Verifications and Predictions: Consequences and Falsifiability of the Variational Admissibility Criterion (Foundations of Reality)

What if the failure of modern physics is not experimental—but logical? What if the real problem is not missing data, but inadmissible theories? In Verifications and Predictions: Consequences and Falsifiability of the Variational Admissibility Criterion, Edoardo Livolsi delivers the final volume of a radical and systematic investigation into the foundations of physical theory. This book moves beyond interpretation and speculation to confront a decisive question: Which physical theories are mathematically admissible—and which are not? Building on a closed variational framework developed across the previous volumes, Livolsi introduces and applies the Variational Admissibility Criterion, a rigorous standard that separates internally consistent, predictive theories from those that rely on external assumptions, interpretive patches, or non-closed dynamics. What this book does This volume is not a manifesto. It is a test. Here, the criterion is applied directly to concrete physical domains, producing: Explicit predictions that follow uniquely from admissible variational structure Sharp falsifiability conditions, including experimental, observational, and engineering constraints Demonstrations of why entire classes of popular theories fail, not empirically, but structurally Topics addressed include: The limits of effective field theories and renormalization Why observer-dependent dynamics are inadmissible Why certain quantum interpretations cannot survive closure Why specific gravitational-wave “echo” signals cannot be detected by current interferometers How geometry, constants, and dynamics must emerge—or not exist at all A different notion of falsifiability Unlike standard philosophy of science, falsifiability here is not an afterthought. A theory that is not variationally closed cannot be falsified, because it can always be adjusted. This book shows, in detail, how true falsifiability arises only when no external degrees of freedom remain. Who this book is for Theoretical physicists questioning the limits of current frameworks Philosophers of science concerned with theory admissibility Researchers interested in foundations, not interpretations Advanced readers seeking a rigorous alternative to patch-based physics What makes this work unique No metaphysics No probabilistic postulates No observer-centric assumptions No appeals to authority Only mathematics, closure, and consequence. If a theory cannot close, it cannot predict. If it cannot predict, it cannot be physics.