Quantum Cymatics – Resonance Geometry Simulations

This repository contains numerical experiments related to the paper:

"Quantum Cymatics: Revealing Electron Resonance Geometry via Vacuum–Acoustic Coherence Mapping"

The code provides simple 3D simulations of model resonance geometries:

• Toroidal resonance
• Helical resonance
• DLSFH-like (dodecahedral) multi-shell resonance

and computes basic observables:

• Energy density
• Current density
• Far-field angular pattern (via 3D FFT)

Installation

git clone <your_repo_url>.git
cd quantum-cymatics-sim
python -m venv venv
source venv/bin/activate   # on Windows: venv\Scripts\activate
pip install -r requirements.txt

Running Simulations

Basic usage:

python main.py --geometry torus
python main.py --geometry helix
python main.py --geometry dlsfh

Options:

python main.py --geometry torus --N 64 --R0 0.7 --sigma 0.15 --m 1
python main.py --geometry helix --N 64 --R0 0.6 --sigma 0.12 --m 1 --kz 2.0
python main.py --geometry dlsfh --N 64 --r0 0.7 --sigma 0.1

The script will:

• Generate a 3D complex field psi(x,y,z) for the chosen geometry
• Compute energy and current densities
• Compute a far-field pattern using a 3D FFT
• Save plots in ./output/ as PNG files

Files

• grid.py: 3D grid creation (dimensionless coordinates scaled to λ̄_C = 1)
• geometries.py: model resonance fields (toroidal, helical, DLSFH-like)
• observables.py: energy density, current density, far-field angular map
• main.py: command-line driver to run simulations and produce plots

This code is a numerical toy model consistent with the conceptual framework of the paper, not a full physical SGCV–MC solver.