Quantum Traction Theory Prediction: Where GR Breaks – Test Case – QTT

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

There is a simple experiment, using existing gyroscope technology, where Einstein’s General Relativity (GR) and Quantum Traction Theory (QTT) make different, sharp predictions. One of them has to give.

1. The Playground: The Sagnac Effect

The Sagnac effect is one of the oldest and cleanest rotation effects in physics. Put very simply:

Send two beams around a loop in opposite directions (clockwise and counter-clockwise).
If the loop is rotating, the beams do not come back at the same time.

This time difference is called the Sagnac time-lapse. Every ring-laser gyroscope, fiber-optic gyro, and many atom interferometers rely on it.

The well-tested formula for the time-lapse is:

$\Delta T_{\circlearrowleft} = \frac{4}{c^{2}}\ \boldsymbol{\Omega}\cdot\mathbf{A}$

where:

$\boldsymbol{\Omega}$ is the rotation rate (how fast the loop spins),
$\mathbf{A}$ is the area vector of the loop.

This law has passed countless tests with light and matter waves, at astonishing precision. Both GR and QTT agree on this geometric holonomy.

2. Where the Theories Split: How You Read the Same Loop

So far, experiments have always used effectively the same kind of readout:

They monitor the interference phase (or beat frequency) continuously in time.
Even “frequency” readouts are converted to phase using a known loop time $t_{\rm rt}=P/c$ , which makes them algebraically identical to the continuous-phase method.

Let’s call this the LAB channel (continuous phase).

Quantum Traction Theory says: there is another logically distinct way to read the same loop:

Let the phase accumulate “silently” for many loops, locked to an absolute timebase (a good clock).
Do not watch the phase in between.
At the end, open a gate briefly and take one amplitude (intensity) sample for that accumulated phase bundle.

This is the ABS channel (absolute transport + single projection) based on the Axiom 1 of Quantum Traction Theory: Absolute Background Clock of Universe – ABC

So we have, on the same loop:

LAB: continuous phase readout → slope $S_\tau$
ABS: gated single-projection readout → slope $S_T$

General Relativity, which lives entirely inside the spacetime metric, says:

Same loop, same Sagnac effect, two “classical” readouts? They must give the same scale. GR Prediction: $R \equiv S_T/S_\tau = 1.$

Quantum Traction Theory disagrees.

3. QTT’s Two Clocks and the Universal Tilt

QTT introduces a very simple, but radical structure:

There is an Absolute Background Clock $T$ — the fastest “heartbeat” of the universe.
Every lab clock $\tau$ is a tilted, slower projection of that clock.

From this two-clock geometry, QTT derives a universal projection factor:

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

This is not a fit or a fudge factor. It comes from a simple quarter-turn relation between $T$ and $\tau$ in the underlying geometry; amplitudes see a half-angle, giving $\cos(\pi/8)$ .

When you read the Sagnac effect via:

the LAB channel (continuous phase), you stay entirely on the lab clock $\tau$ .
the ABS channel (absolute transport + single projection), you carry the phase on $T$ and only project once back onto $\tau$ at the end.

According to QTT, that final projection picks up the universal tilt $I_{\rm clk}$ .

4. The Bold Prediction (This Is Where GR Breaks)

On the same Sagnac loop, with two simultaneously running readouts (LAB & ABS), QTT makes this explicit, testable claim:

QTT Prediction (Where GR Breaks)

$R \equiv \frac{S_T}{S_\tau} = \cos\left(\frac{\pi}{8}\right) \approx 0.923879.$

QTT: $R = 0.923879\ldots$ (a universal 7.6% tilt)
GR: $R = 1$ exactly (no tilt)

In words:

LAB channel (continuous phase) must reproduce the standard Sagnac scale $S_\tau$ .
ABS channel (absolute transport + one amplitude projection per bundle) must show a scale $S_T = I_{\rm clk}\,S_\tau$ .

If an experiment finds $R \approx 0.924$ with good precision, GR cannot explain it without leaving its own framework. If $R \approx 1$ with a true ABS channel, the QTT tilt picture is wrong.

This is a clean, binary test.

5. How to Test This in the Lab (Concrete Protocol)

5.1 Hardware: One Loop, Two Channels

Start with a high-quality optical gyroscope:

Ring-laser gyro (RLG), or
Fiber-optic gyro (FOG).

Use the same physical Sagnac loop; do not change the geometry between channels.

LAB Channel (Baseline)

Standard continuous-phase readout:
- Measure the interference phase (or beat frequency) in real time.
- If you use frequency, convert it to phase using $t_{\rm rt}=P/c$ .
From a rotation sweep (vary $\Omega$ ), determine the slope: $S_\tau = \left(\Delta\phi/\Omega\right)_{\tau}.$

ABS Channel (QTT Channel)

Lock the light source to an absolute time/frequency reference (e.g. GPSDO, atomic clock).
Let the beams circulate for a fixed number $N$ of round trips with the detector blanked.
After $N$ loops, open a fast gate (electro-optic modulator, shutter) and take a single intensity sample.
Repeat this for each applied rotation rate $\Omega$ , always one amplitude sample per accumulated bundle.
From the ABS data, determine: $S_T = \left(\Delta\phi/\Omega\right)_{T}.$

5.2 Data Analysis

Fit straight lines for both channels: $\Delta\phi$ vs $\Omega$ to obtain $S_\tau$ and $S_T$ .
Compute the ratio: $R = S_T/S_\tau.$
Compare to:
- $1.000$ (GR’s expectation)
- $\cos(\pi/8)\approx 0.923879$ (QTT’s prediction)

A well-designed experiment can reach sub-percent uncertainty on $R$ . The QTT tilt is ~7.6%, so the difference is large enough to be resolved cleanly.

6. Why This Deserves to Be Done

For over a century, the Sagnac effect has been interpreted as a triumph of relativity. And it is. But all our tests have, in practice, used only one projection of time – the lab’s continuous-phase clock. Quantum Traction Theory says there is another way to look, one that might reveal a hidden tilt between the lab clock and the universe’s deeper clock.

The test is simple in spirit:

Same loop
Two readouts
One ratio: $R = S_T/S_\tau$

If $R = 1$ , GR survives and QTT’s tilt is ruled out (at least in this sector). If $R = \cos(\pi/8)$ , we will have discovered that the way time projects into our instruments is more subtle than Einstein’s metric alone can tell us.

Quantum Traction Theory Prediction, in one line:

On a single rotating Sagnac loop with two simultaneous readouts (LAB continuous-phase and ABS single-projection), the measured ratio must be

$R = S_T/S_\tau = \cos(\pi/8) \approx 0.923879.$

That is where GR breaks.

Quantum Traction Theory Prediction: Where GR Breaks – Test Case

1. The Playground: The Sagnac Effect

2. Where the Theories Split: How You Read the Same Loop

3. QTT’s Two Clocks and the Universal Tilt

4. The Bold Prediction (This Is Where GR Breaks)