Simulation Lab

Computational Proof of Concept

Welcome to the Simulation Lab. This repository contains the numerical and symbolic experiments validating the core tenets of the Dynamic Background Hypothesis (DBH).

Unlike traditional “Dark Sector” models, the DBH provides the “receipts” for its claims through open-source code. From the emergence of the MOND scale to the topological origin of fermions and the unification of all fundamental forces, these notebooks bridge the gap between abstract theory and physical reality.

Research Pillars

1. Microphysics & Matter

We explore how elementary particles emerge as topological defects (vortices and hopfions) in a nematic superfluid. * Key Breakthrough: The derivation of the Berry Phase (\(\pi\)), proving the fermionic nature of vacuum defects.

2. Emergent Gravity & MOND

We derive the laws of gravitation not as fundamental postulates, but as the hydrodynamics of the vacuum. * Key Breakthrough: The analytical derivation of the MOND scale (\(a_0\)) from the vacuum’s unified potential (Action v4).

3. Spacetime Structure & Gauge Fields

We demonstrate how the “stage” of the universe—spacetime itself—and the forces that inhabit it (Electromagnetism) are collective modes of the sustrate. * Key Breakthrough: The derivation of Lorentz Invariance as a minimum energy state and Maxwell’s Equations from vacuum vorticity.

4. Nuclear Forces (SU2/SU3)

We derive the short-range interactions of the Standard Model from the braiding and rheology of the nematic vacuum. * Key Breakthrough: The derivation of the Weak Force from spinor holonomy and the first hydrodynamic visualization of Flux Tubes (Gluons) for color confinement.

5. Homeostatic Cosmology

We model the universe as a self-organized critical (SOC) system that avoids heat death through continuous recycling. * Key Breakthrough: The discovery of a Stable Attractor in the cosmic phase space and the derivation of vacuum energy from Zero-Point fluctuations.

Technical Note

Derivations are performed using SymPy for exact symbolic tensor calculus and the Split-Step Fourier Method for high-precision numerical integrations of the Gross-Pitaevskii-Poisson system.

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All Simulations