Papers and essays in relationality by emsenn.
Introduction
- Introducing Relational Dynamics — what relational dynamics is, why it matters, and how to think about it
- Proposing a Relational Existence — the originating text: existence as reflexive differentiation, building logic, structure, arithmetic, geometry, and physics from a single act
The derivation
- The Derivation — the canonical text presenting the 18-step forced derivation of relational structure from the impossibility of nothing
Formal mathematics
- Formal Structures of the Derivation — how the derivation produces closure operators, Heyting algebras, residuation, and nested relational universes
- The Forcing Argument — proof sketches for each of the 18 steps: definitions, theorems, and why each step is forced
- The Modal Structure — the adjoint quadruple, its models, comonadic dynamics, and the self-containment theorem
- Correspondence Theorems — proofs that the derived structures match established mathematics
Applications
- Reflexive Calibration Theory — measurement consistency as residuated sufficiency within the reflexive field