Functional classical mechanics and rational numbers
نویسندگان
چکیده
منابع مشابه
Complex Rational Numbers in Quantum mechanics
A binary representation of complex rational numbers and their arithmetic is described that is not based on qubits. It takes account of the fact that 0s in a qubit string do not contribute to the value of a number. They serve only as place holders. The representation is based on the distribution of four types of systems, corresponding to +1,−1, +i,−i, along an integer lattice. Complex rational n...
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I usually do not go to conferences which have in the title the standard fashionable words ”Quantum Gravity” (QG). I made an exception this time because my dear friend Giampiero had the good taste of creating two sessions: one dedicated to QG and another to ”Foundations of Quantization”(FQ). In fact I belong to that minority which thinks that we should not only try to attack the second of the tw...
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A representation of complex rational numbers in quantum mechanics is described that is not based on logical or physical qubits. It stems from noting that the 0s in a product qubit state do not contribute to the number. They serve only as place holders. The representation is based on the distribution of four types of systems on an integer lattice. The four types, labelled as positive real, negat...
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The paper investigates the physical content of a recently proposed mathematical framework that unifies the standard formalisms of classical mechanics, relativity and quantum theory. In the framework states of a classical particle are identified with Dirac delta functions. The classical space is ”made” of these functions and becomes a submanifold in a Hilbert space of states of the particle. The...
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The time irreversibility problem is the dichotomy of the reversible microscopic dynamics and the irreversible macroscopic physics. This problem was considered by Boltzmann, Poincaré, Bogolyubov and many other authors and though some researchers claim that the problem is solved, it deserves a further study. In this paper an attempt is performed of the following solution of the irreversibility pr...
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ژورنال
عنوان ژورنال: P-Adic Numbers, Ultrametric Analysis, and Applications
سال: 2009
ISSN: 2070-0466,2070-0474
DOI: 10.1134/s2070046609040086