A complex nonlinear approach for understanding quantum physics

Author(s):  
J. R. Croca

To understand quantum phenomena, namely, the particle-wave duality, in a causal relational way, a complex nonlinear process, in which a minor action may, under adequate conditions, give rise to a huge reaction, was proposed by de Broglie. The nonlinear process is mediated by the guiding or pilot wave principle, or as is now named by the principle of eurhythmy. This process rejects the ontic status of the Cartesian linear method in which the whole is assumed to be the simple linear combination of the parts and the action is always presumed to be equal and opposite to the reaction. The constituent parts of the whole are supposed to be naturally expected to maintain their own identity in every conceivable interacting situation.

Author(s):  
Bruce L. Gordon

There is an argument for the existence of God from the incompleteness of nature that is vaguely present in Plantinga’s recent work. This argument, which rests on the metaphysical implications of quantum physics and the philosophical deficiency of necessitarian conceptions of physical law, deserves to be given a clear formulation. The goal is to demonstrate, via a suitably articulated principle of sufficient reason, that divine action in an occasionalist mode is needed (and hence God’s existence is required) to bring causal closure to nature and render it ontologically functional. The best explanation for quantum phenomena and the most adequate understanding of general providence turns out to rest on an ontic structural realism in physics that is grounded in the immaterialist metaphysics of theistic idealism.


Universe ◽  
2021 ◽  
Vol 7 (4) ◽  
pp. 86
Author(s):  
Caterina Foti ◽  
Daria Anttila ◽  
Sabrina Maniscalco ◽  
Maria Luisa Chiofalo

Educating K12 students and general public in quantum physics represents an evitable must no longer since quantum technologies are going to revolutionize our lives. Quantum literacy is a formidable challenge and an extraordinary opportunity for a massive cultural uplift, where citizens learn how to engender creativity and practice a new way of thinking, essential for smart community building. Scientific thinking hinges on analyzing facts and creating understanding, and it is then formulated with the dense mathematical language for later fact checking. Within classical physics, learners’ intuition may in principle be educated via classroom demonstrations of everyday-life phenomena. Their understanding can even be framed with the mathematics suited to their instruction degree. For quantum physics, on the contrary, we have no experience of quantum phenomena and the required mathematics is beyond non-expert reach. Therefore, educating intuition needs imagination. Without rooting to experiments and some degree of formal framing, educators face the risk to provide only evanescent tales, often misled, while resorting to familiar analogies. Here, we report on the realization of QPlayLearn, an online platform conceived to explicitly address challenges and opportunities of massive quantum literacy. QPlayLearn’s mission is to provide multilevel education on quantum science and technologies to anyone, regardless of age and background. To this aim, innovative interactive tools enhance the learning process effectiveness, fun, and accessibility, while remaining grounded on scientific correctness. Examples are games for basic quantum physics teaching, on-purpose designed animations, and easy-to-understand explanations on terminology and concepts by global experts. As a strategy for massive cultural change, QPlayLearn offers diversified content for different target groups, from primary school all the way to university physics students. It is addressed also to companies wishing to understand the potential of the emergent quantum industry, journalists, and policymakers needing to seize what quantum technologies are about, as well as all quantum science enthusiasts.


SIMULATION ◽  
1968 ◽  
Vol 10 (5) ◽  
pp. 221-223 ◽  
Author(s):  
A.S. Chai

It is possible to replace k2 in a 4th-order Runge-Kutta for mula (also Nth-order 3 ≤ N ≤ 5) by a linear combination of k1 and the ki's in the last step, using the same procedure for computing the other ki's and y as in the standard R-K method. The advantages of the new method are: It re quires one less derivative evaluation, provides an error estimate at each step, gives more accurate results, and needs a minor change to switch to the RK to obtain the starting values. Experimental results are shown in verification of the for mula.


2016 ◽  
Vol 10 (4) ◽  
pp. 213-223 ◽  
Author(s):  
Constantin Sandmann ◽  
Erlend Hodneland ◽  
Jan Modersitzki

A fast and robust method for T1 estimation in MRI is the so-called variable flip angle technique. We introduce a novel family of T1 reconstruction methods from data acquired with various flip angles and propose a family member which combines the robustness of a nonlinear- with the computational advantages of a linear reconstruction. The constructed family contains the most common approaches for T1 estimation, namely a linear and a nonlinear approach. A general sensitivity analysis for arbitrary members of the family is established. Advantages of the optimized reconstruction are demonstrated on phantom- as well as real data, showing improvements of up to 24% as compared with the linear method. As a further means to stabilize T1 estimation, spatial stabilization methods are compared. We demonstrate on phantom and on real data that improved results can be obtained if not only T1 but also a second unknown M0 in the reconstruction is stabilized.


Author(s):  
Robert McDonald

Slavoj Žižek stands as one of the most influential contemporary philosophical minds, stretching across a wide variety of fields: not just communication and critical/cultural studies, but critical theory, theology, film, popular culture, political theory, aesthetics, and continental theory. He has been the subject (and object) of several documentaries, become the source of a “human megaphone” during Occupy Wall Street, and become, while still living, the subject of his own academic journal (the International Journal of Žižek Studies). Žižek’s theoretical claim to fame, aside from his actual claim to fame as a minor “celebrity philosopher,” is that he weaves together innovative interpretations of G. W. F. Hegel, Karl Marx, and Jacques Lacan to comment on a variety of subjects, from quantum physics to Alfred Hitchcock films to CIA torture sites. While there are as many “Žižeks” as there are philosophical problem-spaces, Žižek proposes an essential unity within his project; in his work, the triad Hegel-Marx-Lacan holds together like a Brunnian link—each link in the chain is essential for his project to function. Further, his intentionally provocative work acts as a counterweight to what he views as the dominant trends of philosophy and political theory since the 1980s—postmodernism, anti-foundationalism, deconstruction, vitalism, ethics, and, more recently, speculative realism and object-oriented ontology.


2019 ◽  
Vol 2020 (24) ◽  
pp. 10100-10113
Author(s):  
Lev Buhovsky ◽  
Alexander Logunov ◽  
Mikhail Sodin

Abstract We construct a Riemannian metric on the 2D torus, such that for infinitely many eigenvalues of the Laplace–Beltrami operator, a corresponding eigenfunction has infinitely many isolated critical points. A minor modification of our construction implies that each of these eigenfunctions has a level set with infinitely many connected components (i.e., a linear combination of two eigenfunctions may have infinitely many nodal domains).


2020 ◽  
Vol 16 (2) ◽  
pp. 149-166
Author(s):  
Karoliina Vuola ◽  
Maija Nousiainen

Argumentation and knowledge justification have been noted as important skills to be learned in secondary and tertiary level of education. These skills are especially crucial in teaching and learning physics because physics knowledge is normative and has hierarchical structure. The purpose of this article is two-fold. First, we propose a framework to analyze pre-service physics teachers’ knowledge justification. Second, we show how this framework can be used to examine pre-service physics teachers’ knowledge justification in the context of quantum physics. The sample consists of 68 knowledge justification schemes on four quantum phenomena (N=17 participants who all produced four schemes). The proposed framework discusses conceptual, relational and strategic knowledge presented in knowledge justification schemes. The results show that analysis framework reveal significant differences between pre-service teachers’ knowledge justification. We conclude that there is need and room for such practical tools, which help future teachers to organize and consider their own knowledge.


Author(s):  
Mara Beller

One of the most influential scientists of the twentieth century, the Danish physicist Niels Bohr founded atomic quantum theory and the Copenhagen interpretation of quantum physics. This radical interpretation renounced the possibility of a unified, observer-independent, deterministic description in the microdomain. Bohr’s principle of complementarity – the heart of the Copenhagen philosophy – implies that quantum phenomena can only be described by pairs of partial, mutually exclusive, or ‘complementary’ perspectives. Though simultaneously inapplicable, both perspectives are necessary for the exhaustive description of phenomena. Bohr aspired to generalize complementarity into all fields of knowledge, maintaining that new epistemological insights are obtained by adjoining contrary, seemingly incompatible, viewpoints.


Author(s):  
Stephen Barnett

We have seen that there is an intimate relationship between probability and information. The values we assign to probabilities depend on the information available, and information is a function of probabilities. This connection makes it inevitable that information will be an important concept in any statistical theory, including thermodynamics and, of course, quantum physics. The probabilistic interpretation of quantum theory has probability amplitudes rather than probabilities as the fundamental quantities. This feature, together with the associated superposition principle, is responsible for intrinsically quantum phenomena and gives quantum information theory its distinctive flavour. We shall see that the quantum rules for dynamical evolution and measurement, together with the existence of entangled states, have important implications for quantum information. They also make it possible to perform tasks which are either impractical or impossible within the classical domain. In describing these we shall make extensive use of simple but fundamental ideas in quantum theory. This chapter introduces the mathematical description of quantum physics and the concepts which will be employed in our study of quantum information.


Author(s):  
Anouk Barberousse

Philosophical reflections on physics and its theories have been shaping the agenda of general philosophy of science, including issues such as the nature of scientific theories, the meaning of scientific terms, and scientific modeling. But physics is also well worth being considered a special science of its own, whose methods and tools raised specific questions for philosophers of science: this is the approach followed in this chapter, which has as its main thread the role of mathematics in physical theories. It tackles classical issues concerning measurement and determinism and long-standing controversies in the philosophy of statistical mechanics (how may the reversible laws of mechanics account for the irreversible principles of thermodynamics?) and in the philosophy of quantum physics (does quantum mechanics provide us a with a complete description of quantum phenomena?). It also addresses emerging issues in the field, such as computer simulations and their role between theory and observation.


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