Gravity in PFT

Field that sets visibility

In PFT, gravity is the condition that controls whether streams stay flattened (2-D) or are restored to full 3-D alignment. Photon events track the local degree of 3-D restoration near sufficient gradients.

Light in PFT

2-D streams ⇄ 3-D alignment

Light propagates as 2-D recursive resonance. Far from strong gradients the streams remain flattened in 2-D. Near sufficient gravitational gradients they lift out of the plane (3-D), which yields photon events at interaction/detection. Leaving those regions, streams return to the flattened 2-D state.

Flattening / 3-D Restoration Criterion

Operational handle

Let L_π be the Pi-coherence span and ‖∇g‖ the tidal-gradient norm. Define:

χ_3D ≡ ‖∇g‖ · L_π   [s⁻²]

3-D restoration rule: if χ_3D ≥ Θ, streams are restored to 3-D and photon events are plentiful. If below threshold, streams remain flattened in 2-D.

2-D ⇄ 3-D Mechanism

Statement

Space is 2-D for light propagation unless gravity says otherwise. Away from strong gradients the field can’t support a 3-D wave format, so the out-of-plane component is suppressed and streams remain flattened in 2-D. Near sufficient gradients, gravity restores 3-D alignment; photons appear at interaction. Leaving those regions, the alignment returns to 2-D.

Practical Rule

Use χ_3D ≡ ‖∇g‖ · L_π. Above threshold → 3-D restoration (high photon yield). Below threshold → 2-D flattening (low yield).

Mapping Site Terms

Consistent with flattening

• Axis Hooking: alignment of Pi-streams to preferred 2-D axes within the lattice; near sufficient gradients, hooking resists flattening and supports 3-D restoration.
• Feed of Light: effective throughput of restored 3-D alignments across a region (photon event supply), not a velocity change.
• Synchronization / Entanglement: shared lattice/axis constraints propagate as logical permission; observable photons still arise at 3-D restoration/detection.

What to Expect in Different Environments

Examples

• Tiny ice/dust grains: “micro-gravity” at human scale can exceed the Pi-scale threshold ⇒ local 3-D restoration ⇒ glints/visible events.
• Planetary vicinity (structured gradients): abundant restoration ⇒ higher diffuse background visibility.
• Deep interstellar regions (weak gradients): persistent flattening; restoration mainly at surfaces/instruments or near small local field sources.
• Near strong curvature gradients: sustained restoration ⇒ high photon yield; geometry follows the field.

Observable Signatures

What to measure

• Restoration density vs. χ_3D: predict spatial photon yield by computing χ_3D from a gravity model (tidal tensor) with an assumed/measured L_π; compare to counts of glints in micron-scale dust clouds.
• Earth vs. Moon sky: lower lunar gradients ⇒ fewer unsourced restorations (low diffuse background); Earth’s structured gradients + motion ⇒ higher background visibility.
• Interferometry: with matched spectral width/brightness, fringe visibility correlates with L_π and χ_3D beyond bandwidth-only coherence length.
• Instrument edges/surfaces: local geometry can exceed threshold and generate restorations on contact; expect photon production at impact/edge sites even in weak far-field gradients.

Methods & Reproducibility

Planned artifacts

Linked notebooks will compute L_π, coherence budgets, parity proxies, and χ_3D for (a) simulations, (b) public sky maps, and (c) instrument images. Until those are posted, treat quantitative claims here as predictions to be tested.

Summary

Unification in PFT terms

Gravity and light unify through flattening ⇄ 3-D restoration. Gravity provides the condition; the condition sets whether the out-of-plane component is suppressed (2-D) or sustained (3-D). “Hooking” aligns streams; “Feed” is the throughput of restorations. The factor χ_3D and the scale L_π turn narrative into measurements.