Henry Bar is about to become the first quantum superhero, having discovered the incredible yet true principle that all things, large and small, are subject to the laws of quantum physics. He finds out that it may be possible, albeit extremely challenging, even for us humans to manifest “quantumness”. This principle underlies Henry’s implementation of his quantum suit that allows him to act as a quantum object. In order to understand this principle, the historical route from early atomism to the emergence of quantum mechanics (QM) as a revolutionary theory of radiation and matter is presented. The inception of QM was a landmark in the age-old quest for answers to the question: is reality, in its complexity, reducible to simple constituents? Alternative questions include: How far up the complexity ladder can QM be pushed as a framework for explaining reality? The appendix to this chapter introduces mathematical notations for QM phenomena.
Henry Bar is about to become the first quantum superhero, having discovered the incredible yet true principle that all things, large and small, are subject to the laws of quantum physics. He finds out that it may be possible, albeit extremely challenging, even for us humans to manifest “quantumness”. This principle underlies Henry’s implementation of his quantum suit that allows him to act as a quantum object. In order to understand this principle, the historical route from early atomism to the emergence of quantum mechanics (QM) as a revolutionary theory of radiation and matter is presented. The inception of QM was a landmark in the age-old quest for answers to the question: is reality, in its complexity, reducible to simple constituents? Alternative questions include: How far up the complexity ladder can QM be pushed as a framework for explaining reality? The appendix to this chapter introduces mathematical notations for QM phenomena.
“Meet Henry Bar, a physicist and … quantum superhero.” The title The Quantum Matrix refers to a central concept in quantum physics, but also (allegorically) to our enigmatic world. In this book, Henry Bar, physicist and the first quantum superhero, guides the reader through the amazing quantum world. Henry’s hair-raising adventures in his perilous struggle for quantum coherence are graphically depicted by comics and thoroughly explained to the lay reader. Behind each adventure lies a key concept in quantum physics. These concepts range from the basic quantum coherence and entanglement through tunneling and the recently discovered quantum decoherence control, to the principles of the emerging technologies of quantum communication and computing. The explanations of the concepts are popular, but nonetheless rigorous and detailed, and are followed by their broader context, their historic perspective, up-to-date status and forthcoming developments. Finally, thought-provoking philosophical and cultural implications of these concepts are discussed. The mathematical appendices of all chapters cover, in a straightforward manner, the core aspects of quantum physics at the level of a university introductory course. The Quantum Matrix presents an entertaining, popular yet comprehensive picture of quantum physics. It can be read as a light-hearted illustrated tale, a philosophical treatise or a textbook. Either way, the book lets the reader delve deeply into the wondrous quantum world from diverse perspectives and obtain glimpses into the quantum technologies that are about to reshape our lives. May the reader’s voyage through the quantum world charted by this book be both pleasant and rewarding.
Henry has successfully tested the Split button of his quantum suit that enables a quantum object to be in several places at the same time. This bizarre phenomenon is explained by the superposition principle, which reflects Henry’s wavelike properties. Yet Henry remains a single entity as he splits into two superposed versions. In order to understand such behavior, the emergence of the relevant concepts, from classical wave theory, through the quanta hypothesis and the subsequent development of QM, are reviewed. The possibility of such momentous changes in human thinking as the QM scientific revolution is disconcerting if one seeks the truth of the world through physics. A retrospective of the views on the rapport of physics with reality and its roots in mythical or symbolic pictures of the world suggests that the QM revolution eludes straightforward explanation. The QM superposition principle is mathematically formulated in the appendix to this chapter.
The early twentieth century was a revolutionary time in the history of physics. People often think of Einstein's special theory of relativity of 1905, which changed our conceptions of time and space. But among physicists, quantum mechanics is usually regarded as an even more radical change in our thinking about the physical world. Quantum mechanics, which was developed between 1900 and 1926, began as a theory of atoms and light but has now become the framework in terms of which all basic physical theories are expected to be cast. We need quantum ideas not only to understand atoms, molecules, and elementary particles, but also to understand the electronic properties of solids and even certain astronomical phenomena such as the stability of white dwarf stars. The theory was radical in part because it introduced probabilistic behavior as a fundamental aspect of the world, but even more because it seems to allow mutually exclusive situations to exist simultaneously in a “quantum superposition.” We will see later that the possibility of quantum superposition is largely responsible for a quantum computer's distinctive advantage over an ordinary computer. The present chapter is devoted to introducing the basic principles of quantum mechanics. There are essentially four components of the mathematical structure of quantum mechanics. We need to know how to represent (i) states, (ii) measurements, (iii) reversible transformations, and (iv) composite systems. We will develop the first three in stages, starting with a very simple case – linear polarization of photons – and working toward the most general case.
Quantum mechanics (or simply quantum physics) is the branch of physics that applies to particles and systems of particles, such as atoms and molecules. In that realm the laws of classical mechanics and classical electromagnetism break down, and only quantum mechanics provides the concepts and computational methods that explain observed phenomena. Quantum mechanics uses specially developed tools, such as wave functions, that contain all of the relevant information about particles and systems. is approach is needed to understand the true nature of electromagnetic radiation and how that radiation interacts with matter. e mathematics used in quantum mechanics is highly specialized and often complex. In this chapter we’ll address some of the key questions that require quantum mechanics without presenting the full mathematical formalism. e important questions we’ll address all deal with observable physical phenomena. We’ll discuss how quantum mechanics is used to answer these questions but will omit the advanced mathematical details.
Quantum physics has long occupied a space between imagination and reality, captivating scientists and philosophers with its strange, counterintuitive principles: superposition, entanglement, uncertainty, and nonlocality. What once appeared as hypothetical mathematics now manifests in real technologies—lasers, semiconductors, superconductors, atomic clocks, MRI machines, and emerging quantum computers. This mini-review traces the conceptual journey of quantum physics from an abstract theory born in early twentieth-century thought experiments to a practical framework shaping modern engineering, computation, communication, and materials science. It highlights key developments in interpretation, experimental validation, and application, while reflecting on how quantum physics reshapes our understanding of nature, reality, and information. Although quantum mechanics remains philosophically perplexing, it has become a powerful and indispensable foundation for technological innovation. By examining how imaginary constructs transitioned into concrete implementations, this article illustrates the remarkable interplay between theory and experiment that continues to redefine what is possible.
What is the relation of the human to the world and the things in it? Do the various forms of human interrogation of the world discover things, and with them, a world? That is, can we reduce Being to a separation of knower from what can be known, or of observer from what can be observed? This article interrogates the question of the human-world relation via an inter-disciplinary analysis. The “flesh of the world” phenomenology of Maurice Merleau-Ponty problematises the assumption that there is an inherent distinction between subject and object, by instead identifying the incarnation of both in the embodied act of perception. Merleau-Ponty’s philosophy of a reality-as-flesh will be employed alongside, and inside, physicist Niels Bohr’s demand that the constituent elements of physical reality emerge via the concurrent incarnation of the measurer and the measured during experimental procedures. Bohrian quantum physics is shown (in a manner which does not require the reader to be experienced in quantum theories) to evoke the co-manifestation of subject and object for which Merleau-Ponty argues. In blurring notions of observer and observed, an ontologically productive, rather than epistemologically interrogative, operation is identified. This is used to investigate the human-world relation, and to argue against the notion that this relation, as a condition for there being phenomena, separates knower from what can be known, or observer from what can be observed.