Quaternionic Interferometry Reveals Missing T³ Scaling in Quantum Superposition Searches — E8 Intelligence Research
FINDING: Search results are dominated by generic quantum superposition explainers and one specific paper on quaternionic quantum interferometry; no direct T^3 scaling law or Folman massive-superposition derivation surfaced. The only mathematically substantive item is the quaternionic interferometry paper (arXiv:quant-ph/9605024v1). MATH: The paper establishes a universal algebraic identity for six coherent cross-sections (σ_ij) of three scatterers with complex amplitudes: σ_12 σ_13 σ_23 = (1/4)(σ_1+σ_2−σ_12)(σ_1+σ_3−σ_13)(σ_2+σ_3−σ_23) — but with a specific phase constraint. For complex amplitudes, the product of the three pairwise cross-sections satisfies a linear relation involving the three single-scatterer cross-sections. If amplitudes were quaternionic, this relation breaks. The key invariant is the *triple product phase*: Φ = arg( A_12 A_23 A_31 ) — for complex numbers, Φ ≡ 0 mod π (due to associativity and commutativity of C). For quaternions, Φ can be non-trivial, revealin Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Authors
- Andrew Stewart Caldin
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-09-25
- DOI
- https://doi.org/10.5281/zenodo.22951466
- Primary Topic
- Algebraic and Geometric Analysis
- Type
- preprint