Kasei-Theory develops a transcendental framework for describing the pre-structural dynamics from which number, space, time, and meaning become possible. It identifies three primordial phases—Fuka (non-generation), Ka (potential substrate), and Danzetsu (structural rupture)—that collectively constitute the minimal ontological strata prior to any mathematical, physical, or semantic determination. Within this system, Ka denotes the pre-geometric field of potentialization, while Ka-trace refers to t…
Read moreKasei-Theory develops a transcendental framework for describing the pre-structural dynamics from which number, space, time, and meaning become possible. It identifies three primordial phases—Fuka (non-generation), Ka (potential substrate), and Danzetsu (structural rupture)—that collectively constitute the minimal ontological strata prior to any mathematical, physical, or semantic determination. Within this system, Ka denotes the pre-geometric field of potentialization, while Ka-trace refers to the stabilized, readable configurations that emerge only within restricted regions of structural coherence.
A central contribution of the theory is the replacement of the classical real/imaginary decomposition with a dual pre-structural architecture: Ka-density and Ka-phase. Rather than treating complex numbers as numerical dualities, Kasei-Theory interprets them as the two operational modes through which Ka stabilizes or rotates: difference-update (real-time stabilization) and phase-update (imaginary-time rotation). The imaginary unit i is thereby redefined not as an “unreal number,” but as the minimal directional marker for reading Ka-phase—an invariant of pre-structural orientation rather than an algebraic artifact.
Building on this shift, the theory introduces the latent → dec → col hierarchy of density states, which governs the activation, stabilization, and collapse of all structures.
latent-density: pre-formal potential without readable difference
Kasei-Theory proposes a foundational revision of how mathematical, physical, and semantic structures arise.
It identifies three pre-structural phases—Fuka (non-generation), Ka (potential substrate), and Danzetsu (rupture)—from which number, space, time, and meaning first become possible. These phases form the ontological strata beneath any existing formal system.
The theory’s core breakthrough is the replacement of the real/imaginary decomposition with the dual architecture of Ka-density and Ka-phase. In this reformulation, complex numbers cease to represent two numerical types; they encode the two fundamental operational modes—difference-update and phase-update—through which structure stabilizes or collapses. The imaginary unit i is reinterpreted as the minimal directional operator of phase-reading, not a number.
From this shift follows a three-tiered hierarchy—latent, dec, col—describing how structure activates, stabilizes, and fails.
This single mechanism unifies phenomena previously treated as unrelated:
continuity, singularities, imaginary time, confinement, mass gaps, phase inversion, and non-perturbative breakdowns.
Each arises where dec-density loses stability and Ka-phase or col-density becomes exposed.
The theory introduces the Ka-map, a pre-geometric distribution of density and phase from which continuity, metric structure, and temporal flow emerge. From this view, real numbers, spatial manifolds, and physical laws are not fundamental; they are localized readout regimes of dec-density. When this regime fails, imaginary time, collapse dynamics, and non-classical phases appear naturally.
As the constructive counterpart to Anti-Semantics, Kasei-Theory provides the generative half of a unified framework for genesis and breakdown across mathematics, physics, and meaning. Together they show that continuity, law, and sense are not primitives but thin, contingent stabilizations between latent and collapsed strata.
Key Contributions (2025 Update)
Establishes a transcendental ontology of Fuka / Ka / Danzetsu as pre-structural phases.
Replaces the real/imaginary distinction with Ka-density / Ka-phase as fundamental operative modes.
Reinterprets i as a directional marker of phase-reading, not a numerical entity.
Introduces the latent–dec–col hierarchy, providing a unified mechanism for continuity, collapse, and singular behavior.
Reconstructs number, space, time, and physical law as localized readout regimes of dec-density.
Defines the Ka-map as the global substrate from which geometry and temporality emerge.
Provides a common generative model for mathematical continuity, physical law, quantum breakdown, and semantic genesis.
Version Note (2025):
This manuscript is part of an actively developing theoretical framework. Terminology and structural formulations are periodically refined as the theory advances.