General Quantum Occupancy Theory (GQOT) - Vol V - Neutrino Mixing from Unanchored Planes in Grown Space: the Frame Group, Tri-Bimaximal Selection and the Tilted Plane
Year: 2026
Type: preprint
Abstract: This publication works in tandem with an earlier paper: Sideris, D. (2026). General Quantum Occupancy Theory (GQOT) Part III: Metrounitary Hybrids, the PMNS Tensor, and the Geometric Origin of CP Violation. Zenodo. https://doi.org/10.5281/zenodo.20322832 It adds another angle of approach, a rigorous motiv algebra simulation (Oregano 1). SUMMARY General Quantum Occupancy Theory (GQOT) starts from one postulate: a system cannot completely represent itself. An observer registers the latent system only through informational stenosis, and space is grown from a single origin by stitching agreeing records. In the consensus engine that grows it (Oregano 1), every link of three-dimensional space carries a twist. The frames of its clocks then form the 24 rotations of the cube, the group S4, and grown regions use all of them. This is a measured property of grown space, not a choice made for flavour. The paper takes the neutrino as GQOT Part III describes it: a two-dimensional plane with no electromagnetic anchor. Results Records select the pattern. Inside grown space a plane can carry three kinds of record about its two in-plane exits. Only the unanchored plane, whose exits are indistinguishable, gives a mixing pattern compatible with data: tri-bimaximal mixing (sin²θ₁₂ = 1/3, sin²θ₂₃ = 1/2), for every value of its couplings. The tilted plane. A tilt out of the metric that keeps the plane’s exits indistinguishable is fixed to one axis. With sin² of the tilt equal to 1/15, it gives one consistent set: sin²θ₁₃ = 1/45, sin²θ₁₂ = 7/22 = 0.318, sin²θ₂₃ = 1/2 and |δ_CP| = π/2. Against data. The reactor and solar angles agree with NuFIT 6.0 and the first JUNO data within about one standard deviation. Maximal θ₂₃ and δ_CP = −π/2 are in tension of about two standard deviations in normal ordering. JUNO, DUNE and Hyper-Kamiokande will decide. The pattern coincides with S4 flavour models with generalised CP symmetry (TM1 with maximal θ₂₃ and δ_CP = ±π/2). GQOT Part III (doi:10.5281/zenodo.20322832) reached its baseline values independently in May 2026, before this correspondence was known to the author. This paper supplies the rigorous route: a geometric reason for the pattern from the frame group of grown space, and a refinement of the solar angle from 1/3 to 7/22. Part of the GQOT series, building on Distance as Density of Correlation (doi:10.5281/zenodo.24017750) and Observation as Overlap (doi:10.5281/zenodo.22959534). Code: the scripts that reproduce every number and the figure are deposited as a separate restricted-access record, available on request for research use.
Author: Sideris, Dimitrios
Language: English
Topic: Neutrino Physics Research
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225463019