What EH Failing Would Mean

If EH fails, reality has some other structure that merely produces identical results to {S, B, R, C} for every observable.

Ask yourself: what is this other structure?

Reality did have another structure. Before the break, there was the 1:1. Perfect symmetry. The empty set before the symmetry break. No records. No observations. No distinction. No direction. No time.

But the 1:1 is not an alternative to the axioms. The 1:1 is what the axioms describe the breaking of.

The axiom is 1:1 + 1×ε @ AS — the symmetric substrate, the persistent break, at the actualizing now. The pre-state (1:1) and its break (ε), held at AS. The axioms {S, B, R, C} are the conditions of the breaking. S is the two-sector structure of the pre-state. B is the break itself. R is the record of the break. C is the constraint that locates the record — somewhere, not everywhere.

The pre-state is the subject of the axioms, not a competitor to them.

There is no third option.

Either reality is the unbroken 1:1 — no records, no observations, empirically empty — or reality contains records, which requires {S, B, R, C}, which is EH.

You are about to see that this binary is not asserted. It is proven.

And the proof begins with the simplest premise you will ever encounter.