A Dimensionless Matter-Dynamics Comparison in Sodium BoseEinstein Condensates Observation, Assumption, and the EMDI-U Analysis of Matter-Side and Light-Side Slowing under the SP3 Hypothesis

James E Beecham

Published Jul 3, 2026• 0 citations

Abstract

Slow-light experiments in sodium Bose-Einstein condensates demonstrate that electromagnetic group velocitycan be reduced by approximately seven orders of magnitude relative to light in vacuum. Separately, the sodiumatoms in the same class of coherent condensate environment exhibit an extraordinary matter-sidetransformation: thermal motion is reduced, momentum-space occupation narrows, phonon propagation is slow,independent particle trajectories are suppressed, and a macroscopic fraction of the atoms occupy a singlecoherent quantum state. The central purpose of this paper is to separate direct observation from interpretiveassumption. Conventional physics explains slow light through electromagnetically induced transparency andcoherent atom-light coupling, and it explains condensate matter dynamics through established quantum gastheory. The Space-Phase (SP3) hypothesis proposes a different interpretive possibility: that both energy-side andmatter-side reductions may reflect conditioning of a common Faraday-Maxwell medium. To compare thesedomains without assuming the correctness of either interpretation, this paper defines a dimensionless normalizedEffective Matter Dynamics Index Unit (EMDI-U). EMDI-U is computed on a logarithmic scale by comparingan effective matter-dynamics suppression index with the independently measured optical slowing factor. Using aconservative matter-side suppression range of approximately 10^6 to 10^8 and an optical slowing factor ofapproximately 1.8 x 10^7, the EMDI-U interval is approximately 0.83 to 1.10, with unity representing equalitywith the light-side reduction. The result does not prove SP3. It does, however, identify a striking quantitativeconvergence: when matter dynamics are evaluated as multidimensional dynamical freedom rather than onedimensional speed alone, the matter-side reduction and light-side slowing occupy the same range. Thisconvergence justifies a formal experimental program to test whether the two domains co-vary under controlledchanges in condensate conditioning.

DOI: 10.5281/zenodo.21145391

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