CPQ Field Theory — Applications: From Empty Matrix to the Standard Model and Chemistry and to Cosmology (Books 01–03)

This work presents Books 01, 02, and 03 of the CPQ (Spacetime Quanta) framework — a unified approach based on four axioms describing a discrete elastic spacetime matrix with two degrees of freedom: shape excitation (ΔT) and volume excitation (ΔV). Book 01 explores how classical and quantum physical laws can emerge from this underlying structure. In this setting, key relations such as Maxwell’s equations, Einstein’s field equations, and elements of quantum mechanics (including Schrödinger and Dirac equations) arise as effective descriptions of excitations in a common medium. Book 02 develops a topological description of matter. Particles are interpreted as stable configurations (defects) of the matrix, grouped into three classes: propagating twist (k = 1/2, neutrino), closed loop (k = 1, charged lepton), and Borromean-type structures (k = 3, baryon). Within this framework, several quantitative relations are obtained, showing agreement with known experimental values at the percent level (e. g. mass ratios, magnetic moments, and neutrino splittings). The same approach extends naturally to atomic structure, molecular geometry, and aspects of chemical periodicity. A dedicated chapter introduces a Hopfion-based formulation, relating charge, spin, and mass to topological invariants. Book 03 applies the framework to cosmology without introducing dark matter, dark energy, or inflation as independent components. Instead, a chiral order parameter χ is introduced, leading to effects observable across multiple scales. Among the results: a characteristic acceleration scale ac ≈ cH₀/2π, consistent with galaxy dynamics a relation for the spectral index nₛ = 1 − (Xi₀²) /4, yielding values close to Planck observations a two-parameter expansion model compatible with supernova (Pantheon+) data and BAO measurements at the percent level a possible interpretation of the Hubble tension as a transitional effect These results suggest that a single structural parameter may influence phenomena ranging from galactic rotation to primordial fluctuations. The work formulates a set of explicit, testable predictions, including effects that could be probed with current or near-future observational data. To date, no direct contradiction with established observations has been identified, although further detailed testing is required. Two companion essays are included: “Why Does Physics Exist? ” and “A Universe Looking at Itself. ” Published in Czech (original) and English (translation). Includes structured metadata supplement. Basic theory books: Porschova, A. (2026). CPQ Theory — A Unified Framework from Spacetime Quanta to Cosmology (Books I–III) (1. 4. ). Zenodo. https: //doi. org/10. 5281/zenodo. 18686137 email: andrea@porschova. cz