I realized I should translate these results into the specific vernacular of the Physics Project to make the relevance clear.
In the Wolfram context, we accept that the Observer is "computationally bounded." My work quantifies that bound strictly as a Resolution Horizon (
$h=3$).
- Residue = Coarse Graining Error: The "Geometric Residue" I describe is exactly the Coarse-Graining Artifact that arises when you try to observe a
$D=4$ bulk through a
$D=3$ aperture. The "failure" of Green's Theorem is not a bug; it is the definition of the Observer's interface.
- The Missing Conserved Quantity: The model relies on the "Characteristic"; a conserved unit content that flows through the graph. I believe this is the necessary structural invariant required to turn the abstract Ruliad into persistent matter. Without this conservation law, the graph updates are just noise; with it, they condense into the Standard Model spectrum.
- The Result: This is not a curve fit. It is the spectral invariant of that specific
$v=4 \to h=3$ projection.
If you are looking for the mechanism that restricts the Ruliad to the specific slice we inhabit, I believe Topology Conservation (
$H(3)=+1$) is that mechanism.
Wolfram, I have your observer, and the horizon of the observable is physics.
https://doi.org/10.5281/zenodo.18003798
