Two Clocks, One Universe: How Nature Chooses Between Lab Time and Cosmic Time (ABC)

Attar, A. (2025). Quantum Traction Theory (QTT). Zenodo. https://doi.org/10.5281/zenodo.17594186

Quantum Traction Theory (QTT) says the universe runs on two clocks at once: a local lab clock, and a deeper Absolute Background Clock. Different phenomena “listen” to different clocks – or to a mixture of both. Here’s where we stand so far.


1. The Two Clocks in One Sentence

In QTT there are:

  • The lab clock τ – the time your instruments use: oscillators, lasers, atomic clocks, etc.
  • The Absolute Background Clock T – a deeper, global time that governs the large-scale evolution of the universe.

They are not perfectly aligned. They are tilted by a small, fixed angle encoded in

I_{\rm clk} = \cos\!\left(\frac{\pi}{8}\right) \approx 0.923879.

Some effects depend purely on τ, some purely on T, and some on a mixture (T projected onto τ with that tilt). Below is a map of which is which.


2. Clock-Type Map of Known QTT Effects

#Category (which clock?)Effect / ObservableSignificance / statusLayman description
1LAB (τ-only)Aharonov–Bohm (AB) phase vs dephasingAB phase invariant at very high significance; slope ~ 0The magnetic-flux phase stays locked in place even when the electron fringes fade due to noise. The phase clearly follows the local lab clock, not some hidden cosmic clock.
2LABBerry phase vs spectator noiseGeometric phase unchanged within <1% over large visibility changesYou can inject dephasing noise into a qubit while it traces a loop; the visibility drops, but the Berry phase hardly moves. It’s tied to the lab’s parameter cycle, not to access or to the cosmic clock.
3LABAC Josephson frequency vs step visibilityFrequency relation f = 2eV/h holds at extremely high precisionVoltage standards use the Josephson effect to define the volt. Even when the Shapiro steps in the I–V curve get tiny, the frequency–voltage link remains exact. That tick rate is pure lab time.
4LABNon‑commuting phase‑space loops (Weyl/BCH loops)Measured loop phases match predicted slopes within a few percentWhen you drive a system around a closed loop in phase space, the extra phase you get scales linearly with how well the two paths are aligned. Experiments show exactly that lab‑time behaviour.
5LABTwo‑path interference with explicit record channelAll photon/electron/atom/molecule experiments fall on the universal line V_{\rm uncond}/V_0 = 1 - \etaAcross very different platforms, if you know “which path” in a fraction \eta of runs, the fringe contrast drops by exactly that fraction. This law needs only the lab clock and a simple access fraction.
6LABIntraband access factor A_{\rm acc} in graphene/hBN vs GaAsGraphene/hBN shows a stable plateau 0 < A_{\rm acc} < 1; GaAs stays at A_{\rm acc}\approx 1In moiré graphene, only a fraction of the electrons actually carry DC current; the rest are pushed to higher-frequency channels. In plain GaAs, every electron pulls its weight. This is all about how charge moves in lab time.
7LABIsotropic O(4) regulator in lattice HVP (muon g–2)Reducing lattice artifacts and tightening errors at >3σ in most ensemblesUsing a symmetry‑based, fully rotational cutoff in lattice QCD makes the data cleaner and closer to the true continuum value, without any extra free parameters. This is a “lab‑side” (Euclidean) time improvement, not a cosmic effect.
8ABS (T‑dominated)Creation–coasting law H_{\tau0}\,\tau_0 \approx 1Product expansion‑rate × age consistent with 1 within a few percentIn QTT’s cosmology, the universe expands such that the absolute Hubble rate times the absolute age is basically one. Early‑epoch data fit this simple rule without needing dark‑energy fine‑tuning. This law is naturally written in the Absolute Background Clock T.
9ABSAbsolute Hubble rate H_{\tau0} and age \tau_0Best fit H_{\tau0}\sim62\!-\!70 km/s/Mpc, \tau_0\sim14\!-\!16 Gyr; product ~1QTT’s “true” expansion rate and true cosmic age live on the absolute clock. All the different measured Hubble constants are just this one number seen from different tilted lab perspectives.
10MIXED (T→τ)Probe‑dependent Hubble constants H_0^{(P)}Each probe (CMB, BAO, TRGB, Cepheids, lenses, masers, SBF) matches its QTT prediction within ≲1–2σ; global fit is goodEach method measures
H_0^{(P)} = H_{\tau0}/C_P

where C_P = \langle\cos\theta(a)\rangle depends on when and where you look. That is: a single absolute expansion rate on T, seen through slightly different tilts into the lab clock τ. 11 MIXEDCharged‑lepton capacity pattern (e, μ, τ) With I_{\rm clk} \approx 0.92388, all three match almost perfectly; best alternative pattern is off by ~8% Using the same constant I_{\rm clk}=\cos(\pi/8) for all three charged leptons, QTT almost exactly reproduces the electron, muon, and tau masses with no extra tuning. The masses are measured in lab time, but they “know about” the T–τ tilt through that cosine. 12 MIXEDCosmic time‑plane drift angle \theta(a) Baseline \theta_\star = \pi/8 at recombination; drift to ~30° today; matches all H₀ probes together QTT models how the tilt between T and τ slowly changes as the universe evolves. Starting from 22.5° in the early universe and drifting slightly gives exactly the spread of Hubble values we see today. 13 MIXED (prediction)Dual‑channel Sagnac ratio R = S_T / S_\tau Not yet measured; QTT predicts R = I_{\rm clk} = \cos(\pi/8)\approx0.9239, GR expects R=1 Use one rotating loop with two simultaneous readouts: a continuous‑phase LAB channel and an “absolute transport + single projection” ABS channel. QTT says their slopes will differ by the universal tilt factor; GR says they must be identical. This is the clean showdown experiment.


3. What This Table Is Really Saying

3.1 Mostly Lab-Clock Physics (τ‑only)

Items 1–7 are things we already understand very well in ordinary physics:

  • AB, Berry, and Josephson phases.
  • Non‑commuting phase‑space loops.
  • Two‑path interference with which‑path information.
  • Transport in moiré graphene vs an ordinary GaAs 2DEG.
  • Lattice QCD improvements for muon g–2 via an O(4) regulator.

In all of these, the data behave as if the lab clock τ is the only relevant time. QTT does not try to change those laws; it just reorganizes them into a clean, parameter‑free geometric picture.

3.2 Mostly Absolute-Clock Physics (T‑side)

Items 8–9 live naturally on the Absolute Background Clock:

  • The “creation–coasting” law H_{\tau0}\,\tau_0 \approx 1.
  • The absolute expansion rate H_{\tau0} and absolute age \tau_0.

These are not things you read off from one telescope; they are global properties of cosmic evolution. In QTT, they are expressed most cleanly in the T‑clock, then projected into τ for us to measure.

3.3 Mixed: Absolute Laws Seen Through a Tilt into the Lab

Items 10–13 are the most interesting, because they combine both clocks:

  • Hubble constants from different probes (CMB, BAO, ladders, lenses, masers, SBF) all look different because they see the same absolute expansion through different cosine tilts.
  • Charged‑lepton masses line up almost perfectly if you include the same clock‑tilt factor I_{\rm clk}=\cos(\pi/8) alongside fixed exponents.
  • The time‑plane drift angle \theta(a) evolves from 22.5° to about 30°, smoothly connecting early‑ and late‑universe measurements.
  • The dual‑channel Sagnac ratio is the clean, future test: QTT predicts R=\cos(\pi/8), GR says R=1.

These are genuine “T→τ projection” observables. They are where the number I_{\rm clk}=\cos(\pi/8) really matters.


4. One-Paragraph Takeaway

So far, the universe splits roughly like this: everyday lab physics (interference, Josephson, AB/Berry phases, standard transport, lattice simulations) runs happily on the lab clock τ; the global behaviour of the universe (its age and absolute expansion) fits naturally on the absolute clock T; and a small but crucial set of phenomena – the Hubble landscape, the lepton spectrum, and the planned dual‑channel Sagnac experiment – look exactly like absolute laws seen through a fixed tilt I_{\rm clk}=\cos(\pi/8). That tilt is where Quantum Traction Theory expects General Relativity to crack.

https://doi.org/10.5281/zenodo.17594186

Published by Quantum Traction Theory

Ali Attar

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