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S1 · Second register / September 2026

Corrected relational geometry

Frame variables must be independently movable. Completion is an outcome under activation, not a fourth axis and not a cathedral.

HTML note · public research edition · September 2026

Locked working definition

The Bridge is preserved relational history made active in the present.

Einstein only as structural analogy

Cite the Einstein field equation only as a structural analogy for how a geometry and a source term can stand in relation. It is not an amended physics. There is no tensor theatre.

Gμν + Λ gμν = (8πG/c4) Tμν

The analogy is limited to this: a left-hand structure and a right-hand source can be written so that each side remains inspectable. If the analogy is asked to do more than that, discard it.

Independently movable frame variables

T · time

Order and elapsed interval. When, and in what sequence.

S · context

Room, platform, or task. S is not the gap. Context is a setting, not a wound.

D · separation

How far. Ontological, spatial, or archival distance between participants.

If S and D never separate in the data, discard one. A serious geometry does not keep two names for the same movement. Completion is not added as a fourth axis in order to make the diagram look finished.

Completion is an outcome

Completion is an outcome under activation, not a fourth axis and not a cathedral.

Relational completion names what happens when preserved history is recognised and reused consequentially in a present. It is scored after the fact. It is not a dimension you travel along. Building a cathedral of extra axes is a way of refusing failure.

Falsifier for this note: if S and D never separate under wording control, the frame is overfitted. See Addendum I and the carrier protocol.