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.

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

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 — 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.

Temporal Equivalence Principle: Suppressed Density Scaling in Globular Cluster Pulsars — 199 cluster vs 351 field millisecond pulsars show a +0.61 dex controlled spin-down residual (5.8σ) and suppressed density scaling (Γ=0.39±0.08 vs Newtonian 0.72), while 20-cluster CMC N-body realizations overpredict the excess by 3.2× (8.6σ).

Temporal Topology Saturation Scale: Cross-Scale Consistency of ρ_T — GNSS-anchored saturation density ρ̂_T = 19.59 ± 1.10 g/cm³ across 5 independent channels (look-elsewhere p = 2.9×10⁻⁴), zero-parameter SPARC radial-acceleration fit on 175 galaxies / 3,389 radii (0.1330 dex RMS), brown-dwarf 1.15 hr period floor, and RBH-1 horizon crossover.