Author: Dr. L. Vardien Askel
Status: Open Research Draft (v0.3)
Contact: [email protected]
This repository contains a unified operational framework for a multiscale field model coupling quantum and classical degrees of freedom. The formulation includes:
- A complete Lagrangian with local, non-local, and effective geometric terms
- Quantum and classical interacting modes
- Stochastic operational noise
- Experiment-ready parameter definitions
- Cross-platform mapping for real physical systems
The objective is to provide a reproducible, falsifiable, and scalable theoretical structure that can be tested in:
- Bose–Einstein condensates (BECs)
- High-Q optical cavities
- Superconducting transmon circuits
The repository is organized so that every component (theoretical, numerical, and experimental) can be independently verified and replicated.
text/ – Manuscript: Lagrangian, equations, definitions
numerics/ – Numerical procedures (mesh, integrators, FFT, noise)
experiments/ – Experimental ranges, calibration methods, observables
examples/ – Sample parameter sets and predicted quantities
LICENSE – License information
README.md – Overview and documentation
Each folder is self-contained and designed to support independent reproduction efforts.
- Multiscale Lagrangian formulation integrating quantum modes ( \hat{\phi}i ) with classical fields ( A\mu ).
- Operational definitions for couplings, frequencies, energies and correlations.
- Gaussian stochastic noise with experimentally accessible correlation structure.
- Non-local operators regularized for numerical implementation through Fourier-domain methods.
- Initial and boundary conditions optimized for convergence and physical consistency.
- Platform-specific experimental ranges aligned with current technology in BECs, optical resonators and superconducting qubits.
- Falsifiable predictions including frequency shifts, decoherence signatures, and multiscale correlations.
The framework includes:
- Calibration and alignment procedures
- Interferometric benchmarks
- Environmental sensitivity thresholds
- Statistical criteria and error-measurement standards
- Noise-generation workflows for simulation and experiment
These ensure that results can be cross-checked by independent groups.
See the file Dynamic_Unified_Field_Project1.md for the complete mathematical formulation of the model.
This project is currently in Open Draft phase. Future versions will include:
- Reference numerical solvers
- Benchmark datasets
- Expanded experimental protocols
- Peer-reviewed documentation
If you use or reference this work:
Askel, L. V. (2025). Unified Multiscale Field Framework. GitHub Repository.
A Zenodo DOI will be added once the first release is archived.
Constructive feedback, replication efforts, and independent analyses are welcome. Please open an issue or submit a pull request.
This draft is released for open scientific scrutiny and non-commercial academic use.
See the LICENSE file for details.
For technical questions, replication reports or collaboration inquiries:
[email protected]