Guide
Swarm Theory Explained: A Plain Language Guide to the Unified Field Equation
Entry point for readers who want the idea before the math.
- 📄 View Online: Swarm Theory Plain Language Guide (2025)
- 📄 Zenodo: 10.5281/zenodo.17120195
Swarm Field Theory, Unified Field Equation (UFE), UFEB, derivations of physical constants, and supporting appendices. All papers are open for inspection and independent challenge.
Entry point for readers who want the idea before the math.
Coherence-based unification, full derivation.
Computationally friendlier version of UFE.
Open-access papers with full derivations and worked numerics.
This paper extends Swarm Field Theory into classical fluid dynamics by modeling fluids as coherence-supported condensates. Instead of treating turbulence as an empirical instability, the study links the transition directly to the lattice’s acoustic response limit. The result is a closed-form prediction of the critical Reynolds number using only density, viscosity, and sound speed — with no fitted parameters. The model matches observed transition thresholds in water, air, helium, mineral oil, and mercury, and explains why dissolved gases broaden the transition band. Turbulence emerges not as randomness, but as a measurable coherence failure.
📄 Zenodo: 10.5281/zenodo.17767008
This study attempted to falsify Swarm Theory by applying classical radio and optical propagation physics to its lattice-tension law. Diffraction, path loss, Fresnel zones, plasma cutoff, and scattering were evaluated with no fitted parameters. Instead of failing, the ΔI(λ) = h / (N λ c) model reproduced observed behavior across twelve orders of magnitude, converting the falsification attempt into empirical support.
📄 Zenodo: 10.5281/zenodo.17583230
This paper presents a Lagrangian derivation of the Raychaudhuri equation within Swarm Field Theory. Spacetime curvature, expansion, and collapse are reinterpreted as mechanical effects of tension and strain in a discrete coherence lattice.
📄 Zenodo: 10.5281/zenodo.17447750
Shows that a logarithmic tension profile ΔI(r) ∝ ln r naturally yields flat rotation curves and reproduces the baryonic Tully–Fisher relation without invoking dark matter.
📄 Zenodo: 10.5281/zenodo.17447603
A working tool that derives physical constants from lattice geometry, showing uncorrected vs corrected results for direct challenge.
📄 Zenodo: 10.5281/zenodo.17370099
Shows how Planck’s constant, c, α, charge, ε₀, μ₀, Boltzmann’s constant, and even gravity can be recovered from a minimal SFT basis.
📄 Zenodo: 10.5281/zenodo.17251808
Canonical DOIs for Swarm Field Theory, UFE, UFEB, and supporting derivations.
| Paper | DOI Link |
|---|---|
| Swarm Coherence and the Onset of Turbulence: A Geometric Derivation of the Critical Reynolds Number | 10.5281/zenodo.17767008 |
| Falsification Test of Swarm Theory Using Radio and Optical Propagation | 10.5281/zenodo.17583230 |
| Falsifiable Predictions from Swarm Theory: A Geometric Unified Field Framework | 10.5281/zenodo.17179259 |
| Compactification of Quantum Mechanics: Collapsing the Constants of Nature to Two Postulates and Integrating Gravity | 10.5281/zenodo.17251808 |
| Matter as Condensates of Wave Propagation | 10.5281/zenodo.17249837 |
| Plain Language Paper | 10.5281/zenodo.17120195 |
| Position Hypothesis | 10.5281/zenodo.17140887 |
| Planck’s Constant (h) | 10.5281/zenodo.17129863 |
| Fine-Structure Constant (α, Sommerfeld’s) | 10.5281/zenodo.17130007 |
| Elementary Charge (e) | 10.5281/zenodo.17141219 |
| Vacuum Permittivity (ε₀) | 10.5281/zenodo.17141112 |
| Vacuum Permeability (μ₀) | 10.5281/zenodo.17151806 |
| Vacuum Wave Impedance (Z₀) | 10.5281/zenodo.17140967 |
| Maxwell’s Equations from Coherence Geometry | 10.5281/zenodo.17180116 |
| Unified Field Equation (UFE) | 10.5281/zenodo.17118609 |
| UFEB: A Simplified Update-Based Formulation of the Unified Field Equation | 10.5281/zenodo.17159129 |
| The Gravitational Constant from Coherence Geometry: A Swarm Theory Derivation | 10.5281/zenodo.17164270 |
| Companion paper: The Gravitational Constant as a Derived Quantity from Cycle Geometry | 10.5281/zenodo.17199917 |
| Planck Scales from Coherence Geometry: A Swarm Theory Derivation | 10.5281/zenodo.17164341 |
| Electron Mass, Proton Mass, Rydberg Constant and Bohr Radius from Coherence Geometry (UFEB): A Swarm Theory Derivation | 10.5281/zenodo.17169451 |
| Boltzmann, Stefan–Boltzmann, Wien, Radiation Constant, Planck Temperature from Coherence Geometry (UFEB) | 10.5281/zenodo.17175869 |
| UFEB Development Notes with Provenance Flagging | 10.5281/zenodo.17164419 |