SUPERSEDED — this page is preserved unedited as part of the historical record of the program. It describes an earlier iteration; several of its claims were later reversed or refined (in particular: the final theory predicts BMV entanglement WILL be observed, no Diósi–Penrose rest floor exists, and the Le Sage mechanism is dead by the passivity theorem). The current theory — The Audited Vacuum — lives at the treatise.

Interactive Simulation

Two objects in a shared Bath field. The cyan sphere (Q=0.05) and orange rod (Q=1.0) experience continuous weak measurement of their quadrupole moments. Watch as the measurement-feedback loop creates emergent gravitational attraction.

Bath Field ξ(x,y,t)
+σ
0
-σ
Quadrupole Dynamics
Power Spectral Density
Bath Anisotropy (Measurement Imprint)

Controls

1 / 2 Select object
WASD Move object
G Toggle geometry
[ ] Correlation ℓ
- = Coupling λ
I Interaction on/off
R Reset
Space Pause

The Physics

This simulation implements the Bath-TT measurement-feedback framework where gravity emerges as compensating back-action.

1. Bath Measures TTT

The environment continuously and weakly measures the transverse-traceless components of stress-energy — shape/quadrupole degrees of freedom, not mass or position.

Hint = λ ∫ TTTij Ξij
Only TT modes propagate information causally.

2. Lindblad Decoherence

Tracing out the Bath yields irreversible dynamics. Superpositions of different shapes decohere faster than identical shapes at different positions.

ρ̇ = -½∫ NTT[TTT,[TTT,ρ]]
Γ ∝ (ΔQ)² — depends on quadrupole difference.

3. Gravity = Feedback

Measurement alone causes heating. To stabilize, the Bath applies deterministic back-action driven by the measurement record. This IS gravity.

Hfb ~ -∫ TTT K(r) TTT
K(r) ∝ 1/r → Newtonian attraction emerges!

What to Observe

Sphere vs Rod → Rod decoheres faster (Γ ∝ Q²) → Objects attract when close → Emergent Gravity

Press G to toggle geometry. Move objects with WASD and watch the distance decrease.