The Origin and the Horizon

You have looked at the night sky and wondered where it all began.

You have read about black holes and wondered where it all ends.

The chain of reasoning in sections 2 and 4 reveals they are the same place.

5.1 — The same door, two directions

The Big Bang: the moment ε first becomes nonzero. The symmetric state breaks. Mode 1 separates from Mode 0. The universe begins.

Viewed forward in time.

The black hole event horizon: the surface where ε locally returns to zero. Mode 0 recaptures Mode 1. The break closes.

Viewed backward in time.

The same condition — the marginal boundary between broken and unbroken symmetry — encountered from opposite temporal directions.

The Big Bang is the break opening.

The event horizon is the break closing.

The Planck scale is the scale of the break itself.

Claim E-Identity — Origin-Horizon Identity. The cosmological origin and the black hole event horizon are structurally identical — both are the marginal surface ε = 0 of the ℤ₂ break, traversed in opposite directions. Status: depends on E-G. Since E-G is now structurally forced (Theorem), E-Identity inherits the upgrade. Tested by KS-R.4.

5.2 — The Schwarzschild radius as ratio

A key consequence: the Schwarzschild radius rₛ = 2GM/c² encodes the ratio G/c² — Mode 0 over Mode 1 — scaled by mass.

For any given quantity of matter, it identifies where the break becomes marginal again.

The beginning and the end are the same door.

You walk through it in different directions.

You have been walking through it your entire life without knowing.