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

Attar, A. (2025). Quantum Traction Theory (QTT). Zenodo. 10.5281/zenodo.17527179

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

Equation

I_clk = cos((π)/(8)) ≈ 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

#

1

Category (which clock?)

LAB (τ-only)

Effect / Observable

Aharonov–Bohm (AB) phase vs dephasing

Significance / status

AB phase invariant at very high significance; slope ~ 0

Layman description

The 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.

#

2

Category (which clock?)

LAB

Effect / Observable

Berry phase vs spectator noise

Significance / status

Geometric phase unchanged within <1% over large visibility changes

Layman description

You 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.

#

3

Category (which clock?)

LAB

Effect / Observable

AC Josephson frequency vs step visibility

Significance / status

Frequency relation

Equation

f = 2eV/h

holds at extremely high precision

Layman description

Voltage 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.

#

4

Category (which clock?)

LAB

Effect / Observable

Non‑commuting phase‑space loops (Weyl/BCH loops)

Significance / status

Measured loop phases match predicted slopes within a few percent

Layman description

When 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.

#

5

Category (which clock?)

LAB

Effect / Observable

Two‑path interference with explicit record channel

Significance / status

All photon/electron/atom/molecule experiments fall on the universal line

Equation

V_uncond/V_0 = 1 – η

Layman description

Across very different platforms, if you know “which path” in a fraction

Equation

η

of runs, the fringe contrast drops by exactly that fraction. This law needs only the lab clock and a simple access fraction.

#

6

Category (which clock?)

LAB

Effect / Observable

Intraband access factor

Equation

A_acc

in graphene/hBN vs GaAs

Significance / status

Graphene/hBN shows a stable plateau 0 <

Equation

A_acc

< 1; GaAs stays at

Equation

A_acc≈ 1

Layman description

In 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.

#

7

Category (which clock?)

LAB

Effect / Observable

Isotropic O(4) regulator in lattice HVP (muon g–2)

Significance / status

Reducing lattice artifacts and tightening errors at >3σ in most ensembles

Layman description

Using 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.

#

8

Category (which clock?)

ABS (T‑dominated)

Effect / Observable

Creation–coasting law

Equation

H_tau0 tau_0 ≈ 1

Significance / status

Product expansion‑rate × age consistent with 1 within a few percent

Layman description

In 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.

#

9

Category (which clock?)

ABS

Effect / Observable

Absolute Hubble rate

Equation

H_tau0

and age

Equation

tau_0

Significance / status

Best fit

Equation

H_tau0sim62-70

km/s/Mpc,

Equation

tau_0sim14-16

Gyr; product ~1

Layman description

QTT’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.

#

10

Category (which clock?)

MIXED (T→τ)

Effect / Observable

Probe‑dependent Hubble constants

Equation

H_0^(P)

Significance / status

Each probe (CMB, BAO, TRGB, Cepheids, lenses, masers, SBF) matches its QTT prediction within ≲1–2σ; global fit is good

Layman description

Each method measures

Equation

H_0^(P) = H_tau0/C_P

where 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 , all three match almost perfectly; best alternative pattern is off by ~8% Using the same constant 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

Equation

θ(a)

Baseline 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

Equation

R = S_T / S_tau

Not yet measured; QTT predicts , GR expects 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 .
• The absolute expansion rate and absolute age .

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
  Equation

  

  I_clk=cos(π/8)

  alongside fixed exponents.

• The time‑plane drift angle 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
  Equation

  

  R=cos(π/8)

  , GR says

  Equation

  

  R=1

  .

These are genuine “T→τ projection” observables. They are where the number 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 . That tilt is where Quantum Traction Theory expects General Relativity to crack.

10.5281/zenodo.17527179