The CPQ Theory and the Quantum Cooking of Spaghetti - On how to read the Matrix CPQ theory

This essay is a companion piece to the Matrix CPQ trilogy and accompanying papers. It does not introduce new physics; instead, it addresses a problem the author has repeatedly encountered after publishing the theory — both human and AI readers tend to misread it in two opposite ways. Some treat the theory as an esoteric "Theory of Everything", while others dismiss it as mere philosophical speculation until it computes, say, the proton mass to ten decimal places. The essay argues that both readings stem from the same categorical mistake: a failure to identify what kind of theory CPQ actually is. CPQ is not yet another effective theory standing beside the Standard Model and General Relativity in horizontal unification. It is an ontological hypothesis placed beneath them, from which the existing effective theories are meant to follow as limits. The essay develops three intertwined arguments. First, it diagnoses why current physics, dominated by what the author calls the "Newtonian archetype", systematically demands of fundamental theories what no fundamental theory since Newton has actually delivered — direct computation of observables without intermediate effective layers. Second, it formulates a set of legitimate criteria a fundamental ontological theory must meet, including a concise eight-point benchmark applicable to any candidate (string theory, LQG, causal sets, Wolfram, CPQ alike). Third, it reframes the proper standard of success for such a theory as stable generativity across layers — using the metaphor of cooking spaghetti as a paradigmatic case of the layered structure of reality. 1 Porschová, A. (2026). The Matrix — Parameters and Dynamics: Foundation of CPQ Theory (v3.1). Zenodo. https://doi.org/10.5281/zenodo.19431867 2 Porschová, A. (2026). CPQ Field Theory — Applications: From Empty Matrix to the Standard Model and Chemistry and to Cosmology (Books 01–03). Zenodo. https://doi.org/10.5281/zenodo.19100819 3 Porschová, A. (2026). CPQ Theory — A Unified Framework from Spacetime Quanta to Cosmology (Books I–III) (v1.4). Zenodo. https://doi.org/10.5281/zenodo.18686137