A unified topological approach to reality: From the Cosmic Paraboloid to the Space-Time Particle.
By Christian Eschalier
The Universe is not a homogeneous sphere, but an expanding paraboloid of revolution. This shape imposes a unique focal point: the Great Attractor.
Space-time is a physical fabric of Einstein-Rosen bridges (wormholes). The observed "Cosmic Web" is the very structure of this network.
Matter is not added to space. A particle is a stable topological knot defined by: Curvature (Mass), Torsion (Charge), Vibration (Quantum).
Continuous recycling of matter: Black Holes are inputs, White Holes are outputs. End of the thermal death of the Universe.
No Dark Matter (particles) or Dark Energy (fluid). These are emergent effects of the curvature and tension of the network.
System of 5 coupled equations (Supplementary Report N°4) describing the genesis, stability, and dynamics of the network.
Defines the numerical density of bridges as a fossilization of stretched Wheeler foam.
$$ n_{net}(t) = \eta \cdot \left( \frac{L_H(t)}{\ell_P} \right)^3 \cdot e^{3N_{inf}} $$Inequality ensuring wormhole throat openness via Casimir pressure.
$$ a \ge a_{crit} = \sqrt[3]{\frac{30 c^3 \kappa G \hbar}{\pi^3}} $$Modification of Einstein's tensor including static curvature and porosity flux.
$$ G_{\mu\nu} + \Lambda_{eff}(n_{net})g_{\mu\nu} = \frac{8\pi G}{c^4} \left( T_{\mu\nu}^{baryonic} + T_{\mu\nu}^{curvature} + T_{\mu\nu}^{nano} \right) $$Quantifies energy escaping laterally from the network (quantum leaks).
$$ F_{diff}(r) = \Phi \cdot \epsilon_{nano} \cdot \int_V \rho_{BH}(r') \dot{m}_{acc}(r') dV' $$The Hubble constant varies according to the local network density traversed by the observation.
$$ H_0(\hat{n}) = H_{fond} \left[ 1 + \delta_H \cdot \int_0^D (n_{net}(r, \hat{n}) - \bar{n}_{net}) dr + \alpha \Phi_{moy}(\hat{n}) \right] $$Access the complete collection of technical reports, mathematical proofs, and observational analyses on the official Zenodo repository.
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