Theory of the Porous Structure of the Universe - TEPU

Summary of Content This paper introduces the Theory of the Porous Structure of the Universe (TEPU), a speculative cosmological model that generalizes the standard Λ$CDM model. It postulates the existence of **"Aneumata"**—fundamental cavities where spacetime and physical laws do not exist. Using a scalar porosity field ($ψ and Israel junction conditions, TEPU addresses current cosmological tensions (e.g., dark matter-deficient galaxies, the Hubble tension, and extreme voids like Boötes and KBC) by proposing that ordinary matter accumulates at the boundaries of these voids, effectively mimicking dark matter. Context and Purpose Created as an independent research paper in speculative cosmology, this document provides a mathematical and conceptual framework to test the existence of absolute cosmic voids. It aims to stimulate academic discourse and guide future observational searches using next-generation instruments (e.g., Euclid, Nancy Grace Roman Space Telescope). Document Structure Conceptual Framework: Defines Aneumata, the "cosmological cuticle" (boundary), and nucleation thresholds. Mathematical Model: Details porosity field dynamics (Allen-Cahn equation), effective density, and the extended energy-momentum tensor. Observational Signatures: Outlines falsifiable predictions, including anomalous gravitational lensing and CMB polarization. Critical Discussion: Evaluates internal coherence, compatibility with known physics, and current limitations. Instructions for Use Target Audience: Researchers, physicists, and enthusiasts in theoretical and speculative cosmology. How to Read: Approach TEPU as a phenomenological and effective field theory model rather than a final quantum gravity derivation. Citation: If you utilize the terminology introduced in this work (e.g., Aneumata, Cosmological Cuticle, Porosity Field), please cite this Zenodo record.