R.V.L. Hartley in 1928 and C.E. Shannon in 1948 have formulated a fundamental assumption that the most natural choice for any future information theory is the logarithmic function. This assumption became common heuristic in contemporary physics, computer science and quantum information theory. Nevertheless, mathematically speaking, we may suppose that Hartley-Shannon Assumption (HSA) needs taking justification seriously. Our note represents the first attempt of re- examination of such sort of popular assumption and we show how an innocent number-theoretical finding by Shannon became unreasonably effective abstraction in contemporary theoretical physics, experimental quantum mechanics and cosmology.
R.V.L. Hartley in 1928 and C.E. Shannon in 1948 have formulated a fundamental assumption that the most natural choice for any future information theory is the logarithmic function. This assumption became common heuristic in contemporary physics, computer science and quantum information theory. Nevertheless, mathematically speaking, we may suppose that Hartley-Shannon Assumption (HSA) needs taking justification seriously. Our note represents the first attempt of re- examination of such sort of popular assumption and we show how an innocent number-theoretical finding by Shannon became unreasonably effective abstraction in contemporary theoretical physics, experimental quantum mechanics and cosmology.
Presentation of the Heuristic Interpretive Model of Quantum Physics: Quantum Motion through SpaceQuantum Motion through Space — abbreviated as QMS — is a heuristic interpretive model of quantum physics that aims to provide an intelligible representation of quantum phenomena, fundamental fields, and elementary particles. It does not seek to replace the established mathematical formalisms of contemporary physics, but rather to extend their conceptual scope by proposing a physical and geometrical image of the quantum world.Starting from a fundamental postulate concerning the discrete structure of space and the dynamical role of quanta of action, the QMS model examines both historical and contemporary physical theories in order to develop a coherent interpretive framework. Within this perspective, quantum phenomena are not considered solely as mathematical structures, but also as processes that may be represented through an underlying dynamics: the motion of quanta of action through a discrete spatial substrate.This approach also has a philosophical dimension. By revisiting long-standing questions concerning the nature of space, matter, vacuum, and physical reality, QMS seeks to establish a dialogue between fundamental physics, the ontology of space, and the metaphysics of nature. The model is therefore presented as an attempt at conceptual clarification, situated at the intersection of quantum physics, relativity, gravitation, and speculative cosmology.The thesis is organized into two main parts.The first part, comprising Chapters I to IV, is devoted to the foundations and dynamics of Quantum Motion through Space. It presents the physical and philosophical assumptions of the model, before developing its interpretation of quantum propagation, particles, the wave function, mass, energy, and gravitation.The second part, comprising Chapters V and VI, explores the cosmological and ontological extension of the model. It introduces the speculative framework of Black Holes–White Mountains, together with a reflection on quantum gravity, the discrete structure of space, and the mereological issues associated with such a conception of physical reality.As a whole, this work aims to formulate a coherent, cautious, and speculative interpretive framework intended to make conceivable an underlying kinetics of quantum and cosmological phenomena, while remaining attentive to the observational and theoretical achievements of contemporary physics.
The theoretical, experimental and technological areas covering the use of quantum mechanics for communication and computation.Quantum information processing includes investigations in quantum information theory, quantum communication, quantum computation, quantum algorithms and their complexity, and quantum control.The science of quantum information processing is a highly interdisciplinary field.In the context of mathematics it is stimulating research in pure mathematics (e.g.coding theory, *algebras, quantum topology) as well as requiring and providing many opportunities for applied mathematics.The science of quantum information processing emerged from the recognition that usable notions of information need to be physically implementable.In the 1960s and 1970s researchers such as R. Landauer, C. Bennett, C. Helstrom and A. Holevo realized that the laws of physics give rise to fundamental constraints on the ability to implement and manipulate information.Landauer repeatedly stated that "information is physical", providing impetus to the idea that it should be possible to found theories of information on the laws of physics.This is in contrast to the introspective approach which led to the basic definitions of computer science and information theory as formulated by A. Church, A. Turing, C. Shannon and others in the first half of the 20th century.Early work in studying the physical foundations of information focused on the effects of energy limitations and the need for dissipating heat in computation and communication.Beginning with S. Wiesner's work on applications of quantum mechanics to cryptography in the late 1960s, it was realized that there may be intrinsic advantages to using quantum physics in information processing.Quantum cryptography and quantum communication in general were soon established as interesting and non-trivial extensions of classical communication based on bits.That quantum mechanics may be used to improve the efficiency of algorithms was first realized when attempts at simulating quantum mechanical systems resulted in exponentially complex algorithms compared to the physical resources associated with the system simulated.In the 1980s, P. Benioff and R. Feynman introduced the idea of a quantum computer for efficiently implementing quantum physics simulations.Models of quantum computers were developed by D. Deutsch, leading to the formulation of artificial problems that could be solved more efficiently by quantum than by classical computers.The advantages of quantum computers became widely recognized when P.
By offering mathematical frameworks and experimental techniques for characterising matter, energy, space, time, and their interactions, physics plays a crucial role in comprehending the nature of reality. The evolution of contemporary physics, from classical mechanics and electromagnetism to quantum mechanics and relativity, has profoundly altered our comprehension of the cosmos and put traditional ideas of determinism, locality, causation, and observation to the test. The contribution of modern physics theories to our comprehension of reality at the microscopic and cosmological sizes is examined in this paper. The measurement problem, entanglement, quantum information, quantum physics, and the connection between physical information and the emergence of observable reality are all given special emphasis. The study also looks at how understanding space, time, matter, and the structure of the cosmos is affected by general relativity, quantum field theory, and new theories of quantum gravity. Additionally, the potential connection between information, awareness, and physical processes is rigorously examined, separating accepted scientific findings from theoretical and philosophical interpretations. The study shows that relationships, information, and physical rules may be a more fundamental way to define reality than traditional ideas of independently existent objects by combining findings from theoretical physics, quantum information science, and philosophy of physics. The study concludes that while unanswered problems about quantum measurement, the origin of spacetime, and consciousness point to significant avenues for future multidisciplinary research, physics is still a potent framework for examining fundamental reality.