modified-gravity

A collection of research notebooks in *cosmology*.

Spectral Causal Theory: derivations, verification, analysis, and publications.

Hamiltonian Gauge Gravity Surveyor (HiGGS). Tools for Hamiltonian constraint, canonical and Dirac-Bergmann analysis of gravity theories with spacetime curvature and torsion.

Cosmological analyses of f(R) theories using MCMC

Constructs neutron star models in the context of regularized 4D Einstein-Gauss-Bonnet gravity, using the KEH/CST numerical scheme.

Source code for the article PhysRevD.105.123531 entitled "Forecasting F(Q) cosmology with ΛCDM background using standard sirens".

Hamiltonian Gauge Gravity Surveyor (HiGGS). Tools for Hamiltonian constraint, canonical and Dirac-Bergmann analysis of gravity theories with spacetime curvature and torsion.

Global Time Echoes: Raw RINEX Consistency Test — Independent replication of GNSS clock correlations from raw RINEX data, confirming that distance-structured TEP signatures persist across independent processing pipelines.

Constructed for the study of viable dark energy f(R) models and the extraction of the expected enhancement or suppression of gravitational waves.

5D Gauss-Bonnet braneworld solution with holographic transfer function. First-principles derivation complete; observational test shows S₈/Lyman-α incompatibility. Falsification analysis published.

Code for emulating f(R) modified gravity simulations from ΛCDM simulations using a BicycleGAN

This repository contains the Wolfram Mathematica notebooks I developed during the research for my Diploma Thesis at the School of Physics, Faculty of Sciences, A.U.Th. The Diploma Thesis is a part of a broader research, which can be found at arXiv 2105.11935. My Diploma Thesis is provided as a supplement attached to this repository.

The Soliton Wake: Exploring RBH-1 as a Temporal Topology Candidate — RBH-1 runaway black hole as Temporal Topology soliton candidate, explaining the 650 km/s velocity discontinuity with cold gas via metric shock. TEP calibration: R_T≈7.8×10⁷ km from GNSS.

A minimal scalar relaxation model for cosmology—no Big Bang, no dark energy, just one slow wave on an eternal lake.

The ACM Trunk: a rigid holographic framework for galactic dynamics. This repository provides the core analytical engine for predicting galaxy rotation behavior from baryonic distributions via linear holographic screening. Tagline No galaxy-by-galaxy fits. No hidden knobs. Just the physics of the background floor.

A quick code that not only describes how the inflationary era is studied, but also manages to generate a blue tilted tensor spectral index through fine tuning.

Temporal Topology Saturation Scale: Cross-Scale Consistency of ρ_T — Universal critical density ρ_T ≈ 20 g/cm³ from R ∝ M^(1/3) scaling, GNSS-calibrated and validated across SPARC galaxies, Milky Way, and magnetars. Temporal Topology screening reconciles galactic dynamics with GR tests.

Deterministic reproducibility capsule for GIFT Paper 1. Reproduces the deep-regime scaling and normalization of the RAR and BTFR from the SPARC dataset using fixed-slope ODR fits. Code, derived data, and verification figures included. Archived snapshot: Zenodo DOI 10.5281/zenodo.18513729.

The ReactiveCosmoMapper is a computational engine designed to verify the Entropic Gravity hypothesis (Erik Verlinde) against observational data.

Temporal Equivalence Principle: Suppressed Density Scaling in Globular Cluster Pulsars — Globular cluster pulsar spin-down anomaly: 197 cluster vs 346 field pulsars show 0.40 dex residual (8.3σ). Suppressed density scaling (Γ=0.39±0.08 vs Newtonian Γ=0.72, 4.1σ) tests the TEP observable response coefficient κ_MSP.