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The science.

One mathematical object — the merkabit, a ternary unit on the Eisenstein lattice with the symmetry of PSL(2,7) — followed into number theory and onto quantum hardware. The work below is technical, defensible, and reproducible. Every claim carries the condition that would refute it.

168
PSL(2,7)

The projective special linear group of order 168 — the symmetry of the Fano plane and the Klein quartic, and of the merkabit.

The four pillars

What's been done, in plain terms.

Pillar 1 · The object

One unit on the Eisenstein lattice

The merkabit is a balanced-ternary unit on Z[ω] — the dual-tetrahedron projection of a closed coherent cycle. Its structure is fixed by the lattice and by PSL(2,7); the papers work out what that structure forces, from the bounded spectrum of its operator to the L-functions that share its group.

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Pillar 2 · Unifying Invariant

PSL(2,7) — order 168

The projective special linear group of order 168 — the symmetry group of the Fano plane — is the single invariant unifying α, the Riemann zeros, the Klein quartic, the Yang–Mills mass gap, and matter-antimatter asymmetry.

Explore the five faces →
Pillar 3 · Hardware

5 / 5 on IBM Eagle r3

Five pre-registered predictions, all confirmed on real superconducting quantum hardware: the P-gate as native, the Z₂ symmetry, two-scale anti-bunching, the Berry phase quasi-period, and the Fano gap. Cross-architecture validation in progress (Google Willow Phase 2).

See the hardware results →
Pillar 4 · Falsifiability

Every claim has a named test

Every prediction the framework makes is attached to a public, named threshold that would refute it if missed. The list is open — anyone can read it, and anyone can attempt to refute it.

See the tracker →
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