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Do completely unpredictable events exist in nature? Classical theory, being fully deterministic, completely excludes fundamental randomness. On the contrary, quantum theory allows for randomness within its axiomatic structure. Yet, the fact…

It is considered the study of determinism in the theories of physics. Based on fundamental postulates of physics, it is proved that the evolution of the universe is univocally determined, proving ultimately that free will does not exist. In…

综合物理 · 物理学 2014-07-08 Edgar Jose Candales Dugarte

A characteristical property of a classical physical theory is that the observables are real functions taking an exact outcome on every (pure) state; in a quantum theory, at the contrary, a given observable on a given state can take several…

量子物理 · 物理学 2015-06-26 Antonio Cassa

Many have wondered how mathematics, which appears to be the result of both human creativity and human discovery, can possibly exhibit the degree of success and seemingly-universal applicability to quantifying the physical world as…

历史与综述 · 数学 2015-09-01 Kevin H. Knuth

Mathematical research is often motivated by the desire to reach a beautiful result or to prove it in an elegant way. Mathematician's work is thus strongly influenced by his aesthetic judgments. However, the criteria these judgments are…

历史与综述 · 数学 2024-05-10 Filip D. Jevtić , Jovana Kostić , Katarina Maksimović

Tracing flows of information in our quantum Universe explains why we see the world as classical.

量子物理 · 物理学 2014-12-18 Wojciech H. Zurek

There are many ways we can not know. Even in systems that we created ourselves, as, for example, systems in mathematical logic, Go\"edel and Tarski's theorems impose limits on what we can know. As we try to speak of the real world, things…

物理学史与哲学 · 物理学 2020-06-04 André C. R. Martins

Quantum uncertainty is described here in two guises: indeterminacy with its concomitant indeterminism of measurement outcomes, and fuzziness, or unsharpness. Both features were long seen as obstructions of experimental possibilities that…

量子物理 · 物理学 2011-01-04 Paul Busch

Decoherence shows how the openness of quantum systems -- interaction with their environment -- suppresses flagrant manifestations of quantumness. Einselection accounts for the emergence of preferred quasi-classical pointer states. Quantum…

量子物理 · 物理学 2022-04-27 Wojciech Hubert Zurek

Measurement outcomes provide data for a physical theory. Unless they are objective they support no objective scientific knowledge. So the outcome of a quantum measurement must be an objective physical fact. But recent arguments purport to…

量子物理 · 物理学 2021-08-06 Richard Healey

Determinism is (roughly) the thesis that the past determines the future. But efforts to define it precisely have exposed deep methodological disagreements. Standard possible-worlds formulations of determinism presuppose an "agreement"…

物理学史与哲学 · 物理学 2026-01-19 Hans Halvorson , JB Manchak , James Owen Weatherall

The nature of the existence, revealed through Human cognitive system, has been evolving since the development of the languages. Part of such revelations were the geometrical forms and the numbers, whose beauty and order, wondrous and…

神经元与认知 · 定量生物学 2022-02-28 Jahan. N. Schad

Recent developments in the mathematical foundations of quantum mechanics have brought the theory closer to that of classical probability and statistics. On the other hand, the unique character of quantum physics sets many of the questions…

量子物理 · 物理学 2007-05-23 O. E. Barndorff-Nielsen , R. D. Gill , P. E. Jupp

The claim that there is an inconsistency of quantum-classical dynamics [1] is investigated. We point out that a consistent formulation of quantum and classical dynamics which can be used to describe quantum measurement processes is already…

量子物理 · 物理学 2007-05-23 E. C. G. Sudarshan

It is often claimed that the fundamental laws of physics are deterministic and time-symmetric and that therefore our experience of the passage of time is an illusion. This paper will critically discuss these claims and show that they are…

量子物理 · 物理学 2023-04-20 Barbara Drossel

The best mathematical arguments against a realistic interpretation of quantum mechanics - that gives definite but partially unknown values to all observables - are analysed and shown to be based on reasoning that is not compelling. This…

量子物理 · 物理学 2007-05-23 Arnold Neumaier

In this work we initiate the question of whether quantum devices can provide us with an almost perfect source of classical randomness, and more generally, suffice for classical cryptographic tasks, such as encryption. Indeed, it is well…

量子物理 · 物理学 2007-05-23 Yevgeniy Dodis , Renato Renner

While philosophy of science is the study of problems of knowledge concerning science in general, there also exists - or should exist - a '' philosophy in science'' directed at finding out in what ways our actual scientific knowledge may…

量子物理 · 物理学 2007-05-23 Bernard d'Espagnat

Several examples are used to illustrate how we deal cavalierly with infinities and unphysical systems in physics. Upon examining these examples in the context of infinities from Cantor's theory of transfinite numbers, the only known…

数学物理 · 物理学 2007-05-23 P. Narayana Swamy

The nature of a physical law is examined, and it is suggested that there may not be any fundamental dynamical laws. This explains the intrinsic indeterminism of quantum theory. The probabilities for transition from a given initial state to…

量子物理 · 物理学 2007-05-23 Jeeva S. Anandan