DUT General Relativity Simulator v4.0: Non-Singular Geometry and the Formal Continuation of Einstein's Relativity in Post-Singularity Cosmology

Author: Joel Almeida
ExtractoDAO S/A, Scientific Research Division
ORCID: 0009-0003-4015-7694
Email: j.almeid@extractodao.com

Abstract 

This work presents version 4.0 of the DUT Quantum Simulator, a predictive cosmological framework grounded in a non-singular continuation of General Relativity. Developed within the Dead Universe Theory (DUT), the simulator mathematically anticipates the discovery of gravitationally fossilized galaxies with redshifts z > 15, beyond the predictive range of the ΛCDM model. Through regularized curvature modeling and entropy-gradient geodesics, the DUT reproduces the emergence of large-scale structure without invoking inflation, dark energy, or singularities. The simulator predicts the existence of Stellar Remnant Domains (SRDs)—massive, low-entropy galaxies formed within 200 million years after the cosmic inflection point—that are likely to be detected by JWST, Roman Space Telescope, and ELT by 2030. Equipped with a built-in self-refutation module capable of rejecting its own predictions in light of contradictory observations, the simulator embodies a paradigm shift in falsifiability. Rather than diverging from Einsteinian physics, the DUT formalism extends it into a continuous, horizon-free geometry. This platform represents both a computational tribute to Einstein’s legacy and a bold mathematical step toward a post-singularity cosmology.

Keywords: 

Dead Universe Theory (DUT); General Relativity; non-singular cosmology; high-redshift galaxies; Stellar Remnant Domains (SRDs); entropy-gradient geodesics; gravitational fossilization; falsifiability module; post-singularity universe; DUT Quantum Simulator.

1. Introduction

This study presents the latest version (v4.0) of the DUT Quantum Simulator, a predictive cosmological framework based on a non-singular extension of General Relativity. Developed within the theoretical foundation of the Dead Universe Theory (DUT) [1], the simulator introduces a consistent mathematical approach to simulate cosmic structures without requiring inflation, dark energy, or singularities. The DUT framework integrates regularized curvature potentials and entropic gradient geodesics [2][7], allowing gravitational evolution to be traced beyond classical singular points.

If your research focuses on advanced quantum physics, dark biology, or novel frameworks such as the Quantum Gravitational Mirror Experiment, we recommend starting with the DUT Quantum Simulator — a foundational computational platform for entropy-based cosmology and gravitational asymmetry.

Download DUT Quantum v5.0: https://zenodo.org/records/15871836

After mastering this simulation environment, researchers can deepen their studies with a second, complementary module designed to model non-singular gravitational fields within a General Relativity framework.

2. Methodological Innovations: Falsifiability, Fossil Dating, and Star Formation Metrics 

The simulator implements a unique falsifiability module based on entropic gradient analysis. This algorithm continuously tests theoretical predictions against observational datasets (e.g., JWST, ELT, Roman), invalidating DUT forecasts when deviations exceed empirical tolerance. This innovation ensures that the simulator operates within a scientific framework of self-consistency and testability [2].

Additionally, the simulator employs a Cosmic Fossil Record Dating method, using entropy values and geodesic curvature to estimate the age of stellar remnants and predict the thermodynamic endpoint of structure formation. This technique allows the DUT to bypass ΛCDM assumptions about cosmic expansion, offering an independent framework to date the loss of usable energy in the universe.

The simulator also includes a module for analyzing declining star formation rates. The birthrate decay function , where is entropy-modulated, allows the DUT to simulate stellar formation histories in closed cosmologies.

Numerical integration across all modules is performed using the Runge-Kutta 4th-order (RK4) method, ensuring stable, high-precision evolution of geodesics, energy density flows, and thermodynamic variables over cosmological timeframes.

3. Predictive Capability and Observational Alignment 

The simulator forecasts the existence of compact fossilized galaxies at redshifts z > 15, which lie beyond the explanatory scope of the standard cosmological model [6]. These predicted structures, designated as Stellar Remnant Domains (SRDs), are theorized to have formed less than 200 million years after the cosmic inflection point. They are characterized by high mass, low entropy, and gravitational stabilization, making them observable targets for the upcoming missions of the Roman Space Telescope, the ELT, and the extended programs of JWST by 2030 [6].

4. Non-Singular Geometry and Gravitational Core Modeling

 The simulator employs a continuous metric with no event horizon, allowing the modeling of gravitational cores and geodesic flows across curvature regimes that would traditionally be inaccessible due to singularities [2][5]. These non-singular geometries are generated via a regularized gravitational potential derived from DUT field equations, enabling robust analysis of relativistic structure formation [1][7-8].

5. Self-Refutation Module

 A unique feature of the DUT Simulator is its built-in self-refutation module. This system can algorithmically reject its own predictions if incoming astronomical data are found to contradict the simulator's entropic-evolutionary trajectory [2]. This capability ensures falsifiability and scientific integrity, distinguishing the DUT Simulator from traditional cosmological engines that lack epistemological verification mechanisms. [10][11]

6. Legacy of Einstein and Beyond

 Far from deviating from Einsteinian principles [4], the DUT Simulator formalizes the continuation of General Relativity into the post-singularity domain, offering a natural endpoint to gravitational dynamics where curvature, entropy, and mass evolve coherently [5][8]. It provides a modern computational homage to Einstein's vision while proposing a bold alternative cosmological trajectory for the universe.[10][11]

7. Conclusion Version 4.0 of the DUT General Relativity Simulator sets a new standard for cosmological modeling by combining non-singular geometries, falsifiability logic, and predictive structure formation [1][2]. It aligns with observational frontiers and challenges prevailing assumptions in high-redshift galaxy formation. As an open and decentralized scientific tool, it is ready to confront empirical scrutiny and to drive new paradigms in theoretical cosmology. [10][11]

8. References

[1] Almeida, J. (2025). DUT Quantum Simulator: Non-Singular Geometry and the Continuation of the General Relativity of Albert Einstein – v3.0. The only theory with a self-refutation code and automatic validation in modern cosmology. Zenodo. https://doi.org/10.5281/zenodo.15763528

[2] Almeida, J. (2025). DUT Structural Core Simulator: Computational Model for Gravitational Nucleus Dynamics in the Dead Universe Theory Framework – v4.0. Zenodo.https://zenodo.org/records/15751603 

[3] Labbe, I., et al. (2023). A population of red candidate massive galaxies ~600 Myr after the Big Bang. Nature, 616, 266–270. https://doi.org/10.1038/s41586-023-05786-2

[4] Einstein, A. (1916). Die Grundlage der allgemeinen Relativitätstheorie. Annalen der Physik, 354(7), 769–822.

[5] Penrose, R. (1965). Gravitational Collapse and Space-Time Singularities. Physical Review Letters, 14, 57.

[6] JWST Science Team. (2024). High-z Galaxy Survey. NASA Reports.

[7] Susskind, L. (1995). The World as a Hologram. Journal of Mathematical Physics, 36, 6377. https://doi.org/10.1063/1.531249

[8] Wald, R. M. (1994). Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics. University of Chicago Press.

[9] Almeida, J. (2025). DUT Quantum: The Computational Framework Enabling 180-Billion-Year Cosmological Simulations and Predicting High-Redshift Galaxies (z > 15). Preprints.org. https://www.preprints.org/manuscript/202507.0708/v1

[10] Almeida, J. (2025). Preprint 1.0: JWST High-z Galaxies in the Dead Universe Theory (DUT) Cosmological Framework. Research Square. https://doi.org/10.21203/rs.3.rs-6952094/v1

[11] Almeida, J. (2025). Cosmology da The Dead Universe Theory (DUT): The Dead Universe Theory (DUT) and the Asymmetric Thermodynamic Retraction of the Cosmos. Global Journal of Science Frontier Research (GJSFR-A), 25(3). https://globaljournals.org/GJSFR_Volume25/3