Cyclic Gravitational Universe as Expansive and Regressive Time

This paper introduces a novel, non-singular alternative Theory of Everything (ToE) predicated on a cyclic, self-feeding toroidal universe characterized by a horizontal figure-eight (∞) geometric manifold. We challenge the standard linear-expansion paradigm by formalizing cosmic time not as an independent, monotonically increasing coordinate, but as a dynamical, composite variable inextricably coupled to localized mass-energy, angular velocity, and macroscopic gravitational potentials. By enforcing strict dimensional analysis, we derive the Fundamental Equation of State for time, defining it as an intrinsic cycle period τ. Furthermore, this framework deconstructs the universal flux into five distinct, vector-controlled temporal phases dictated by centripetal and centrifugal balance zones. Additionally, we integrate Nikola Tesla’s paradigm of energy, frequency, and vibration into the macroscopic dynamics, proving that cosmic systems are structurally governed by vibrational resonance. Finally, we contextualize regional deep-space anomalies, reinterpreting the Great Attractor not as an absolute cosmic center, but as a regional fractal manifestation of systemic macroscopic contractile escoamento. ### TECHNICAL REPOSITORY UPDATE: COMPUTATIONAL SIMULATION ENGINE **Alternative Identifier / Manuscript Reference:** CQG-117761 (Submitted to Classical and Quantum Gravity)**Author:** Carlos Alberto Garcia de Paulo**Affiliation:** Independent Researcher**ORCID:** https://orcid.org --- #### TECHNICAL OVERVIEWThis repository update introduces the formal computational architecture, algorithmic script, and high-resolution graphical outputs developed to numerically validate the Fundamental Equation of State for Cosmic Time (τ) within a non-singular, cyclic, double-toroidal universe framework. This asset serves as a live technological appendix to the comprehensive manuscript currently undergoing formal peer review under Manuscript ID: CQG-117761. #### DESCRIPTION OF REGISTED ASSETSThis update appends three critical technical files to the historical record, ensuring full replicability and empirical grounding of the macro-vortex hypothesis: 1. simulador_universo_toroidal.py (Algorithmic Code): A standalone Python script utilizing the SciPy integration module (solve_ivp) to solve the coupled non-linear differential equations governing macroscopic centrifugal and centripetal gravitational-hydrodynamic flux along a horizontal figure-eight (∞) manifold. 2. Figura_1_Geodesica_Toroidal_Alta_Resolucion.png (High-Resolution Scatter Plot): A 300 DPI multi-dimensional coordinate mapping executing step-by-step vector tracking of a cosmic mass packet. The plot visualizes the dynamic scaling of the temporal footprint (τ), demonstrating maximum temporal compression (high-frequency spectrum) within the central zero-point core and structural temporal dilatation at the outer curvature inflexion loops. 3. Figura_2_Evolucion_Tau_Eras_Alta_Resolucion.png (High-Resolution Line Graph): A high-definition logarithmic evolution graph plotting the continuous oscillatory feedback loop of the universal temporal cycle across the 5 distinct designated cosmic states. #### EMPIRICAL CONTROL VALIDATIONThe underlying simulation model explicitly re-verifies the strict dimensional analysis and numerical ratio assessments presented in the core paper, anchoring the theoretical framework over known planetary boundary conditions:- Jovian Boundary Layer Ratio: Structural contraction to ≈ 1.01 × 10^13 m² s⁻¹ driven by rapid rotational angular velocity (ω).- Venusian Boundary Layer Ratio: Structural expansion to ≈ 1.80 × 10^14 m² s⁻¹ driven by a near-stalled rotational vector. This multi-method verification bridge confirms that the mathematical structure behaves exactly as predicted by the macroscopic toroidal hypothesis, reinforcing the resilience of the theory against standard linear expansion models. **Keywords:** Theoretical Physics, Cosmology, Toroidal Universe, Cyclic Space-Time, Numerical Relativity, Computational Simulation, Nikola Tesla Resonance.