Swarm Field Theory
A modest, math-first framework for unification in physics
Swarm Field Theory models real space as a lattice of tension-bearing membranes stretched between zero-nodes. From this simple geometry, fundamental constants — including Planck’s constant (h), the fine-structure constant (α), the speed of light (c), the elementary charge (e), the gravitational constant (G), and others — emerge directly from first principles.
Swarm Field Theory proposes that real space is formed by membranes around zero nodes, and that waves propagate helically. Learn more about the geometry →
The Geometry
Space is treated not as empty volume but as a woven array of two-dimensional membranes anchored at zero-nodes. These sheets intersect at fixed angles and carry tension, forming a real yet massless scaffold. Disturbances travel as helical waves bound by membrane tension and node spacing. Quantization arises from discrete apertures in the lattice; energy, momentum, and phase follow from geometry and boundary conditions.
What Falls Out (from geometry alone)
- Electromagnetic set: h, α, e, ε₀, μ₀, Z₀, c
- Gravitational: G; Planck family (mₚ, ℓₚ, tₚ, Eₚ)
- Thermal: kB, σ, a, b, TP
- Atomic touchstones: R∞, a₀ (with noted mass inputs)
The Simplification (UFEB)
The Unified Field Equation, Budget form (UFEB), replaces continuous time with discrete updates. Each update is a reconciliation of lattice-tension budgets — like closing a balance sheet. The lattice shares a universal response interval (τ), but consequences still propagate locally at finite speed (c), preserving relativity.
“We measure progress in steps, not seconds.”
Publications
Featured Papers
- Plain Language Paper
DOI: 10.5281/zenodo.17120195 - Unified Field Equation (UFE)
DOI: 10.5281/zenodo.17118609 - UFEB: Update-Based Formulation
DOI: 10.5281/zenodo.17159129
Open-access papers with full derivations and worked numerics:
Numbers That Work
Swarm Field Theory derives fundamental constants directly from geometry, matching CODATA values without curve fitting.
| Quantity | CODATA (SI) | SFT (derived) | Paper |
|---|---|---|---|
| Planck’s constant, h | 6.62607015×10⁻³⁴ J·s (exact) | 6.6264×10⁻³⁴ J·s | DOI |
| Fine-structure constant, α | 7.2973525693×10⁻³ | 7.2973×10⁻³ | DOI |
| Elementary charge, e | 1.602176634×10⁻¹⁹ C (exact) | 1.6022×10⁻¹⁹ C | DOI |
| Vacuum permittivity, ε₀ | 8.8541878128×10⁻¹² F·m⁻¹ | 8.854×10⁻¹² F·m⁻¹ | DOI |
| Vacuum permeability, μ₀ | 1.25663706212×10⁻⁶ H·m⁻¹ | 1.257×10⁻⁶ H·m⁻¹ | DOI |
| Gravitational constant, G | 6.67430×10⁻¹¹ m³·kg⁻¹·s⁻² | 6.6743×10⁻¹¹ m³·kg⁻¹·s⁻² | DOI |
🗂️ The File Cabinet of Regret
A selection of humorous and weird questions some of which have actually been asked.
About
John Paul Crumpler, PE, is a licensed professional engineer with 46 years of experience in applied research, machine design, energy systems, and theoretical physics. He has authored numerous trade articles, technical reports, and fact sheets; taught continuing-education courses for engineers; and lectured at the University of Georgia (PhD bioengineering cohort). He has also advised undergraduate students in energy systems at Georgia Tech and the University of Virginia.