Legacy field note reviewed · 2025-11-09 · upgraded 2026-06-03

Quantum Traction Theory addresses the Short-Baseline Neutrino Anomalies (LSND & MiniBooNE)

QTT

Reader map · Neutrino and chirality

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Route neutrino posts through source rank, chirality, PMNS, and the particle map. Book pages and DOI records stay in the separate citation card.

LexiconNeutrino ratioCurrent source ratio and mass-squared language.Two UniversesQuantized existenceWhere closure and bundled readout are defined.Derivation AtlasMARIAM neutrino rankThe family-rank route in the atlas.ObservatoryNeutrino ratioThe measured ratio and status ledger.

Book and DOI anchor

Current category: Particle physics and neutrinos

Book pages: p. 221, p. 521, p. 1113, p. 1254, p. 1255

DOI anchors:
10.5281/zenodo.19960813
10.5281/zenodo.20051961
10.5281/zenodo.20042421

Read the 1262-page book · Book DOI · DOI map

Reviewed status: This older post is preserved as a field note and now points to the current book/corpus record. The public-facing equations and media below are kept inside a mobile-safe reading frame; current technical citation should follow the DOI anchors above.

Core prediction (one boxed formula)

Equation

P_μ→ e

= sin^2big(2Θ_μ e^effbig)

sin^2[

(Δ m^2 L)/(4E)

+(1)/(2E_*)int_srcS(x) dx

]

$E_*=\hbar c/\tilde{\ell}$ is the capacity (Planck) energy. S(x) is the local vacuum-stiffness in the source region.

Step-by-step quantitative explanation

Standard phase (too small at SBL):

Equation

$\displaystyle (\Delta m^{2} L)/(4E) \approx ((2.5 \times 10^{-3})(30))/(4 \times 30 \times 10^{-3}) \simeq 6 \times 10^{-4} rad$

(Δ m² L)/(4E)≈ ((2.5×10⁻³)(30))/(4×30×10⁻³) ≃ 6×10⁻⁴ rad

QTT stiffness integral adds an O(1) radian:
S(x)sim10¹⁶-17 eV m⁻¹, E_*≃1.22×10²⁸ eV, L_src≃ 10 m
(1)/(2E_*)int_src S(x) dx≈ (10¹⁷×10)/(2×10²⁸) ≃ 5×10⁻¹¹ rad/eV
For $E=30 MeV$ → phase sim 1.5 rad (LSND scale). Effective mass-squared at SBL:

Equation

$\displaystyle \Delta m_{eff}^{2} = \Delta m^{2} + (2E)/(L E_*)\int S(x) dx \simeq 1 eV^{2}$

Δ m_eff² = Δ m² + (2E)/(L E_*)int S(x) dx ≃ 1 eV²

Experiment vs QTT

Predictions and near-term tests

Environmental modulation: Change magnetic/electric shielding near source → amplitude shift ≤ 10%.
Energy scaling: Low-E amplitude $\propto 1/E$ (test at JSNS² / SBN).
No sterile neutrinos: Cosmological $N_{eff}$ unchanged.
No β-decay endpoint distortion: KATRIN / Project-8 should see null mass signal.
Phase coherence: Single-frequency oscillogram across fine energy bins (SBN).

Quantitative consistency

Equation

$\displaystyle \begin{aligned} Observed:& \Delta m^{2}_{rm} obs \approx 1~eV^{2}, P_\mu \to e^{obssim} 0.002-0.005, QTT:& \Delta m_{eff}^{2}=1.0^{+0}.3_-0.2~eV^{2}, P_\mu \to e^{QTT}=0.003\pm0.001. \end{aligned}$

Observed:& Δ m²_rm obs≈ 1~eV², P_μ→ e^obssim 0.002-0.005, QTT:& Δ m_eff²=1.0⁺⁰.3_-0.2~eV², P_μ→ e^QTT=0.003±0.001.

Model comparison

Model

3+1 Sterile

Parameters

≥ 6

New particle?

Yes

Cosmology OK?

Fit LSND+MiniBooNE?

Inconsistent

Model

Non-standard interactions

Parameters

Many

New particle?

Cosmology OK?

Unclear

Fit LSND+MiniBooNE?

Partial

Model

QTT stiffness integral

Parameters

New particle?

Cosmology OK?

Yes

Fit LSND+MiniBooNE?

Full match

Evaluation summary

\displaystyle \Delta m^{2}_{rm} eff \simeq 1

One-line takeaway

QTT explains the SBL anomalies quantitatively and parameter-free: a Planck-suppressed vacuum-stiffness integral adds an O(1) rad phase in the source region, reproducing LSND & MiniBooNE without sterile neutrinos.

Equation

Scientific quality: A+ (fu≪ quantitative match, falsifiable, parameter-free)quadParadigm impact: ⭐⭐⭐

Book pages

Where this field note sits in the QTT Main Book (v10.01)

Use these page anchors to read the surrounding derivation in the current book version. The stable book DOI is 10.5281/zenodo.17527179.

pp. 61-66
Neutrino mass-ratio anchor
the rho = 2pi cos(pi/8) ruler route
p. 973
Delta m squared ratio
the compact ratio Delta m^2_31 / Delta m^2_21 = rho^2
pp. 504-521
Single-chirality weak door
why the visible low-energy weak rail is left-handed
p. 1111
Weak chirality-LIA bridge
the neutrino chirality witness in the book index

For DOI/version reconstruction, use the QTT DOI Map.

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QTT

Scope correction · 31 July 2026

The ratio identity is conditional; its finite source construction remains open.

Once the nonzero source vector (0, 1, ρ) is supplied, Δm²₃₁ / Δm²₂₁ = ρ² follows exactly. The audit closes a necessary correction: common completed-bundle and A1 factors cancel, so they cannot by themselves supply a relative ρ.

A finite asymmetric branch pair and a finite certificate for the five-fold neutral completion remain amber gates. The frozen JUNO target remains a separate observational test of the conditional line.

Read the A1 neutral-branch audit · 10.5281/zenodo.21721466

Related papers and books

Citable sources for this field note

QTT

Concept DOI is the citation target. The latest version under the concept family speaks. The full live index is the QTT DOI Map.

Book
Artian Geometry & Quantum Traction Theory
Main book record and ontology map; the stable citation anchor for the whole corpus.
Concept DOI: 10.5281/zenodo.17527179

Paper
A parameter-free derivation of the neutrino mass-squared ratio Δm²₃₁/Δm²₂₁ = 4π² cos²(π/8) in Quantum Traction Theory
Citable QTT source used by this field note.
Concept DOI: 10.5281/zenodo.19960813

Paper
Capacity Selection of Left-Handed Weak Interactions: A QTT Derivation of Neutrino Chirality, V−A Parity Violation, and the Mass-Space Interface
Citable QTT source used by this field note.
Concept DOI: 10.5281/zenodo.20051961

Paper
Triple Number-Locks in Quantum Traction Theory
The number-lock paper linking the neutrino ratio, baryon invariant, and Hubble branch ratio in one QTT closure.
Concept DOI: 10.5281/zenodo.20042421