TITLE:
Does 3-D Space Have the Structure of a Kelvin Cell?
AUTHORS:
Christopher Pilot
KEYWORDS:
Quantum Vacuum, Planck Particles, Winterberg’s Vacuum Model, Tessellated 3-D Space, Planck Particle Condensate, Higgs BEC (Bose-Einstein Condensate), Granular Geometrical Structure for Space
JOURNAL NAME:
Journal of High Energy Physics, Gravitation and Cosmology,
Vol.12 No.4,
October
26,
2026
ABSTRACT: If we accept the interpretation of a Higgs field as a
〈
ψ
+
ψ
−
〉
condensate, where
ψ
+
and
ψ
−
are the Planck Particle wave functions of Winterberg, we will prove that 3-D space has a unique 3-D cellular structure. It was a structure already discovered in 1887 by Lord Kelvin (aka Sir William Thomson) in his attempts to come up with a “luminiferous ether” for space. He thought in terms of a foam-like structure for space, one that could be vibrated or set oscillating for the propagation of electromagnetic waves. Winterberg’s version of space deals within a totally different context, a two-component superfluid model, made up of material particles, which have positive and negative, the Planck mass,
m
p
=±
ℏc/G
=±2.176E−8 kg
. According to Winterberg, 3-D space is literally made up of a vast assembly (sea) of such particles. It turns out that space also has a cellular structure because the superfluid forces keeping these particles in place, are very strong, and thus anchor the particles spatially in position. The particles are effectively bound, and box quantization conditions apply. We believe that space is discrete and has a graininess of the order,
L=5.028E−19 meters
, as shown in previous work. If we accept the notion that space is made up of discrete, tessellated cells, consisting of
ψ
+
and
ψ
−
particles, each occupying a fixed volume, and if the Higgs condensate is, indeed, a bound
〈
ψ
+
ψ
−
〉
structure, then we can prove that the quantum vacuum has the characteristic structure of a so-called Kelvin cell, otherwise formally known as a truncated octahedron. This is the only cellular structure, among many, which satisfies the requirements of being discrete, having the property of being tessellated, and which satisfies the additional requirement that the Higgs condensate in the unperturbed vacuum (one with no net vacuum pressure or energy density) has a size equal to
ξ=3.13L
. This 14-sided polygon also has the unique distinction of enclosing the maximum volume for a given surface area.