Swarm Theory: The Position Hypothesis

Abstract

This paper presents the Swarm Theory Position Hypothesis: a unified framework in which space, time, and matter emerge from lattice coherence. In conventional physics, spacetime is treated as a smooth continuum and fundamental constants are defined independently. In this framework, real space is a woven geometry of coherence membranes, zero nodes, and helical wave propagation, from which quantization and physical constants arise.

Key results:

• Geometric foundation: Real space emerges as a lattice of intersecting membranes, with zero nodes defining structural boundaries.
• Unified constants: Planck’s constant (h), the fine-structure constant (α), elementary charge (e), vacuum permittivity (ε₀), vacuum permeability (μ₀), and vacuum wave impedance (Z₀) all derive from coherence geometry.
• Implication: Gravity, inertia, and electromagnetism follow as emergent properties of the same lattice structure, enabling a unified field equation.

This hypothesis reframes fundamental physics: constants, forces, and quantization are shown to be geometric consequences of lattice coherence, not arbitrary inputs.