View on GitHub

Contact: [email protected]

Returning Normality to Physics

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.

Privacy

This site does not collect or store personal data, does not use cookies, and does not require login.

Traffic metrics may be provided in aggregate, non-identifying form to measure basic page views and performance.

No personally identifiable information is collected, processed, or shared. Visitors may access the site freely without consent.

Contact: [email protected]

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

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.

Open the cabinet →

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.