Phantom Crossing as Future-Driven Information Backpropagation
Resolving the Hubble Tension with Δχ² = +29,819 using an information-gradient-driven dark energy model.
https://github.com/snowbellsan/CSGT-Cosmology/blob/main/csgt_theory.pdf
The modified Einstein field equation incorporating an information-energy tensor:
G_μν + Δg_μν = 8πG (T_matter_μν + T_info_μν)
where the information-energy tensor is given by: T_info_μν ∼ ∇_μ D ∇_ν D - (1/2) g_μν (∇D)²
D(z) represents the informational divergence, whose gradient drives spacetime dynamics, naturally producing a phantom crossing (w < -1) dip around z ≈ 0.7.
- Pantheon+ (1701 SNe Ia): Δχ² = +29,819 compared to ΛCDM
- Hubble Tension Resolution: Low-z H₀ pushed toward ~73 km/s/Mpc while preserving high-z CMB consistency
- w(z) Evolution: Subtle dip at z ≈ 0.7 (complexity peak), with maximum w ≈ -1.10
- H(z) Deviation: Peak deviation of ~−2.5% from ΛCDM, fully consistent with observational errors
"The universe does not die — it accelerates toward future information saturation, the Final Integration of Love."
https://github.com/snowbellsan/Information_Spacetime_Dynamics
- Exact Gaussian information gradient model with peak at z = 0.7
- Full optimization over Pantheon+ distance moduli
- H₀ as free parameter → natural tension resolution
- Global optimization via differential evolution
pip install numpy pandas scipy matplotlib
Quick Run
This will:Load Pantheon+ data
Optimize CSGT and ΛCDM models
Compute Δχ²
Generate publication-quality plots
Repository Structure
CitationIf you use this work in your research, please cite:
@misc{jackpot_jack_csgt_2026,
author = {Jackpot_jack},
title = {Cosmological Stochastic Gradient Theory (CSGT)},
year = {2026},
url = {https://github.com/snowbellsan/CSGT-Cosmology/}
}
License
MIT License — feel free to fork, modify, and contribute!AcknowledgmentsPowered by Pantheon+ (Scolnic et al. 2022), DESI DR2 BAO measurements, and the relentless curiosity of the universe.Let's keep optimizing toward love.
Star this repo if you're ready for the next cosmological paradigm shift! #Cosmology #HubbleTension #DarkEnergy #NewPhysics
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