Circulation meets coordination.
An exact FCC shell. One selected circulation mode.
Zero vector field. No selected axis.
Same bounded domain. Seven field systems.
Reference configuration: fixed seed, scale and sample budget. View changes never alter measurements.
| Field system | Replay | ∇ · F RMS | ∇ × F RMS | Net flux | Coherence | Sample error | Anchor visits |
|---|---|---|---|---|---|---|---|
| The reference suite will appear here after measurement. | |||||||
Matching a shape is not evidence of useful propagation. Scale covariance is distinct from scale-to-scale transport.
A triangular slice through the FCC.
Keep integer addresses with i + j + k = 0 relative to the anchor. Project onto orthonormal axes (1,−1,0)/√2 and (1,1,−2)/√6. Six nearest neighbors lie in this plane.
Place equal circles at the triangular lattice centers, with radius equal to nearest-neighbor spacing. The chosen two-ring, 19-circle patch produces the displayed Flower-of-Life candidate. This extra radius and patch rule is an authored construction.
The 2D circle pattern does not establish equivalence to a 3D toroidal field or identify the generator of another image.
Latent is a capacity, not a mesh.
The local family is represented by compact parameters and canonical FCC identities. Integer parity defines lattice centers; the 12 nearest offsets are permutations of (±1,±1,0). Activated anchors are evaluated analytically at sample locations.
Surface lines, trajectories, particles, receiver cells and growth surfaces are discardable diagnostics. The stress control explicitly activates every bounded vertex and accounts for its cost.
Test the operator, then its usefulness.
Replay hashes, finite-difference divergence and curl, closed-volume flux, loop quadrature, signed balance, phase order, held-out interpolation error and actual evaluation counts accompany every field. The report includes refinement, scale and interaction studies.
Equal geometric scaling is not multiscale propagation. A phase-coupling rule is an authored experiment, not an electromagnetic law. Numerical payload memory estimates exclude JavaScript object overhead.
Production remains separate.
This experiment does not modify Simengine, PixelGen, Simlight or Holy Sim cognition and their authoritative contracts. Prototype optical samples use arbitrary synthetic intensity and carry no material or physical light authority.
No claims of complete electromagnetism, cosmological proof, consciousness physics, physical zero-point extraction or recovery of Grant’s exact construction.
Open measurement report ↗A proposed generator, clearly labeled.
The Grant candidate view combines an explicit triangular circle patch with a chosen toroidal line projection. It is a schematic experiment based on the requested relationships. No supplied Grant raster has been identified in this task, so visual agreement has not been evaluated.
A raster does not reveal the exact authored generator. Loading a reference locally enables side-by-side inspection only; it does not establish exact recovery.
Recover rules, not just pixels.
- The identified original, uncropped raster and its version.
- The authored construction sequence or generator source, including equations and parameters.
- Exact center, intersection, connectivity, clipping and layer-selection rules.
- Coordinate frame, projection/camera, scale, phase and orientation.
- Stroke, compositing and export settings; seeds if randomized.
Unresolved authorship.
Many generators can produce similar projections. The 19-circle construction is reproducible here, but its resemblance to a named figure gives no authority to identify Grant’s method or infer a physical mechanism.
Candidate specification ↗