A One‑Line Neutrino Mass Rule from Quantum Traction Theory

Evidence of Absolute Background Clock in our Universe

10.5281/zenodo.17527179

Explained in plain language, with the Absolute Background Clock and the LIA (LAB‑Image Asymmetry) factor

The claim. In Quantum Traction Theory (QTT), the ratio of neutrino mass‑squared splittings is predicted without free parameters:

Equation

ρ² equiv (Δ m²_31)/(Δ m²_21)=4π²cos²((π)/(8))

(QTT source and derivation in the author’s manuscript.) :contentReference[oaicite:0]{index=0}

First, let’s check the math

1. Half‑angle identity:
2. Therefore

Equation

ρ²=4π²·(2+√2)/4=π²(2+√(2)).

Numerically:

• 
• Equation

  

  ρ=2π cos(π/8)≈ 5.804906
• 

What the symbols mean.

• and are the mass‑squared differences between neutrino mass states. Oscillations measure these differences rather than the absolute masses.
• is just the ratio of those two splittings—so it’s a dimensionless number you can compare to experiment.

Plain‑English picture (QTT & the ABC)

QTT posits a universal Absolute Background Clock (ABC) that keeps the fastest “cosmic time,” while our lab clocks tick a little differently. When a microscopic process runs on the ABC dial and we observe it with our lab dial, we don’t see the whole motion—we see its projection.

In this framework, the ABC and lab dials sit a quarter‑turn apart. A quarter‑turn between time dials produces a half‑angle projection in amplitudes, which gives the factor . A closed microscopic cycle contributes a full of phase. Put together, the visible “loop size” is , and squaring it gives exactly the neutrino ratio above. :contentReference[oaicite:1]{index=1}

The LIA equation (LAB‑Image Asymmetry)

To emphasize that we only see a lab‑image of the ABC dynamics, define the LIA factor as the normalized square‑root of the mass‑ratio:

Equation

LIA equiv √(Δ m²_31/Δ m²_21)/(2π) = cos((π)/(8)) ≈ 0.9238795.

In words: the LAB‑Image Asymmetry is just the cosine of an eighth of a turn—the “shadow” our lab clock sees of the ABC’s full loop. (If you prefer your original spelling, you can present it as “LAB‑Image Assymetry (LIA)”.)

Why this matters

• No knobs: QTT’s prediction for uses only geometry of the two clocks—no tunable parameters. :contentReference[oaicite:2]{index=2}
• Testable summary: If experiments nail down the ratio , you can check it directly against .

Take‑home in one line. The neutrino mass‑splitting ratio is predicted to be , which is the square of a single “projection” number coming from the ABC↦lab view. :contentReference[oaicite:3]{index=3} Notes & scope

• This LIA presentation is QTT‑specific. Standard neutrino physics reports measured values of the mass‑squared splittings; QTT proposes the compact relation above as an explanatory pattern.
• “Absolute Background Clock” and “Quantum Traction Theory” are used here exactly as named in the QTT manuscript. :contentReference[oaicite:4]{index=4}