Published October 2, 2025 | Version Version 1 02OCT2025

Matter as Condensates of Wave Propagation: A Swarm Theory Derivation

Description

Publication List

https://orcid.org/0009-0008-2011-5602 

email me at:  jpcrumpler@swarmfieldtheory.org

ABSTRACT:  Condensates are a well-established part of modern physics. From Bose–Einstein condensates to superfluid helium, from Cooper pairs in superconductors to exciton-polariton condensates in semiconductors, the principle is the same: waves or quasi-particles can enter a collective state that is stable, quantized, and often topologically protected. In this note, we extend that concept to the vacuum itself. We treat spacetime not as a featureless background but as a two-dimensional coherence lattice, a network of tensioned membrane-planes. Waves on this lattice propagate helically; when such a wave closes on a geodesic path, it forms a persistent condensate — a trapped mode that manifests as rest mass. In this sense, matter is modeled as a condensate of wave propagation, with geometry and lattice tension determining the quantization conditions.

Analogies:

We see the principle in nature all the time: tornados, cyclones, and whirlpools are waves of air or water that fold into a stable loop. Energy that would normally pass by gets trapped and circulates. In Swarm Theory, matter is the same idea at a deeper scale — a wave in the lattice that ties itself into a closed loop and stays there as mass.

Additional Information:

Website:  https://www.swarmfieldtheory.org

GitHub:    https://github.com/crumpler4/Swarm-Theory-Unified-Field-Equation-Series

 

Files

Matter_as_Condensates_of_Wave_Propagation_copyright_Crumpler_02OCT2025_FinalforUpload.pdf

Additional details

References

  • Einstein, A. (1905). Ist die Trägheit eines Körpers von seinem Energieinhalt abhängig? Annalen der Physik, 18, 639–641.
  • Planck, M. (1901). Über das Gesetz der Energieverteilung im Normalspektrum. Annalen der Physik, 4, 553–563.
  • Compton, A. H. (1923). A Quantum Theory of the Scattering of X-rays by Light Elements. Physical Review, 21(5), 483–502.
  • Berry, M. V. (1984). Quantal Phase Factors Accompanying Adiabatic Changes. Proc. R. Soc. Lond. A, 392(1802), 45–57.
  • Crumpler, J. P. (2025)Swarm Theory appendices (GE series, EM reductions): Preprint Publication Pending
  • Crumpler. J. P. (2025) GitHub Repository https://github.com/crumpler4/Swarm-Theory-Unified-Field-Equation-Series