Research · Track B — The ECH Note
What does minimal Einstein–Cartan–Holst spin-torsion gravity do for the bounce, and what can it not do for dark energy?
Lead result
The derived axial spin-spin contact term is identified with Popławski's torsion-bounce repulsion mechanism — the positive result. The same algebraic elimination that produces it closes four candidate dark-energy routes — the negative result, stated in the same Note rather than hedged around.
derivedChannels & tests
| Channel | Prediction | Current data | Evidence | Receipt |
|---|---|---|---|---|
| Torsion-bounce repulsion mechanism | Minimal ECH's axial spin-spin contact term matches Popławski's bounce mechanism. | Derived and identified; consistent with the mechanism as stated. | derived | paper-1n source |
| Minimal-ECH dark-energy routes (4 candidates) | A viable dark-energy mechanism survives the same elimination. | All four candidate routes close under the algebra — none survives. | null | paper-1n source |
| Chiral gravitational waves (LISA band) | A parity-odd O(h²) operator from minimal ECH + Dirac/Weyssenhoff matter. | No such operator exists in this setup; Δ_h is structurally k-odd, ≤6e−13 at LISA — ledger #7 closed negative. | null | chiral_gw_gate |
What is still open
First INT/EXT review board on the merged NoteP1N has not yet been through any review board; P1A + P1C review churn stopped after R13 as separate manuscripts.
Houston's final sign-off readReadiness 95 (v1N.0.5) pending Houston's personal review quote in SSOT/paper-1n/status.md.
Boundary
This is a closed theory line, not a dark-energy model or a cosmological detection. It states plainly what minimal ECH torsion can and cannot explain, and does not extend the contact-term result beyond the stated minimal assumptions.