability, or total order. It defines a non-modal and non-causal structural configuration in which persistence remains without guaranteeing activation.

This paper defines a minimal relational system in which failure persists without resolution. The system does not describe generation, causality, or transition. It does not explain how structures emerge or how states evolve. Instead, it fixes the condition under which application occurs without completion and relation is retained without activation. Retention is defined as persistence without guarantee. Activation is defined as the condition under which relation becomes operative. The system isolates the case in which retention remains while activation fails. Failure is not treated as absence, error, or termination. It is defined as the condition in which application does not close. No state is completed, and no transition is secured. Within this configuration, structure is not produced. It is fixed as the persistence of non-completion. This paper establishes a non-modal, non-causal framework that repositions relation, operation, and persistence as conditions without resolution.

This text presents a structural framework in which establishment, retention, and failure are defined as distinct yet inseparable conditions. It does not propose a theory of meaning, nor a theory of possibility or necessity. Instead, it fixes the conditions under which establishment is fixed, is retained, and fails without structural substitution. Meaning is not given or generated but is fixed only after establishment, as a structure that conceals its own conditions. Within this framework, retention does not guarantee itself. Connection and configuration are not lost but are not retained. Boundary is fixed as this failure, not as absence or separation. The text introduces Ka as the terrain in which establishment is placed without origin, cause, or reason. Reading is not an operation of a subject but the condition under which what is exposed is fixed as already established. This text defines a non-modal structural system that underlies and fixes the structural position of meaning, time, space, and causality.

This paper defines boundary as the failure of retention within the framework of Kasei-Theory. Boundary is not treated as a limit, separation, or external condition. It is not the absence of relation, nor the interruption of continuity. Instead, boundary is fixed as the condition under which retention is not retained. This formulation is fixed within a non-modal structural system in which establishment, retention, and failure are defined independently of meaning, subject, or causality. Retention does not collapse into absence; it is not retained without structural substitution. Boundary is fixed at this point of failure. Time, space, and causality are fixed as distinct forms of retention, while boundary is fixed as the structural condition in which retention does not hold. Boundary is therefore not a delimitation of region but the non-retention of configuration. This paper defines boundary not as a spatial or logical division, but as failure within retention itself.

This paper defines causality as a form of retained connectivity within the framework of Kasei-Theory. Causality is not treated as a productive relation, a temporal ordering, or a necessary linkage between events. Instead, it is fixed as the retention of connections that remain without structural disconnection. Connectivity is retained under conditions of irreversibility. This formulation is fixed within a non-modal structural system in which establishment, retention, and failure are defined independently of meaning, subject, or causal explanation. Time is fixed as the retention of irreversibility, space as the retention of configuration, and causality as the retention of connectivity. Causality is therefore not a generative principle but a structural condition of retained relations. What is commonly interpreted as causal force is fixed as the persistence of connections within a retained configuration.

This paper defines space as a form of retention within the framework of Kasei-Theory. It does not treat space as an independent domain, container, or geometric background. Instead, space is fixed as the retention of configuration without collapse into indistinction. Retention is not preservation but the persistence of established relations under conditions of irreversibility. This formulation is fixed within a non-modal structural system in which establishment, retention, and failure are defined without reference to meaning, subject, or causality. Time is fixed as the retention of irreversibility, and space as the retention of configuration; both are distinct forms of retention rather than separate ontological domains. The paper situates space within a broader anti-semantic framework, where structural conditions fix and delimit the appearance of meaning. Space is therefore not given but fixed as a structural condition of retained configuration.

This paper examines the structural conditions under which time is fixed within configuration. Irreversibility alone does not constitute time. It does not persist, nor is it fixed without distinction. Without distinction, irreversibility is not retained, and without retention, no temporal condition is fixed. Distinction is not generated but fixed within configuration. Fixation fixes arrangement without introducing order, succession, or flow. Such arrangement remains non-temporal. Time is not fixed at the level of arrangement alone. It is fixed where arrangement is retained and asymmetry is fixed. Retention does not preserve identity; it preserves distinction as distinction. Under this condition, irreversibility is structurally distinguishable and does not collapse. Time therefore does not consist in flow, order, succession, or measurement. It is the structural condition in which irreversibility is retained as distinguishable. The paper argues that time is fixed as the structural retention of distinguishable irreversibility, independently of temporal presupposition.

This paper examines the structural conditions under which irreversibility is fixed within configuration. Irreversibility is not primitive. It is fixed when configurations are no longer structurally accessible for return. However, irreversibility does not result from temporal succession or causal process and cannot be reduced to change or duration. Irreversibility is fixed where pathways of return are structurally closed. This closure does not eliminate difference but renders certain connections inoperative, such that prior configurations are not structurally reconstitutable. Irreversibility therefore does not consist in flow or progression. It is the structural condition under which return is no longer possible within configuration. The paper argues that irreversibility is fixed as the closure of return pathways, independently of temporal structure and prior to time.

This paper examines the structural conditions under which readability is fixed within configuration. Relation is not primitive. It is fixed when differences are no longer fixed as independently persistent. However, relation alone does not suffice to fix readability. Even when relations are stabilized and inseparability is fixed, this condition remains non-readable unless further structuring is fixed. Readability is fixed where stabilized relations are traceable, distinguishable, and separable across recurrence. Ordering is fixed as a structural condition within this configuration. Readability does not introduce meaning; rather, it fixes and retains ordering within configuration. The paper argues that readability is not fixed at the level of relation itself, but at the level of structural retention of ordered recurrence, prior to and independent of semantic formation.

This paper examines the structural condition under which relations are fixed within configuration. Previous analysis in Kasei-Theory showed that configuration is fixed only where differences attain a stabilized arrangement. Yet configuration alone does not constitute a world: differences may persist within an arrangement without being fixed as relations, and without relations no readable structure is stabilized. The present study investigates the threshold at which persistent differences within configuration are no longer merely adjacent but are fixed as relations. In this account, relation is not treated as a primitive element nor as a causal product. Instead, relation is fixed as a structural condition within configuration when persistent differences are distributed in a manner that fixes their adjacency. This framework fixes relation between configuration and readability. Only where relations are fixed in sufficiently stable distributions can differences be traced as history, fixing the universe as readable. Note: The internal PDF title may differ from the listing title due to ongoing series standardization. This work is part of Kasei-Theory, Series II.

This paper investigates the structural level preceding stabilized configuration and continuity in Kasei-Theory. Physics fixes only the region in which readability is stabilized as observable history and therefore presupposes the fixation of configuration. The paper fixes the pre-continuum as the domain in which configuration is not yet stabilized and continuity is not fixed. Continuity is fixed only where configuration stabilizes sufficiently for relations and readability to remain structurally retainable. The structural ordering Ka → pre-continuum → configuration → readability → universe is fixed, and physics is delimited within the stabilized readable region.

This paper presents the minimal formal structure underlying the physical analysis developed in Physics I–V of Kasei-Theory. Physics does not fix configuration as such. It fixes only the region in which readability is stabilized as a persistent condition. The universe is therefore defined as the stabilized readable subset of configuration. The relations between the configuration domain, readable configuration, and the universe are summarized in the structural hierarchy: U ⊂ R ⊂ C ⊂ Ka. This hierarchy expresses the structural boundary within which physics is delimited.

This paper develops the fifth extension of Kasei-Theory in relation to physics and investigates the structural threshold of physics. Previous papers introduced the phase structure latent → dec → col and fixed that physics describes only the regime in which configuration stabilizes as readable structure. The present work focuses on the boundary preceding this stabilization. It argues that physics does not begin with configuration as such, but only where readability is fixed as stable enough for continuous relations, measurement, and order. Within this threshold region several unstable regimes are fixed, including abortive readability, thin structures, saturation, and disconnection. These regimes fix readability as a non-primitive condition of configuration. Physics therefore describes only a limited domain of configuration: the region in which readability is fixed with sufficient stability to define a world.

This paper investigates the col phase as the structural limit of readable configuration within Kasei-Theory. Physics I fixed the phase structure latent → dec → col, and subsequent analyses fixed the readable regime in which configuration stabilizes as readable history. Collapse does not designate destruction or disappearance of configuration. It marks the structural limit at which readability is no longer retained as readable history. Configuration remains fixed beyond this limit without readable stabilization. The col phase is not emptiness, annihilation, or absence. It designates the structural domain in which configuration remains without readable fixation. The paper does not identify the col phase with a specific empirical phenomenon. It fixes the structural condition delimiting the limit of readable history.

This paper investigates the structural limit of readable configuration within Kasei-Theory. Physics I fixed the phase structure latent → dec → col, and Physics II fixed the readable regime in which configuration stabilizes as readable history. The present work fixes collapse density as the structural limit at which readable coherence is no longer retained. Collapse does not designate destruction or disappearance of configuration. It marks the limit at which readability is no longer structurally sustainable. The paper does not replace physical theory or identify collapse with a specific empirical phenomenon. It fixes the structural condition delimiting the readable regime and its limit.

This paper develops the second physical extension of Kasei-Theory. Physics I introduced the phase structure latent → dec → col. The present work focuses on the internal structure of the dec phase, the regime in which configurations are fixed as readable and persist as stabilized readout. It argues that the universe is not an independently existing object but a stabilized configuration of readout within the readable regime. Within this regime, configurations persist and accumulate as readable structure, fixing what is read as cosmic order. This paper does not replace physical theory but fixes its structural position by determining the conditions under which readable configurations stabilize and persist.

This paper closes the first system of Kasei-Theory. The system does not fix generation or causal origin, but the structural conditions under which differences become readable, fixed, and lose their return paths. The closure of this system shows that cessation cannot be established as a structural state. Any attempt to describe complete disappearance introduces distinction and therefore fails to eliminate difference. What remains is not cause, force, or principle, but history: the irreversible trace of differences already fixed within a configuration of connectivity. The symbol update′ designates the structural condition under which this history cannot converge to zero. The first system therefore ends not in completion but in the impossibility of structural cessation, fixing the necessity of a subsequent system without continuity.

Physics is commonly understood as the study of particles, fields, space, and time. Yet such descriptions already presuppose a decisive condition: the world must have become readable. This paper develops a structural interpretation of physics within the framework of Kasei-Theory. According to this view, the universe described by physics corresponds not to the totality of possibility but to a particular readable configuration of it. Physical reality belongs to what Kasei-Theory calls the dec phase, a regime in which latent structural possibilities are read out and stabilized. The theory distinguishes three structural regimes—latent, dec, and col—and interprets physical phenomena as configurations fixed within this broader structure of possibility. From this perspective, several domains of contemporary physics, including spacetime structure, quantum measurement, cosmological inflation, and the emergence of consciousness, are understood as configurations within stabilized structural readability. Physics therefore does not begin with existence itself. Physics begins when possibility becomes readable.

Structural Impossibility II in Kasei-Theory designates a configuration in which the applicability of form is delimited as non-applicable while formal structures remain present. Whereas the first phase of structural impossibility is fixed where return paths within operational systems are closed, the second phase concerns a different limit: the non-fixation of applicability itself. In this configuration, the issue is not the absence of language, knowledge, or conceptual resources. Concepts and formal structures remain available, yet the conditions of valid application are not fixed. Structural Impossibility II therefore marks a configuration in which forms persist while their applicability is not fixed. For this reason, Structural Impossibility II must be distinguished from the unknown, the indeterminate, and the merely unexplained. The problem is not epistemic limitation but structural non-applicability. The purpose of this paper is not to resolve this configuration but to fix its structural position within the architecture of the first system of Kasei-Theory. Structural Impossibility II thus marks the limit at which applicability is not fixed while structural forms remain formally present.

Boundary in Kasei-Theory is defined as the structural configuration that determines the range within which connections, updates, and impossibility are fixed. It is not a spatial division, an external limit, or a causal condition, but a configuration fixed under accumulated structural constraints, including the fixation of readers, the stabilization of differences, and the closure of return paths. This paper analyzes boundary as a structural limit within the architecture of the first system of Kasei-Theory. Where readers (readout bandwidths) are fixed and differences are stabilized, return paths close and constraints accumulate. Boundary is fixed as the configuration determined under these conditions and delimits the range within which connections are established, updates occur, and impossibility is fixed. In this framework, impossibility does not signify an external prohibition but an internal configuration fixed when connection paths are structurally closed. Boundary therefore marks the structural limit at which connections, updates, and impossibility are mutually determined. Unlike post-structuralist accounts of deferral or différance associated with Derrida, boundary in Kasei-Theory does not describe displacement but fixes the structural configuration that determines the limits within which applicability and fixation hold. The aim of this paper is not to introduce a new metaphysical principle but to fix the structural limits governing connections, updates, and fixation within the first system of Kasei-Theory.

This work fixes a structural account of impossibility that departs from standard modal, epistemic, and metaphysical treatments. Rather than construing impossibility as negation, external limitation, contradiction, or failure of access, it is defined here as a non-return configuration within ongoing operational systems: a condition in which the formal path back to a prior differentiating state becomes closed while processing continues. The analysis is restricted to what is termed the first phase of structural impossibility. At this level, impossibility remains structurally describable, yet irreducible to causal explanation, epistemic deficit, exceptional case, or transcendence. The study fixes three simultaneous conditions under which such configurations stabilize: the presupposition of division, the internal circulation of updates, and the formal closure of return-path structures. When these conditions coincide, impossibility is fixed not as an event, contradiction, or modal boundary, but as a configuration internal to the system. By distinguishing structural impossibility from the unknown, from exception, and from transcendence, this work reframes modality in configurational rather than propositional or possible-world terms. The present volume confines itself to what remains structurally articulable within this first phase. Structural impossibility is not a boundary of the possible; it is the internal configuration in which the possible no longer returns to itself.

Kasei-Theory III examines the structural conditions under which civilization becomes legible. This work does not treat reading as interpretation, understanding, or meaning-making. Instead, it analyzes reading as a pre-semantic configuration that precedes institutions, purposes, and evaluative frameworks. The book distinguishes establishment from generation, branching from splitting, and misuse from error, arguing that civilization does not constitute reading but merely reprocesses configurations that are already established. Legibility is thus not meaning or information, but the repeatability of structural cuts within a processing regime. When such processing reaches its limit, the unprocessable (Fuka) is delimited—not as negation or absence, but as a residue that resists recovery and reintegration. This volume deliberately closes at the point where explanation can no longer proceed. It offers neither solutions nor interpretations, but fixes the position at which analysis must stop. Kasei-Theory III constitutes the reading volume of the Kasei-Theory series and prepares a rupture toward the subsequent splitting volume without continuity or inheritance.

This short paper argues that what is currently discussed under the heading of modality—in logic, semantics, and AI—is structurally misidentified. The paper does not propose a new modal system, nor a revision of necessity and possibility. Instead, it shows that the phenomena often treated as modal (weak necessity, gradability, indeterminacy, counterfactual flexibility) are fixed within a prior structural operation: the selective reading of updates within a bounded band of readability. Modality presupposes a stable space of alternatives. The structure examined here precedes that presupposition. What appears as modality is shown to be a secondary effect of update fixation, boundary formation, and the exclusion of unread remainder. By isolating this pre-modal layer, the paper blocks a widespread category error in contemporary modal semantics and modal AI research. The aim is not to extend modality, but to delimit it—by demonstrating where modality does not apply.

This manuscript is the second volume of Kasei Theory, currently under development. While the first volume established a pre-continuous world through latent/dec/col phase differentiation and Ka-density thresholds, the present volume examines how a “life problem” arises only after a displacement of成立 (genesis) from the world side to the post-positional side. “Life” is not defined here. Instead, we analyze why the demand for definition and naming emerges at all. Biotic vocabularies such as metabolism, information, adaptation, purpose, and survival are treated not as primitive descriptors but as late translations imposed after world-structures become readable. Volume II focuses on three pre-biotic constraints: retentive drift (偏留), delay (遅延), and history-constraint (履歴拘束). These constraints do not belong to life but to the world; they generate neither purpose nor information nor memory. They neither close nor optimize, and they do not require interpretation. Life arises only by reading and closing these open constraints, transforming them into biological vocabularies. The aim of the volume is not to define life but to relocate the life-problem from ontology to post-positional surfacing: the point at which “成立 cannot remain as 成立.” This volume is a working manuscript; further chapters will extend the analysis and connect to the physics volume, where reading, synchronization, and measurement are treated as late phenomena.