What Our Current Quantum Traction Theory (QTT) – Job Tilt Framework Actually Implies

This post summarizes what the current Quantum Traction Theory (QTT) and Jobs Tilt Framework (JTF) setup already implies scientifically, based on the internal cross-checks and “deep tests” we have run: single-kernel consistency in the leptonic QED sector, the projection-count rules for charged leptons, and the emergent-Standard-Model (emergent-SM) claims.

The goal here is not promotion, but a clear record: which ideas are now structurally fixed, what they imply, and where they could fail.

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1. Standard Model “coincidences” become structured outputs

1.1 The e/3 charge lattice

In the conventional Standard Model (SM), the fact that all observed electric charges sit on a grid with step e/3 (leptons at integer multiples of e, quarks at ±e/3, ±2e/3 inside hadrons) is a pattern in the hypercharges. The denominator “3” is not explained; it is just part of the input.

In the QTT picture, allowed holonomies at birth come from equal-share partitions of a 2π dial: monadic (n = 1), dyadic (n = 2), and triadic (n = 3) turns. These three are singled out by a capacity bound: higher n (4, 5, …) are suppressed at birth. If electric charge is identified with a holonomy fraction built from these minimal partitions, the natural outcome is a charge lattice in units of e₀/3, and fractions like e/5, e/7 are capacity-suppressed.

Implication: Any discovery of a stable elementary particle with a charge that is not a multiple of e/3 is not just “new physics” in the usual sense; it directly contradicts the minimal monad/dyad/triad holonomy story. Conversely, every null search for stable particles with non-e/3 charges implicitly supports that geometric pattern.

1.2 Why SU(3) × SU(2) × U(1), and not something larger?

The SM gauge group SU(3) × SU(2) × U(1) is traditionally taken as given. By contrast, in the QTT emergent-SM framework:

• Monadic holonomies (2π) map to U(1),
• Dyadic half-turns map to SU(2) with ℤ₂ center,
• Triadic third-turns map to SU(3) with ℤ₃ center,
• Holonomy partitions with n ≥ 4 are suppressed by capacity at birth.

In this view, SU(3) × SU(2) × U(1) is the “triad closure” of the minimal holonomy sectors.

Implication: If an elementary gauge sector with a genuinely irreducible SU(4) (or larger) factor and its own chiral matter appears at accessible energies, that would directly contradict the “birth-suppressed n ≥ 4” assumption. This constrains what kinds of low-energy BSM gauge structures are compatible with QTT.

1.3 Hypercharge numerology and anomaly cancellation

Within one SM generation, several gauge and gravitational anomalies cancel in a nontrivial way. In the SM they are simply checked and accepted.

In the QTT emergent-SM variant, hypercharges are built from dyadic/triadic shares, and when combined with Q = T₃ + Y/2, the usual one-generation hypercharge assignments emerge as the unique share-compatible, anomaly-free pattern under those rules.

Implication: New chiral fermions cannot be assigned arbitrary anomaly-free hypercharges and remain QTT-compatible. Their hypercharges must be decomposable into dyadic/triadic shares. This is a structural constraint on model-building, not just an aesthetic preference.

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2. Strong-CP and proton stability without extra symmetries

2.1 Strong-CP: why θ̄ ≈ 0 without an axion

The strong-CP problem is the observation that QCD allows a CP-violating angle θ̄, but neutron EDM limits require |θ̄| ≲ 10⁻¹⁰, which looks like a fine-tuning.

In QTT, modular 2π phase closure and capacity constraints act at the level of birth holonomies: CP-odd offsets are disallowed as free initial conditions. Any remaining universal tilt is governed by a two-clock spurion ε_CPT ∼ H × t̃, which is estimated to be of order 10⁻⁶¹ once Planck identifications are made. The effective QCD θ̄ emerging from this is therefore far below current EDM sensitivities.

Implication: Future neutron (and other) EDM experiments do more than probe a QCD “tuning problem”: a robust, non-tiny θ̄ would directly stress QTT’s phase-closure and two-clock spurion mechanism.

2.2 Proton longevity from capacity suppression

The proton has not been observed to decay, with lower bounds on its lifetime exceeding ~10³⁴ years. In the SM this is sometimes considered “accidental”: renormalizable operators conserve baryon number, but higher-dimensional operators could violate it.

In QTT, baryons are treated as triadic singlets. Efficient baryon number violation would require creating birth configurations corresponding to non-minimal holonomies (effectively n ≥ 4), which are suppressed by the same capacity arguments. Proton longevity is then a natural infrared feature, not an accident.

Implication: An observed proton decay rate in the “canonical GUT” range would count against the idea that A6-type capacity suppression is the dominant mechanism forbidding low-energy baryon violation.

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3. Constraints on new particles and representations

The projection-count rule {βₑ, β_μ, β_τ} = {0, 1, 2} and the Jobs Tilt pattern (βₑ, β_μ, β_τ) = (2, 0, 1), together with the capacity and kernel rules, restrict what new matter content can be added without breaking the framework.

3.1 Elementary weak representations

Under QTT, dyadic (n = 2) partitions are the last capacity-efficient nontrivial option for chiral birth. Elementary weak multiplets of chiral matter are therefore expected to be SU(2) doublets (or singlets); higher multiplets (triplets, quadruplets) would be “too expensive” at the capacity level and should not appear as fundamental chiral fields at low energies.

Implication: A genuine elementary chiral SU(2) triplet (beyond adjoint gauge bosons or composites) would contradict the capacity-minimal dyadic picture.

3.2 New fractional charges and gauge factors

Similarly, any new stable particle with electric charge outside the e/3 lattice, or any low-energy chiral sector based on an irreducible SU(4) or larger factor, would push against the monad/dyad/triad and minimal-holonomy assumptions.

Implication: Null results in searches for fractionally charged matter and for low-energy extra gauge factors do not just say “no new physics seen”; they gradually tighten the geometric constraints that QTT uses to reproduce the SM structure.

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4. Single-kernel leptonic QED as a precision test

One of the strongest internal results is the single-kernel law in the leptonic QED sector:

• α is anchored once from the electron anomaly aₑ using 5-loop QED with hadronic and weak pieces subtracted.
• The same kernel K(ω) and normalized measure reproduce:
  • the pure-QED part of the muon anomaly a_μ, and
  • the QED contribution to the hydrogen 2S–2P Lamb shift,
  with no extra scaling factors.
• Any attempt to multiply these observables by cos(b π/8) (i.e. an extra projection factor) severely breaks the fit.

Implication: If future measurements of pure-QED contributions to a_μ or Lamb shift deviate significantly from this single-kernel prediction (after hadronic and weak corrections are properly handled), such deviations cannot be absorbed by tuning an extra projection factor or a leptonic normalisation. They would represent:

• either a failure of the single-kernel assumption within QTT, or
• genuinely new physics in the QED sector.

This makes the leptonic QED sector a very clean precision testbed for the kernel part of QTT.

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5. Cosmology and readout geometry: H₀T₀ & flybys

5.1 The “cosmic coincidence” H₀ T₀ ≈ 1

The product of today’s Hubble constant H₀ and the cosmic age T₀ is close to 1 in natural units. In standard ΛCDM this is typically seen as a coincidence.

In QTT, in an appropriate “coasting” gauge, source–sink balance implies a ledger relation of the form H(T) × T = 1, tying the Hubble rate to a global endurance-sourcing mass.

Implication: Measurements of H(z) and t(z) at low redshift become direct tests of a specific ledger equation, not just numerical curiosities. A robust, precise violation of H(T) T = 1 over the domain where QTT’s assumptions apply would count directly against this part of the framework.

5.2 The Earth flyby anomaly as readout geometry

The reported “flyby anomaly” in some early spacecraft Earth flybys has been framed in QTT as a readout bias: a two-clock-induced Doppler timing asymmetry on a rotating Earth, producing a specific geometry law for changes in asymptotic velocity. This law has no tunable parameters; it is fixed by Earth’s rotation and the inbound/outbound declinations.

Implication: High-quality, geometry-controlled reanalyses of flyby Doppler data become direct tests of the two-clock readout picture. Systematic, geometry-matched violations would challenge the QTT interpretation; consistent agreement would support the idea that some “anomalies” live in readout geometry, not new forces.

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6. What this means for the electron-mass program

The main structural goal in the JTF/QTT work is a parameter-free derivation of the electron mass mₑ. The findings above have two important consequences for that effort:

1. They lock down the “moving parts”:
   • The kernel sector is fixed: a single kernel anchored by aₑ, with no projection factors.
   • The projection sector has discrete β-pattern (βₑ, β_μ, β_τ) = (2, 0, 1) derived from QTT axioms and checked against capacity indices.
   • The capacity ledger and selection principle specify how a mass should be picked once the window and kernel are given.
2. They isolate what still needs to be derived:
   • The holonomy exponents αₑ, α_μ, α_τ must be obtained from QTT directly, not from observed masses.
   • A canonical mass-window family Wₑ(ω; m) must be selected by a QTT principle (e.g. maximum entropy, minimal divergence to K(ω)).
   • The capacity-selection equation must then be solved to see whether it yields the observed mₑ without any tunable parameters.

In other words, the framework around the electron mass is now highly constrained and falsifiable. When the capacity-selection calculation is finally run with a fully QTT-derived kernel and window, a match to mₑ would constitute a genuinely parameter-free mass prediction; a mismatch would clearly indicate which part of the framework is under tension.

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Summary

The current QTT + JTF setup does more than reformulate known physics: it provides structured explanations for several Standard-Model “inputs” (charge lattice, gauge group, hypercharges, weak reps), offers gravity-based reasons for proton longevity and tiny strong-CP, constrains which new particles and groups are allowed, and turns leptonic QED and some cosmological relations into precise tests of the kernel and projection structure.

What remains is to carry this structure through one more step: a fully parameter-free derivation of the electron mass from the capacity ledger and single-kernel measure. The scientific implications of the framework — positive and falsifying — are now clear enough that this final step, whether it succeeds or fails, will be informative.