01

The Experiment

Instructions for Testing Reality

CRYOGENIC EXPERIMENT I

Silent Rotational Interferometer

Diamagnetic levitation at 4K. Spin-mechanical coupling creates orientation superposition. The TT-bath resolves the quadrupole.

ROOM TEMP EXPERIMENT II

Weak-Value Amplified Noise

AAV weak-value amplification at 300K. Picoradian angular sensitivity. No quantum superposition required — just measure the intercept.

CLASSICAL EXPERIMENT III

Geometry-Correlated Force

Eöt-Wash torsion balance. Same mass, different shape. Residual noise at zero pressure.

ELECTROCHEMICAL EXPERIMENT IV

Differential Ionic Interferometer

Two matched electrochemical arms, one geometry knob. Stochastic resonance amplification.

THE GOLDEN CHANNEL

Rotational decoherence is the optimal signature.

STANDARD NOISE

x

Couples to position
Gas, electric fields, vibrations

VS

TT-BATH

Qij

Couples to quadrupole moment
Shape, not position

The insight: Rotational degrees of freedom are naturally shielded from common noise sources. Charge noise acts on center-of-mass, not angle. But the TT-bath sees two different mass distributions when an object is in a superposition of orientations.

Sphere: Qij = 0 → No coupling to TT-bath
Dumbbell: Qij large, anisotropic → Strong coupling

EXPERIMENT I

THE SILENT ROTATIONAL INTERFEROMETER

STEP 01

The System: Diamagnetic Levitation

Why not lasers? Optical traps bombard the target with 1015 photons/sec. Each scatter is a measurement that decoheres the state. This dominates all other noise.

The fix: Use magnetic levitation. It is passive, silent, and generates zero heat. The diamond is diamagnetic — it floats in a strong magnetic field gradient.

MATERIALS

  • Diamond nanodumbbell, 250 nm
  • Embedded NV spin center
  • Rare-earth magnets or superconducting coils
  • Cryogenic vacuum chamber
  • Temperature: 4K
  • Pressure: <10-12 Torr
  • Mass: ~10-14 kg
STEP 02

The Protocol: Spin-Mechanical Interferometry

We cannot easily split a massive object into two paths. Instead, we use the NV spin to create a superposition of angles.

INITIALIZATION

Cool the rotational motion to the ground state. Initialize the internal NV spin.

|0θ⟩ ⊗ |↑⟩

THE SPLIT (ENTANGLEMENT)

Apply a microwave pulse. The NV spin creates a magnetic torque τB. The diamond enters a superposition of being aligned vs. slightly rotated.

1/√2 ( |↑⟩|θ⟩ + |↓⟩|θ+Δθ⟩ )

THE WATCH (DECOHERENCE WINDOW)

Wait for time τ. Gas is negligible at 4K/UHV. Magnetic noise is low. The TT-bath "measures" the quadrupole difference between angle θ and θ+Δθ.

If ΓTT is real → coherence decays

RECOMBINATION

Reverse the torque. Measure the spin state.

Loss of spin contrast = Rotational Decoherence
STEP 03

Why the SNR is Massive

The signal-to-noise ratio scales with the size of the object.

SIGNAL (ΓTT)

Scales as Mass². Since M ∝ R³:

~ R6

NOISE (Gas/Blackbody)

Scales as Surface Area:

~ R2

SNR ∝ R6/R2 = R4

Result: Moving from a small molecule (R ≈ 1 nm) to a nanoparticle (R ≈ 200 nm), the signal-to-noise ratio improves by a factor of 109.

THE SMOKING GUN

To prove the decoherence is gravitational, not instrumental:

THE Q-SWITCH

Run the experiment with a sphere. Signal ≈ 0.

Run with a dumbbell. Signal = max.

Unlike optical traps, changing particle shape in a magnetic trap does not alter heating mechanisms.

PREDICTION Γdumbbell / Γsphere ≫ 1

PRESSURE SCALING

Even at 10-12 Torr, vary the pressure. Plot decoherence vs. pressure.

The intercept at zero pressure for the dumbbell will be non-zero (ΓTT).

The intercept for the sphere will be zero.

PREDICTION Γ(P→0, dumbbell) > 0

EXPERIMENT II

WEAK-VALUE AMPLIFIED ANGULAR NOISE SPECTROSCOPY

The 300K Advantage

At room temperature, creating a macroscopic quantum superposition is hard. But you don't need one. If the TT-bath exists, it adds a geometry-dependent rotational diffusion term that survives when conventional channels are pushed down. Measure the intercept — not the superposition.

THE TOOL

AAV Weak-Value Amplification

Weak values (Aharonov, Albert & Vaidman, 1988) enable measurement of tiny angular deflections with extraordinary sensitivity. A Sagnac interferometer with near-orthogonal postselection amplifies the pointer shift.

~prad/√Hz
ANGULAR SENSITIVITY
300K
ROOM TEMPERATURE
↛ x
TRANSLATION-INSENSITIVE

Key point: WVA doesn't create new physics — it lets you measure tiny angle changes with strong rejection of translation noise and lower detector requirements.

PLATFORM

Two Options (Both 300K Compatible)

OPTION A: TORSION OSCILLATOR

Micro-fabricated torsion pendulum carrying either a near-sphere or dumbbell mass. Already achieves exquisite torque sensitivity at room temperature.

OPTION B: LEVITATED ROTOR

Anisotropic nanoparticle (dumbbell) with stable libration axis. Requires UHV and charge control, but no cryogenics.

READOUT

Sagnac WVA Angle Sensor

SYSTEM

Which-path or polarization degree of freedom in the Sagnac interferometer.

WEAK COUPLING

Tiny angular deflection α(t) of a mirror attached to the torsion element produces a small transverse momentum kick to the beam.

METER

Beam transverse position on a split detector.

POSTSELECTION

Nearly dark port (small imbalance phase φ) amplifies the beam shift by 1/φ.

ANALYSIS

The Differential Intercept Test

Measure angular displacement time series α(t). Fit PSD around torsional resonance. Conventional channels give pressure-dependent terms. The TT-bath adds a geometry-dependent, pressure-independent term.

Model
Γrot,total(P) = a·P + bshape
Sphere:

bshape ≈ b0 (baseline only)

Dumbbell:

bshape ≈ b0 + ΓTT(eff)

CONTROLS

Systematic Checks (Must Control)

ELECTROSTATIC TORQUES

Dumbbells more susceptible. Neutralize charge, modulate E-fields, show intercept unchanged under reversal.

MAGNETIC ANISOTROPY

Even "nonmagnetic" materials have susceptibility. Shield, characterize, geometry-swap to bound.

OPTICAL BACKACTION

WVA uses light. Use low power (sensor is sensitive), minimize absorption, show intercept unchanged vs probe power.

Q² SCALING

Vary dumbbell aspect ratio. Δb should follow Q². If it doesn't, it's not the TT-bath.

THE SMOKING GUN (300K VERSION)

What counts as success at room temperature:

INTERCEPT DIFFERENCE

Clear dumbbell–sphere intercept difference at P → 0.

Thermal noise is huge but predictable. You're looking for the residual that changes with shape.

PREDICTION Δb = bdumbbell - bsphere > 0

Q² SCALING

Vary dumbbell geometry. Add masses. Change aspect ratio.

If the TT-bath is real, the intercept difference must track Q².

PREDICTION Δb ∝ Q²

NULL UNDER SYSTEMATICS

No scaling with probe power. Null under E-field reversal. Null under magnetic bias sweeps.

Keep only the part that tracks Q — and nothing else.

PREDICTION Δb independent of Pprobe, E, B

Why This Works

All essential pieces already exist separately: WVA beam-deflection amplification (Dixon et al. PRL 2009), picoradian angular metrology (Turner et al. 2011), mature torsion sensing. The novelty is packaging them into a shape-differential, pressure-intercept experiment.

EXPERIMENT III

GEOMETRY-CORRELATED FORCE NOISE

GR PREDICTION

After accounting for EM, thermal, mechanical, and seismic effects:

No geometry-dependent residual noise

BATH-TT PREDICTION

Irreducible residual force noise sourced by shape:

Geometry-correlated noise persists
PLATFORM

Eöt-Wash Class Torsion Balance

≤10-18
N·m/√Hz SENSITIVITY
50-500g
TEST MASS
1mHz-1Hz
FREQUENCY BAND
CONFIGURATIONS

Two Attractors, Same Mass, Different Shape

Config A: TT-Minimal

Near-spherical

Q ≈ 0

Config B: TT-Maximal

Dumbbell

Q ≫ 0
OBSERVABLE

The Discriminating Signal

Parameterized Residual Noise
Sτ(f, θ) = S₀(f) + α(f) · Q²(θ)
GR: α(f) = 0
Bath-TT: α(f) > 0

EXPERIMENT IV

DIFFERENTIAL IONIC INTERFEROMETER

Two matched electrochemical arms, one geometry knob. If the Bath is real, the difference signal lights up only at threshold and only at the stochastic-resonance optimum.

PRINCIPLE

Balanced Differential Readout

Arm A and Arm B are nominally identical ionic conductors. The only asymmetry: a high-Q object (rod/dumbbell) vs low-Q object (sphere) of equal volume.

Δ(t) ≡ OA(t) − OB(t)

O(t) = impedance, admittance, current noise, or phase response

HARDWARE

Two Sealed Microfluidic Cells

  • Electrolyte reservoir (controllable ionic strength n)
  • Matched electrodes (Au/Pt/ITO)
  • Suspended dielectric insert on rotatable micro-post
  • Local temperature sensor + thermal stage
  • Lock-in compatible AC drive + DC bias near nonlinear regime
  • Programmable noise injection (amplitude σ, bandwidth B)
  • Faraday enclosure + battery power option
NONLINEARITY

Engineered Threshold Element

Stochastic resonance requires a bistable element. Choose one:

  • Ion-selective membrane with steep conductance onset
  • Nanoporous electrode with bistable kinetics
  • Redox couple tuned near switching point
V ≈ Vc
bias near threshold
n ≈ nc
ionic strength near onset
PROTOCOL

Four-Phase Measurement

Phase 0 — Match

Spheres in both cells. Verify Δ(t) = noise floor.

Phase 1 — Asymmetry

Replace A with rod/dumbbell. Keep B as sphere.

Phase 2 — SR Scan

Sweep noise amplitude σ across decade range. Acquire Z(f), SI(f), SΔI(f).

Phase 3 — Threshold Scan

Repeat SR scan while sweeping n or V across critical point.

Phase 4 — Swap Test

Swap rod↔sphere between arms. Signature must flip.

SIGNAL

Three-Part Fingerprint

A Framework C detection requires all three:

1. Geometry Selectivity

P large for rod–sphere, small for sphere–sphere and rod–rod

2. SR Optimum

P(σ) non-monotonic with clear maximum at σ*

3. Threshold Onset

Sharp knee as n or V crosses critical point

CONTROLS

The Kill List

  • Electrical dummy: Replace one cell with passive network
  • Independent cages: Separate Faraday cages + battery packs
  • Solvent ranking: Vary dielectric constant
  • Surface chemistry: Coat inserts with identical inert layers
  • Geometry null: Sphere vs rounded capsule (intermediate Q)

Falsifiable Statement

If rod–sphere does not produce a reproducible (geometry-selective) + (SR optimum) + (threshold onset) fingerprint and survive the swap test, then Framework C has no experimental leg in this channel.

DECISION MATRIX

FAVORS BATH-TT

  • ✓ Geometry-correlated residual detected
  • ✓ Dumbbell/sphere ratio matches prediction
  • ✓ Non-zero intercept at P → 0
  • ✓ Survives all systematic null tests

FAVORS GR / CONSTRAINS BATH

  • ✗ No geometry-correlated residual
  • ✗ Sphere = dumbbell at sensitivity limit
  • ✗ Zero intercept for all shapes
  • ✗ Places upper bound on Bath coupling

Both experiments are falsifiable. If the Bath exists, we will see its signature. If it doesn't, we will know.

Continue the Journey

What would the Bath actually look like at a microscopic level?

EXPLORE THE MICROSCOPIC BATH →
EVIDENCE

Pulsar Braking Index

Standard GR + Electrodynamics predicts a spinning magnetic dipole loses energy via radiation. The braking index should be n ≥ 3. Real data consistently shows n < 3.

Pulsar
Measured n
Standard Prediction
3.0
PSR J1119-6127
2.68
Crab Pulsar
2.51
PSR B0540-69
2.14
Vela Pulsar
1.4 ± 0.2
PSR J1734-3333
0.9 ± 0.2

Bath Analysis

The Bath predicts vacuum friction: a drag torque proportional to angular velocity (τ ∝ -Ω), yielding n = 1.

Ω̇ = -AΩ³ (Dipole) - BΩ¹ (Bath)

The observed n is a weighted average. PSR J1734-3333 with n ≈ 0.9 is dominated by Bath friction — exactly what the framework predicts.

Conclusion

Astrophysical data shows anomalous drag pulling n below 3, consistent with an n ≈ 1 friction term. The laboratory experiments isolate this term in a controlled setting.

A NOTE ON FORM
"The idea becomes a machine that makes the art."

— Sol LeWitt, 1967

These experimental protocols are presented as instructions — recipes that others can execute. The idea is the machine. The execution is the test. In the spirit of LeWitt's Wall Drawings: the plan is the work.