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Vacuum Physics · April 2026

The Lattice Between

What is the space between atoms? This paper identifies the vacuum as the forbidden-mode lattice of the 600-cell — the complement of the standing waves that constitute matter. The photon, the Casimir effect, and gravity all emerge from this lattice structure.

Eric McLean · Independent Researcher, Edinburgh · Pentagon Physics · 17 April 2026 · 10.5281/zenodo.19631647
1Lattice
3Phenomena
120Vertices
0Free parameters
Key Results

The vacuum is a lattice

The space between atoms is not empty but structured. This paper identifies the vacuum as the set of forbidden eigenmodes on the 600-cell — the complement of the standing waves that constitute matter. Three fundamental phenomena — the photon, the Casimir effect, and gravity — all emerge naturally from the properties of this forbidden-mode lattice.

1
The vacuum is not empty space but the set of forbidden eigenmodes on the 600-cell — the complement of the standing waves that constitute matter.
2
The photon is a propagating disturbance along the D₄ bridge connecting adjacent 600-cell cavities.
3
The Casimir effect is a boundary condition on the forbidden-mode lattice — geometry, not vacuum fluctuations.
4
Gravity emerges from the spectral density gradient of the lattice between massive objects.
Kill Conditions
K1: Casimir prediction deviating from measured value by more than 2% — lattice model falsified
K2: Photon propagation mechanism inconsistent with measured speed of light — bridge model falsified
↗ Read on Zenodo doi:10.5281/zenodo.19631647