What question did this study set out to answer?

To recover Maxwell's equations using the dynamics of Planck-scale foam in the infrared limit.

March 19, 20260 citationsOpen Access

Maxwell's Equations Recovered from Foam Dynamics

Key Points

To recover Maxwell's equations using the dynamics of Planck-scale foam in the infrared limit.
Developed relations based on the foam wave equation and displacement dynamics.
Utilized a covariant description to connect foam behavior to electromagnetic fields.
Derived Maxwell's equations from D-mode displacement without introducing new parameters.
All four Maxwell's equations are successfully recovered from foam dynamics.
No new parameters beyond cell geometry were necessary.
Indicated that Lorentz invariance's emergence remains unresolved.

Abstract

All four Maxwell equations are recovered as the covariant description of D-mode displacement dynamics in the Planck-scale foam, in the infrared/continuum limit. The foam is a pre-electromagnetic mechanical substrate; electromagnetism emerges from it. Chain: Axiom Zero (B+V=D) → foam wave equation □ψ=0 → vector potential A_μ = D-mode → field tensor F_μν = ∂⏛A⏜ → all four equations (Gauss, Faraday, Ampère-Maxwell, no-monopole law). Zero new parameters beyond the cell geometry. The result assumes covariance holds in the continuum limit; the emergence of Lorentz invariance from Oₕ symmetry remains an open problem.

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