modified-gravity

A collection of research notebooks in *cosmology*.

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

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

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".

Global Time Echoes: Raw RINEX Consistency Test — Multi-GNSS raw-RINEX Single Point Positioning across 539 stations (1.17B pair-samples): pure annual harmonic dominance (A_1/A_2 ≈ 3.98) phase-locked to perihelion, >5.5× equinoctial artifact suppression, and dual-frequency ionospheric persistence (r = −0.416, 2.5σ).

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

5D Gauss-Bonnet braneworld with holographic transfer function. First-principles derivation complete. Observational test reveals S₈/Lyman-α incompatibility. Theoretical analysis shows equivalence principle violation. Falsification published.

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

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

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

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 — Forced spherical boundary-value solve on the two-branch kinetic sector (k=16.03) for the RBH-1 runaway black hole wake (z≈0.96), placing the exterior shear-recovery radius at R_s=√(GM/g_t)≈90 pc with 3.28×–32.8× shear enhancement and cold-gas Jeans collapse.

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.

The Mount Wilson Paradigm: Restoring the Eternal Universe via the Temporal Equivalence Principle — Proves the Mount Wilson Equivalence Theorem on a static spatial background and synthesizes two-branch kinetic screening (k=16.03), SPARC rotation curves, and unstretched-space ADM optical refraction without dark matter or spatial expansion.

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.

Zero-Parameter Covariant DBI Spacetime Metric (LambdaTSM): CLASS v3.4.0 Boltzmann C-Source Modifications, 5-Parameter Planck 2018 MCMC, and SPARC/SLACS/CLASH Reproducibility Suite.

Motor computacional criado para verificar a hipótese da Gravidade Entrópica através de dados observacionais em múltiplas escalas cosmológicas.