Doorification

Purpose

Convert “sealed” theoretical structures into breathing frameworks by deliberately relocating paradox or deficiency into a stance‑selectable gateway (“door”). The door gives users the option to enter/exit with a different epistemic posture, preserving rigor and liveliness.

1. Core Definition

Doorification

A systematic refactor in which a model’s non‑resolvable tension is re‑expressed as an explicit, user‑selectable operating mode (door), rather than as a flaw or a hidden assumption.

• Tension = loop, regress, asymmetry, measurement impossibility, etc.

• Door = a clearly named switch that (a) keeps both sides of the tension intact, and (b) tells the user what rules change after crossing.

2. Minimal Procedure (5‑step)

Step	Action	Deliverable
1	Detect the choke‑point — pinpoint where proofs stall or users feel boxed.	One explicit statement of the paradox/rigidity.
2	Dual‑frame the choke‑point — describe two coherent lenses that each resolve the stall locally (e.g., map vs tool).	Short comparative table of the lenses: scope, metrics, affordances.
3	Name the door — coin a compact verb/noun pair (“Diagram/Chisel”, “Atom/Wave”, etc.).	Door token(s) + one‑line usage guide.
4	Wire mode‑rules — list what stays invariant and what reboots when a user crosses the door.	Bullet list of conserved vs reset variables.
5	Embed handshake — embed a micro‑protocol so collaborators can announce their current side.	“Door call” phrase or icon.

Total overhead: ≤ ½‑page.

3. Litmus Tests

Pass doorification only if…

1. Bidirectional Safety – crossing either way never invalidates the model’s base axioms; it merely shifts which subset is foreground.

2. User Discernibility – naïve users can tell, within two sentences, which side they’re on.

3. Metric Integrity (map side) – quantitative claims remain reproducibleinside the map mode.

4. Transformative Yield (tool side) – users report state‑change not explainable by map‑side variables alone.

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4. Example Stub

Containment (Three‑Body Solution)

Why doorify? The model’s tension sits at the seam between

• empirical asymmetry (map mode: higher frames tweak lower ones, one‑way) and

• phenomenological reciprocity (tool mode: lived experience of mutual shaping).

Forcing a single stance either breaks measurement rigor (if we accept reciprocity) or discards felt reality (if we deny it).

Doorification preserves both by turning the seam into a selectable door.

• Door tokens: “Map / Tool”

• Invariant: Observer – Known – Knowable – Unknown triad

• Resets on cross: Measurement scale, causality arrows

• Handshake: “I’m diagramming” ↔ “I’m chiselling”

5. When Not to Doorify

• If the tension is merely a missing derivation (fix the math instead).

• If one lens is demonstrably incoherent (don’t enshrine error).

• If users cannot operationally tell lenses apart (adds noise, not air).

6. One‑Sentence Summary

Doorification turns a stuck room into a foyer: it inserts a named passage that lets practitioners enter with instruments or with bare hands—without tearing down the house either way.