Quantum-Corrected Cosmological Perturbation Solver
Live TRY
https://qcuas-quantum-cosmology-astrophysics-unified-suite.streamlit.app/
or
Beta
https://qcaustfordmodel.streamlit.app/
License: Dual
🔬 Overview
A complete computational framework for cosmological perturbation theory with first-principles quantum corrections. This package implements:
Quantum-corrected Mukhanov-Sasaki equations with backreaction from quantum fields
Full Boltzmann integration with quantum scattering terms
Tensor perturbations (gravitational waves) with quantum sources
Integration with CLASS/CAMB for validation
Planck 2018 data validation with Bayesian evidence computation
Production-ready pipeline for cosmological parameter constraints
🚀 Features
Core Physics
Quantum stress-energy perturbations using Schwinger-Keldysh formalism
Bunch-Davies & α-vacuum initial conditions with quantum corrections
Renormalization schemes: adiabatic (4th order),
Features
- 📜 License Dual License Structure This software is available under two distinct licenses: Academic/Non-Commercial License (FREE) For: Academic researchers, students, non-profit organizations Permissions: Free use, modification, and distribution Use in academic research and publications Classroom and educational use Requirements: Cite the original work in publications No commercial use allowed Personal Commercial License (REQUIRED) For: Companies, commercial organizations, for-profit use Requirements: License required for any commercial use Contact: Tony E. Ford - 📧 tlcagford@gmail.com Commercial licensing terms negotiated individually Usage Rights Summary Use Case License Required Cost Academic Research No FREE University Teaching No FREE Personal Projects No FREE Commercial Product YES Negotiable Corporate R&D YES Negotiable SaaS Integration YES Negotiable
- This Quantum-Corrected Cosmological Perturbation Solver is a high-fidelity numerical framework that bridges the gap between Semi-Classical Gravity and Observational Cosmology. Unlike standard solvers (like CLASS or CAMB) which assume a purely classical background for perturbations, this suite treats the vacuum as a dynamical participant. Below is a detailed functional evaluation of the suite’s core components. 1. Background Evolution Engine (_compute_lcdm_background) The foundation of the suite is a modified Friedmann solver. The "Quantum Hook": It doesn't just solve for , CDM, and Radiation; it injects a Quantum Energy Density ( ) derived from vacuum fluctuations. Backreaction Logic: By including in the Hubble expansion rate , the suite accounts for how quantum fields alter the expansion history. This is the primary mechanism for addressing the Hubble Tension, as it allows for a modified Sound Horizon ( ) at the time of recombination. 2. Scalar Perturbation Module (solve_scalar_perturbations) This module evolves the seeds of large-scale structure ( ). Newtonian Gauge Dynamics: It solves the coupled Einstein-Boltzmann equations in the Conformal Newtonian Gauge. Quantum Source Terms: It implements . Specifically, it calculates how quantum stress-energy perturbations provide an additional source or damping for the gravitational potential . Anisotropic Stress: Unlike standard GR where in the absence of massive neutrinos, this solver allows due to quantum field anisotropic stress—a key signature for testing Modified Gravity. 3. Tensor Perturbation Solver (solve_tensor_perturbations) This handles the "Primordial Gravitational Wave" (PGW) sector. Dynamical Sourcing: It evolves the wave equation . In standard models, . Here, the Quantum Anisotropic Stress ( ) acts as an active source. Observational Output: It generates the tensor power spectrum , allowing the user to predict the Tensor-to-Scalar ratio ( ). This is crucial for verifying if the quantum corrections produce -modes detectable by BICEP/Keck. 4. Quantum-Boltzmann Hierarchy (QuantumBoltzmannSolver) The most computationally intensive part of the suite, bridging perturbations to the CMB. Line-of-Sight Integration: It solves the Boltzmann hierarchy for photons, neutrinos, and baryons. Quantum Scattering: It modifies the standard Compton scattering rate with quantum-corrected cross-sections. This affects the "thickness" of the Last Scattering Surface, directly impacting the damping tail of the CMB power spectrum. Polarization (E and B modes): It tracks the polarization generated by quadrupole anisotropies, providing the "smoking gun" for quantum effects in the early universe. 5. Statistical & Power Spectrum Suite (_compute_scalar_power_spectrum) This translates raw mode evolution into the statistical language of cosmology. Transfer Functions: It computes , showing how quantum pressure suppresses or enhances growth at different scales. Cosmological Metrics: (Spectral Index): Checks if the model remains consistent with the nearly scale-invariant Planck data. (Clustering): Directly addresses the Tension by calculating matter clustering at . Sigma-8 Windowing: Uses a Top-hat window function to normalize the matter power spectrum, allowing for direct comparison with Weak Lensing surveys (DES, KiDS). 🛠Functional Strengths & Research Value Strength Impact First-Principles Corrected Moves beyond "curve-fitting" to provide a physical QFT basis for cosmological tensions. Multi-Messenger Links CMB (Photons), LSS (Matter), and GWs (Tensors) into a single consistent framework. Validation-Ready Designed to export data to HDF5, making it compatible with the standard Monte Carlo chains used in the field.
- https://qcuas-quantum-cosmology-astrophysics-unified-suite.streamlit.app/
- Live Beta Test: https://qcaustfordmodel.streamlit.app/