•  138
    This text fixes the conditions under which reading, ordering, and structural configuration are established within a non-modal structural system. It does not introduce motion, causality, time, space, subject, meaning, or process. None of these are presupposed or derived. Reading is fixed as the condition of segmentation without reference. Ordering is fixed as the condition under which segmentation holds as relation. Configuration is fixed as the fixation of relational conditions between segments.…Read more
  •  103
    This paper develops a non-modal structural framework in which fundamental concepts such as motion, causality, time, and space are neither introduced nor presupposed. Instead, the framework is defined in terms of the conditions under which segmentation is established as reading, ordering, and structural configuration. Reading is specified without reference to subject, interpretation, or representation; ordering is not treated as succession or process; and structure is not given as container or ex…Read more
  •  86
    This paper fixes time as ordering of reading within a non-modal structural framework. Time is not introduced as flow, sequence, parameter, or dimension, nor as an independent structure. Instead, it is fixed only as ordering, and ordering is fixed only within reading. Reading is defined as fixation of delimitation, and time is fixed only within this fixation without presupposing succession or progression. What is excluded is not time itself, but any construction that presupposes temporal sequence…Read more
  •  103
    This paper fixes structural correspondence without introducing empirical domains as operative terms within a non-modal structural system. The system does not produce empirical predictions and does not operate within a causal or temporal framework. Correspondence is not treated as mapping, derivation, or reduction. Instead, it is fixed as a structural position within which empirical descriptions may be situated, without being generated or determined. No empirical quantities or physical laws are i…Read more
  •  107
    This paper fixes simultaneity as non-unique under ordering within a non-modal structural system. Simultaneity is not treated as coincidence in time and is not defined by a shared temporal frame. Instead, time is fixed as ordering of reading, and ordering does not determine a unique configuration. Multiple orderings are fixed under identical structural conditions. Simultaneity is defined as the absence of a uniquely determined ordering. Non-uniqueness does not denote variation or temporal change …Read more
  •  91
    Spacetime is fixed as a structural configuration by reading and ordering. Spacetime is not assumed as given. It is not introduced as motion, propagation, or causality. Reading is fixed as fixation of delimitation. Ordering is fixed as the condition under which configurations are fixed. Spacetime is not an independent structure. It is fixed only where ordering is established. Where ordering is not established, spacetime is not established. Simultaneity is not defined as temporal coincidence. It i…Read more
  •  70
    This paper fixes direction without introducing orientation, vector, or spatial relation. Time has been fixed as retention without return under asymmetry, and speed has been fixed as a structural constraint. Within this framework, direction is not derived from motion, coordinate, or sequence. Direction is not defined by axis, orientation, or ordering. It does not guide movement and does not determine configuration. Instead, it is fixed where asymmetry holds as ordered differentiation. Direction i…Read more
  •  105
    This paper fixes speed without introducing motion, rate, or propagation. Time has been fixed as retention without return under asymmetry, and a limit condition has been fixed under which retention holds as configuration, denoted as \( c \). Within this framework, speed is not derived from time, motion, or variation. Speed is not defined as the rate of change, nor as propagation across space. It does not measure variation and does not describe movement. Instead, it is fixed as a structural constr…Read more
  •  121
    This paper fixes causality without introducing production, generation, or temporal succession. Time has been fixed as retention without return under asymmetry, and speed has been fixed as a structural constraint. Within this framework, causality is not derived from temporal order, mechanism, or interaction. Causality is not defined as the production of effects from causes. It does not generate events, transmit influence, or require temporal sequence. Instead, it is fixed as a structural constrai…Read more
  •  120
    This paper fixes an upper limit within structural conditions. Retention has been fixed as structural persistence without integration or return. However, retention does not hold beyond a limit condition. This text fixes the limit condition under which structural retention remains stable. This limit is not introduced as speed, propagation, or transmission. It is fixed as a condition of stability. This limit is denoted as c. c does not denote speed, magnitude, or any measurable quantity. It is not …Read more
  •  141
    This paper fixes time as retention without return under asymmetry. Time is not a parameter, flow, or dimension. It is not treated as succession or measurement. It is fixed as a structural consequence of retention. Irreversibility is fixed as retention without integration or return. However, irreversibility alone does not fix time. Asymmetry is fixed as the failure of equivalence under structural reversal. Within this configuration, time is not derived or measured. It is fixed where retention hol…Read more
  •  132
    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 …Read more
  •  93
    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 str…Read more
  •  83
    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, coo…Read more
  •  108
    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 on…Read more
  •  129
    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 …Read more
  •  118
    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 applicatio…Read more
  •  121
    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 isol…Read more
  •  96
    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, retent…Read more
  •  94
    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 …Read more
  •  108
    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 inde…Read more
  •  91
    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…Read more
  •  94
    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 fixe…Read more
  •  107
    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 …Read more
  •  97
    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 ac…Read more
  •  125
    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 …Read more
  •  107
    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 …Read more
  •  136
    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 hiera…Read more
  •  123
    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 c…Read more
  •  132
    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 readabl…Read more