Matter as Condensates of Wave Propagation: A Swarm Theory Derivation
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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
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References
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- 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