ΔB = 1 or 2
For integer ΔL, the exact symmetry forbids these baryon-violating changes. Ordinary neutron beta decay conserves baryon number and is not forbidden.
Current consequences and tests
What can be checked?
An observable, its inputs, its domain and a possible contradiction. The current paper retains that information with every forecast—and distinguishes it from a fit or an internal consistency result.
Source: the published UTFANSWF Proper paper, “Predictions and observational tests at a glance” and final reconciliation (§§724–727). The figures below visualize its reported values; no new harness run or parameter fit is introduced here.
Prediction / conditional forecastInput-dependent fitInternal or supplied benchmark
NP-01 · Fixed-convention response
How the nucleon responds to light-quark mass.
Hold the gradient-flow reference t₀ and strange RGI mass fixed. Change the renormalization-group-invariant light-quark mass. The retained response surface predicts the following nucleon-mass changes.
| Change in Mud | ΔMN (MeV) |
|---|---|
| -20% | -8.808 ± 2.940 |
| -10% | -4.390 ± 1.456 |
| -5% | -2.192 ± 0.725 |
| +5% | +2.185 ± 0.719 |
| +10% | +4.362 ± 1.429 |
| +20% | +8.697 ± 2.826 |
Local derivative, uncertainty and a meaningful test
The registered packet gives Σud(t₀) = 43.76 ± 14.42 MeV and Kud(t₀) = 0.04650 ± 0.01602. The current reproducer separately computes a 13.14068 MeV block-jackknife spread; it does not reconstruct every component of those two packet error bars.
An independent lattice calculation using the same fixed-scale convention can test the signs and numerical curve. A derivative under a different scale-setting prescription is a different observable. This is not a derivation of quark masses or a convention-independent sigma term.
Later charged-proton completion · Class B
Mp = 940.7131 ± 35.1857 MeV
The current candidate combines the retained isoQCD mass, isovector response and common electromagnetic self-energy at first order in QCD+QED. It is source-based—not a parameter-free mass prediction or a new direct QCD+QED path-integral computation.
NP-02 · Exact residual Z₆ branch
A baryon-number selection rule.
−ΔB + 3ΔL ≡ 0 (mod 6)
ΔB = 3
Odd ΔL is required. The leading retained operator has dimension 15 and coefficient C₁₅ / Λ¹¹.
Test the exact branch.
A confirmed one- or two-unit baryon-violating process within this symmetry’s domain would contradict the branch. An allowed channel alone does not select a lifetime.
Permitted channels and the conditional lifetime law
- ppp → e⁺π⁺π⁺
- ppn → e⁺π⁺
- pnn → e⁺π⁰
- nnn → ν̅π⁰
In the retained approximate oxygen pnn prescription:
τ = 1.93740793453 × 10³³ yr (Λeff / 100 GeV)²²
Λeff = Λ / |C₁₅|1/11
Λeff = Λ / |C₁₅|1/11
The scale, coefficient and nuclear prescription are indispensable. The tested framework does not select a unique trinucleon lifetime. The discrete-symmetry mechanism is established physics reused by the framework, with its source cited in the paper.
NP-03 · PSN-v2 candidate spectrum
Three thresholds. A specific running signature.
1.81611748 TeV
2.56837797 TeV
3.63223496 TeV
With GUT-normalized α₁, αem−1 = (5/3)α₁−1 + α₂−1. The successive one-loop coefficients Bem are 11/3, 19/3, 28/3 and 12, giving slope jumps −0.424413182, −0.477464829 and −0.424413182 in dαem−1/d ln μ.
| Energy μ | αem−1 | α₃−1 |
|---|---|---|
| 250 GeV | 127.529077 | 9.569547 |
| 1 TeV | 126.720080 | 11.113996 |
| 2 TeV | 126.274648 | 11.870871 |
| T₂ | 126.022525 | 12.109725 |
| 3 TeV | 125.791779 | 12.208616 |
| T₃ | 125.507708 | 12.330361 |
| 10 TeV | 123.573523 | 12.813907 |
| 100 TeV | 119.175910 | 13.913310 |
Weak-angle branches and comparison conditions
| Energy | sin² θW range |
|---|---|
| 3 TeV | 0.2479962–0.2492663 |
| 10 TeV | 0.2508973–0.2526828 |
| 100 TeV | 0.2570804–0.2589318 |
The doublet/singlet assignment ambiguity cancels from the two tabulated inverse-coupling combinations at one loop, but not from the weak angle. These envelopes are branch alternatives, not experimental error bars.
A physical test needs the specified spectrum and scheme, higher-order corrections and threshold uncertainties. These input-dependent curves do not derive α(0) ≈ 1/137. The X/Y sector’s twelve structural directions do not fix twelve measured masses.
Dark matter · Candidate search interval
6–60 μeV, with explicit coverage limits.
1.4508–14.5079 GHz
Frequency follows ν = 0.2417989242 GHz × ma/μeV. The rounded 6–60 μeV band is not an independently selected mass.
10–40 μeV
Equivalent to approximately 2.418–9.672 GHz. This narrower proposal does not replace the broader envelope or the root comparison.
Continuous 6–10 μeV coverage
The shipped root comparison spans 10–60 μeV. It does not establish continuous experimental coverage below 10 μeV or an axion detection.
What an experimental comparison must specify
The QCD-axion relation ma ≈ 5.7 μeV × (10¹² GeV / fa) maps the supplied decay-constant interval to unrounded endpoints 5.7–57 μeV. The photon coupling is gaγγ = α(E/N − CQCD)/(2πfa).
A signal forecast also requires the physical axion direction, anomaly ratio, QCD matching, abundance, local density and linewidth. A surviving allowed interval is not a detection. Strong-CP and relic-density statements retain their separate assumptions in the paper.
Gravity · Two distinct response tests
Distances and ringdown, kept separate.
A conditional null echo.
The ingoing horizon has RNZH = 0 and Υ = 0, with luminal, massless tensor propagation. Horizon-generated echo amplitude is zero in this branch.
Ringdown frequencies and damping times depend on supplied remnant mass and spin. A reflective extension requires its own dynamics; a universal nonzero echo or axion–echo amplitude equality is not claimed.
dLGW / dLEM = √[F(0)/F(z)]
Here F = df/dR for f(R) = R − 2Λ + R²/(6ms²). Both distances must use the same evolved background.
These standard-siren scenarios reuse the model’s physical propagation law. They are not a uniquely selected H₀ or four independently derived scalaron masses.
Four low-redshift scenarios reported in the paper
| x | 100(q − 1) | 100(H/HΛCDM − 1) |
|---|---|---|
| 0.001 | −0.00484758 | ＋0.02682101 |
| 0.01 | −0.03812639 | ＋0.05200869 |
| 0.1 | −0.28812417 | ＋0.05534000 |
| 1 | −0.90925951 | ＋0.05568257 |
The reference shares the same H₀ and density coordinates. These are specified scenarios over 0 ≤ z ≤ 0.1, not a confidence band or a higher-redshift extrapolation. Local screening, source generation and detector calibration are required for event-level comparison.
Input-dependent distance comparisons
Two fits are not a new weighted H₀.
H₀ = 68.73735314
km s⁻¹ Mpc⁻¹, with χ² = 14.20504636 and ν = 13 under the declared correlated fit.
H₀ = 73.76772748 ± 1.0105314
km s⁻¹ Mpc⁻¹ at the retained background and nuisance convention.
These are fits to their respective supplied inputs. A fresh distributed H₀ needs the complete common likelihood, cross-covariances and physical channel map. The tested frozen structure’s settled no-go for that source-complete derivation remains separate from the passing fits.
Galaxy population response
From abundance to observable light.
Halo assembly and star-formation histories connect to five observables: UV luminosity function, star-formation-rate density, stellar mass, sizes and emission lines.
| Redshift | Model ratio |
|---|---|
| z = 8 | 2.24223 |
| z = 6 | 8.22455 |
| z = 4.9 | 13.81682 |
Evidence boundary: these are model outputs, not observed enhancements. The frozen five-observable protocol passes using evidence explicitly classified as synthetic. Independent JWST validation requires measured survey vectors, covariance and matched observable definitions.
Population, dust, mass-return, clock and selection assumptions remain part of the forecast.
Additional retained tests
Admissibility and application benchmarks.
Specified curvaton response
At supplied rD = 0.22, fNL ≈ 3.8318 under the quadratic-curvaton approximation, compared with a declared cap of 10. The sourced-tensor target 10⁻⁶ and 50–60 e-fold interval are controls, not inferred observations.
Trans-Planckian censorship, where imposed, is an additional conjectural condition.
Input-dependent PPN example
γ − 1 = −1.2499922 × 10⁻⁵ and β − 1 = 1.56248 × 10⁻⁷ for the supplied scalar-coupling inputs. These are not universal numbers for every branch.
Diagnostic and stability margins
INZ = [Bd − (mn − mp)] / me uses supplied binding energy and masses. It is not their derivation or a complete stellar-ignition law.
The separate computational benchmark reports slacks 0.14 and 0.09, with ρmax = 0.92 ≤ 0.95.
Supplied classification benchmark
The three-model AUC table reports gains 0.09, 0.07 and 0.02 with zero reported table violations. This is not a universal learning-speed improvement, privacy guarantee or demonstrated live permission/spectral-guard trace.
The final interpretation
Keep a testable result testable.
Agreement supports the specified construction; it need not uniquely identify UTFANSWF over the established physics it reuses. A failed parameter choice also does not reject every possible branch.
Not claimed as successful independent numerical predictions: absolute electromagnetic normalization, a uniquely selected trinucleon lifetime, or a fresh distributed H₀ from the tested frozen structure. Internal Item #8 closure remains PASS; continuous external axion coverage remains a separate OPEN question.