Quantum Traction Theory · QTT
Ali Attar  ·  ORCID 0009-0008-9931-2691
Independent research programme · May 2026

Nine parameter-free predictions from seven axioms.

Quantum Traction Theory derives the neutrino mass-squared ratio, the Hubble local-versus-CMB ratio, the parameter-free gravitational coupling G = ℓ̃2c3/, the Standard Model gauge group, and the Second Law of thermodynamics from one substrate ledger.

The universe coasts in absolute time, a(T) ∝ T; apparent acceleration is creation-driven time drift; the Hubble tension reflects environment-dependent drift, not conflicting fundamental constants. Each derivation is openly archived on Zenodo with a minted DOI, with no fitted thermodynamic, gravitational, or particle-physics constants in the headline structural results.

Author
Ali Attar
Affiliation
Independent · Colombes, FR
Licence
CC BY 4.0
Selected results

Four equations the corpus is built on.

parameter-free
COASTING + PROBE PROJECTION
a ( T ) ∝ T , H lab = H τ / I clk · F drift

Universe coasts in absolute time T; each laboratory probe sees the rate filtered by the universal tilt Iclk = cos(π/8) and the environment-dependent drift Fdrift. The Hubble tension is the spread of probe environments, not a clash of constants.

NEUTRINO MASS-SQUARED RATIO
Δ m 2 31 Δ m 2 21 = 4π² cos²(π/8) = 33.697

Parameter-free QTT prediction. NuFIT 6.0 measures 33.55 ± 0.89. Residual: 0.16σ. The cleanest single-number test result in the corpus.

PARAMETER-FREE GRAVITATIONAL COUPLING
G = ℓ̃ 2 c 3 ℏ

Newton’s constant from the QTT substrate primitive ℓ̃ and the universal pair (c), via the no-knob constitutive projection lemma. Recovers the local Einstein–Hilbert action without inserting an independent gravitational coupling.

SECOND LAW · ANCHORED MODULAR CHARGE
d S tot QTT d T = k B d N addr d T ≥ 0

Total entropy is the address-ledger count: StotQTT = kB Naddr. The Second Law is a structural counting statement, not a typicality argument. Bekenstein–Hawking area law and the sharpened Page envelope follow as special cases.

The corpus

Nine open preprints, all DOI-minted.

9 / 9 archived
№ 00 Oct 2025 · Framework

Quantum Traction Theory — the framework manuscript

Foundational manuscript. Axioms A1–A7, the absolute Artian Background Clock, the real-dial generator J, the Artian capacity primitives, the BLOP triangular sum, and the canonical 2π modular bundle. Cited by every QTT paper.

10.5281/zenodo.17527179 →
№ 01 2026 · Theorem

A structural identification of cos(π/8)

The QTT two-clock projection constant Iclk = cos(π/8) is mathematically identical to the T-gate magic-state overlap and the symmetric CHSH variational optimum at β = π/8. Pauli-algebra theorem, line-by-line checkable.

10.5281/zenodo.19979595 →
№ 02 2026 · Particle physics

Δm²₃₁ / Δm²₂₁ = 4π² cos²(π/8)

Parameter-free derivation of the neutrino mass-squared ratio. Predicts 33.697; NuFIT 6.0 measures 33.55 ± 0.89. Residual: 0.16σ. The cleanest single-number test result in the corpus.

10.5281/zenodo.19960814 →
№ 03 2026 · Foundations

The fifth face of the Unified Equilibrium Law

Structural identification of mass–energy unification with the QTT modular-capacity bundle. The same cos(π/8) projection appears as the modular-capacity face in Lagrangian mass–energy unification.

10.5281/zenodo.19975261 →
№ 04 2026 · Cosmology

Triple parameter-free number-locks

Establishes the BLOP triangular sum, the 18-lock 18 Ωb (HT₀)² = 1, the absolute baryon density Ωb = 1/18, and the Hubble branch ratio Hlate / Hearly = sec(π/8) = 1.0824 (matches at 0.1σ).

10.5281/zenodo.20042421 →
№ 05 May 2026 · Cosmology

Time Drift from the Law of Creation

The Fdrift integral functional, computed from baryonic ledger via an explicit retarded Green function with capacity-fixed cutoff. Cosmic-age corollary t₀ = T₀ cos(7π/48) = 13.81 Gyr.

10.5281/zenodo.20042613 →
№ 06 May 2026 · Gravity

A parameter-free Einstein–Hilbert coefficient

Derivation of G = ℓ̃2c3/ from QTT axioms via the no-knob constitutive projection lemma. Recovers the Einstein–Hilbert action in the local Einstein gauge without inserting an independent gravitational coupling.

10.5281/zenodo.20042844 →
№ 07 May 2026 · Standard Model

Modular-holonomy partitions determine the SM charge ledger

Equal-share J-unitary relabelling lemma yields the centre dictionary n ∈ {1,2,3} ↦ U(1) × SU(2) × SU(3). Dyad–triad rational charge lattice gives the e/3 quantum and one-generation hypercharges.

10.5281/zenodo.20045141 →
№ 08 May 2026 · Thermodynamics

Entropy production as anchored modular charge

Parameter-free derivation of the Second Law from QTT axioms. Anchored modular charge Qw = 2π D(ρ‖ω), address-ledger Second Law, sharpened Page envelope, transport triad Λ = 1.06 ± 0.07 confirmed against Jezouin 2013.

10.5281/zenodo.20045307 →
Recent essays

Selected commentary on QTT structure and consequences.

all essays →
Cosmology Nov 27, 2025

How QTT shows slowing cosmic acceleration and explains the Hubble tension

The universe coasts in absolute time. Apparent acceleration is a creation-driven time drift, and the Hubble tension is environment-dependent drift, not conflicting fundamental constants — one creation law, three faces.

Read essay →
Foundations Nov 27, 2025

Deriving E = mc² without relativity: the QTT endurance ledger

Einstein’s mass–energy relation usually arrives hand-in-hand with special relativity. QTT recovers it from the substrate endurance ledger alone, with c entering as a primitive carrier speed rather than a Lorentz invariant.

Read essay →
Foundations May 5, 2026

QTT recovers E = Mc² without Lorentz algebra, using c as a primitive carrier speed

A second pass at the mass–energy relation. The carrier-speed framing makes explicit that QTT does not import Lorentz transformations as a starting axiom — they emerge as a consequence of the substrate ledger plus capacity bound.

Read essay →

CONTACT

Ali@quantumtraction.org

Editorial inquiries from Foundations of Physics, Phys Rev, Nature and equivalent venues welcome. Suggested-reviewer lists and conflict-of-interest exclusions available on request.

IDENTITY

ORCID 0009-0008-9931-2691

Ali Attar
Independent Researcher
Colombes, France

ARCHIVE

Zenodo · all 9 papers Framework manuscript

All preprints CC BY 4.0

© 2025–2026 Ali Attar Quantum Traction Theory · seven axioms · nine preprints

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