Field Logic: A Primer

Field logic begins from a strict claim: systems are not made of things first and relations second. What appears as a thing is already a relational achievement. Identity, meaning, and function arise through difference, dependency, delay, recurrence, and constraint. A system is not a pile of parts. It is a field of relations that invokes, sustains, and stabilises the parts by and through which it becomes intelligible.

A field is the structured whole within which distinctions can appear and persist. It is not background. It constrains what can be, how elements behave, and whether coherence holds. Remove an element from its field and you do not simply relocate it. You change what it is.

The orbit frame provides a minimal form of this logic. It begins with two mutually constituting terms: the frame and the anti-frame. The frame is the local orientation from which a system organises itself. The anti-frame is what the frame cannot contain but requires in order to exist. Each defines the other. Neither is prior.

Logical orbit is the structural consequence of unresolved non-identity between mutually constituting terms. Frame and anti-frame cannot merge without erasing the difference that sustains them. They cannot separate without erasing the relation that makes them intelligible. The system persists because this non-identity is maintained.

The orbit is not motion around a centre. It is recursive displacement under constraint. Each term returns through the other without becoming the other. Each pass reconfigures the relation while preserving its incompleteness. Coherence is sustained because difference is neither resolved nor allowed to disperse.

The third term is the binding absence. The unity of frame and anti-frame is not an additional object. It is the structured gap each presents to the other. This absence is active. It constrains closure, sustains tension, and gives the orbit its form. The system holds because it cannot complete itself.

The structure is Borromean. Frame, anti-frame, and binding absence form a three-term relation in which none is foundational. Remove any one and the system loses coherence. Rotate the structure and any term can become the local point of orientation. The pattern holds because the dependency is distributed.

Field logic can now be stated directly. Systems cohere by maintaining unresolved difference in a bounded, recurring form. Identity is recurrence under constraint. Meaning is relational, not contained. Absence can function as structure when it organises what can happen. A system persists by returning through what it cannot become.