Swarm Field Theory is not another unifying story. It is a unifying mathematics. Where others speculate, this framework derives physical constants from first principles.

Modern physics is often wrapped in speculation — multiverses, hidden dimensions, and exotic entities we may never observe. Swarm Field Theory takes the opposite approach. It derives familiar constants — including Newton’s gravitational constant — directly from geometry and tension, without adding layers of conjecture.

The goal is simple: make physics simpler, testable, and grounded in clear mathematics. Gravity, electromagnetism, and quantum behavior emerge from the same coherent structure — no extra dimensions required.

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: k_B, σ, a, b, T_P
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

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.

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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.