The Three Scales of ε

The tension field is not a galactic phenomenon. It is an axiom-level phenomenon you read at three scales. The tension field — the ε, the leakage, the break — is the same structure at every scale; it produces different observable effects depending on the record density.

5.1 — Event horizon: maximal tension

At the event horizon, the fold approaches total. 0 is almost winning. The tension is at its most extreme. The field lines are maximally compressed. The leakage from this maximal tension is Hawking radiation (AP08, AP06): the electron at the boundary of 0. You have seen this in AP06: Tₕ = ℏc³/(8πk_BGM), where k_B is Boltzmann’s constant. The field lines do not terminate at the horizon. They pass through. The pipe goes dark but does not end. The tension persists on both sides.

5.2 — Galactic outskirts: minimal tension

At the galactic outskirts, the record density is thin. The Newtonian acceleration drops below a₀. The tension field’s own contribution dominates. The leakage from this minimal tension is the residual acceleration — the room showing through. The field lines are wide, sparse, gentle. But they curve back. They always curve back. The rotation curve flattens — not because mass is present, but because the topology is present. The lines must close. The closure provides the residual acceleration.

5.3 — The Big Bang: the tension creating everything (extrapolation)

The following is extrapolation beyond the domain where AP17 has been tested. It is included as a structural conjecture, not a derived result.

At the Big Bang (or the loop point of the previous cycle), the 1:1 breaks. ε emerges. The tension between 0 and 1 creates the manifold, creates time, creates everything. The tension is the break happening — the wave function collapsing from possibility to actuality for the first time. Same ε. Same tension. Same leakage. Three scales. One structure. Event horizon: ε at maximal curvature. Galaxy outskirts: ε at minimal curvature. Big Bang: ε at the origin. The field lines never break at any scale. The connection between 0 and 1 is topological. It cannot be severed. The route may be longer. The destination is the same.