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SupportingRegistration Geometry
Closure-Induced Complex Structure in Registration Theory: From Conjugate Involution to Compact Phase Action and Algebraic Registration Classes
Derives an exact closure-induced complex structure: two anticommuting involutions on a common closed registration sector generate J_cl^2 = -I and therefore a compact 2pi-periodic phase action.
Scope
Exact algebraic theorem on a common two-component closed registration sector. Physical selection of that sector and the physical phase-succession bridge remain open. Integer winding is not identified with a physical quantum number.
Relation to other papers
- Builds on Canonical Foundations of Registration Theory
- Builds on Invariant Registration Closure
- Builds on Persistent Individuation and Mathematical Representation
- Builds on Bilateral Participatory Registration in ACRF-4
- Extended by Compact Closure and Noncompact Conjugate Escape
- Extended by Canonical Local Complex Structure in ACRF-4
Relevant research claims
- Exact Model ResultClosure-Induced Complex Structure Theorem
- Exact Model ResultClosure-Induced Compact Phase Action
Keywords
- Registration Theory
- closure-induced complex structure
- conjugate involution
- anticommuting involutions
- compact phase action
- algebraic winding classes
- persistent registration
- registration closure