A synthesis and introductory work that articulates, in a unified framework, three major directions of “quantum technologies”: (i) quantum computing, (ii) quantum cryptography/communications, and (iii) philosophical reflection on the epistemic, ethical, and politico-institutional implications of the “second quantum revolution.” The volume is accompanied by complete bibliographic data. The book aims to provide an accessible yet rigorous introduction, intended especially for readers with a background in science and computer science, interested in the impact of quantum phenomena on information processing and security. At the heart of the approach is the idea that technological advantages (and risks) stem from fundamental properties such as superposition, inseparability, interference, uncertainty, and non-cloning, discussed as operational “resources” for computation, communication, and security. The structure is layered: it begins with an orientation section (“Quantum Technologies for Informatics and Security”), then goes deeper through two didactic-technical blocks (quantum computing; quantum cryptography) and ends with a philosophical module dedicated to conceptual and normative implications. The table of contents indicates a progression from the fundamentals (QIS and relevant quantum mechanics notions) to applications, limitations and governance (EU and Romania), followed by resources/bibliography. A distinctive element of the volume is the connection of the technical discussion to policies and strategies: both the EU Strategy “Quantum Europe Strategy: Quantum Europe in a Changing World” (European Commission, 2 July 2025), with an emphasis on the transition “from laboratory to factory and use”, and the National Strategy of Romania (2024–2029), oriented towards resources, industry and international positioning, including infrastructure, skills and security “by design”, are presented. By combining (a) a didactic path with exercises and solutions, (b) an applied synthesis for computer science and security, (c) a reference framework/bibliography, and (d) a philosophical-ethical reflection section, the book functions as an introductory manual, interdisciplinary orientation guide, and starting point for discussions on the governance of quantum technologies. In an academic presentation, the volume can be framed as an “interface” work between technical curricula (algorithms, protocols, hardware) and social responsibility issues (risks, dual use, education, and “ethical railings”).
This volume is the mathematical companion to Inevitics, Volume I: Thresholds, Transport, and Resonant Coherence in Complex Systems — A Technical Handbook. The two books share a subject but divide the labour. The Handbook sets out Inevitics as a cross-domain framework and research program, carrying the idea of threshold-governed coherence from mathematics into quantum measurement, cognition, quantum architecture, spacetime, and historical witness, and marking at each stage which claims are theorem, model, hypothesis, or interpretation. The present volume takes up only the first of those registers. It isolates the mathematical core, declares its assumptions, and asks what can be derived, computed, or refuted within stated models. Because the scope is narrower, the standard of statement is stricter. Every result is identified as established mathematics, a model-exact derivation, a numerical finding, or an open conjecture, and philosophical interpretation is kept out of the derivations. Ideas that serve as organizing images in the wider framework are therefore given a deliberately limited reading here. In this volume the Kahn–Kalai theorem, as proved by Park and Pham, is a statement about thresholds of monotone properties, not a universal inevitability theorem; optimal-transport stability enters as a model-dependent estimate, not as a universal “Figalli pillar”; Schrödinger bridges, Feynman path integrals, and Belavkin filtering are treated as related but mathematically distinct constructions; and the Nine-Palace architecture is studied as a model whose protection properties are computed and tested, not as experimentally established fault-tolerant quantum hardware. These restrictions do not retract the Handbook. They specify how its organizing ideas behave once they are reduced to definitions and estimates. The book asks one disciplined question: under what declared limits and model assumptions can a coherent or reliable regime become more probable, less costly to typicalize, more stable under perturbation, and more persistent under dynamics? The answer is not one scalar law. It is a profile built from probability, large-deviation or informational cost, stability, and recovery or persistence. The numerical chapters are intentionally falsification-friendly. Several experiments run against architectural preferences proposed in the course of developing the framework, most notably the strongly centre-weighted Nine-Palace coupling hierarchy. Those negative results are reported in full, because they say more about the scope of the framework than confirmatory simulations would, and because testing the architecture against its own motivation is part of the research program the Handbook lays out. Readers who want the motivation, the physical and computational applications, and the philosophical boundary cases should begin with Volume I. Readers who want the definitions, derivations, and test results on which those applications would have to rest will find them here. Each book can be read on its own; together they present the same framework at two levels of resolution.
Abstract Since Adam Smith, economics has erected a grand edifice upon the foundations of rational agents, equilibrium analysis, and linear causality; however, the 2008 global financial crisis, the European sovereign debt crisis, and the COVID-19 pandemic have successively revealed its fundamental limitations when confronted with complex economic phenomena: bubbles that ought not to have existed, crises unforeseen by equilibrium models, non-linear ruptures brought about by technological revolutions, and self-fulfilling expectations—all of which call for a richer theoretical language. This book serves as the foundational introduction to the "Quantum Economics Textbook Series," as well as the first gateway into this entire series. It introduces the methodological framework, mathematical apparatus, and philosophical insights of quantum mechanics to economic analysis, grounding its approach in the core proposition of a practical ontology—that human economic practice itself possesses quantum attributes such as superposition, entanglement, constructibility, uncertainty, and emergence—thereby reconstructing the economic world as a quantum process of superposition and evolution. Six core concepts—superposition, entanglement, measurement collapse, the uncertainty principle, quantum transitions, and emergence—run throughout the work. Quantum economics does not represent a simple negation of classical theory; rather, it constitutes a dialectical sublation: under the classical limit—where decoherence is complete, the measurement basis is fixed, and entanglement vanishes—quantum theory precisely reduces to classical theory. This book comprises five parts and thirty chapters: Part I establishes the paradigm shift and theoretical framework, covering critiques of Newton's worldview, the quantum worldview, a foundational conceptual framework, mathematical foundations, and research methodologies; Part II reconstructs quantum microeconomic theory, encompassing consumers, producers, pricing, markets, the wave-particle duality of markets, quantum games, and welfare economics; Part III builds quantum macroeconomic theory, addressing national income accounting, money, inflation, economic cycles, policy, and open economies; Part IV explores quantum finance and market dynamics, including asset pricing, portfolio management, market sentiment, risk management, and trading theory; Part V extends the scope to organizations, innovation, institutions, development, economic ethics, and the digital economy, while offering insights into the future of this discipline. This volume is intended for undergraduate and graduate students, as well as researchers in economics and related fields, and serves as the essential first volume in the quantum economics series.