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Quantum and classical mechanics are derived using four natural physical principles: (1) the laws of nature are invariant under time evolution, (2) the laws of nature are invariant under tensor composition, (3) the laws of nature are…

量子物理 · 物理学 2014-09-30 Florin Moldoveanu

On the surface, behavioural science and physics seem to be two disparate fields of research. However, a closer examination of problems solved by them reveals that they are uniquely related to one another. Exemplified by the theories of…

物理与社会 · 物理学 2024-04-17 Ivan S. Maksymov

I show that the cloneability of information is the key difference between classical computer and quantum computer. As information stored and processed by neurons is cloneable, brain (human or non-human) is a classical computer. Penrose…

综合物理 · 物理学 2022-04-12 Biao Wu

The quest for quantum computers is motivated by their potential for solving problems that defy existing, classical, computers. The theory of computational complexity, one of the crown jewels of computer science, provides a rigorous…

统计力学 · 物理学 2010-09-10 C. R. Laumann , R. Moessner , A. Scardicchio , S. L. Sondhi

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

The problem of the determinism of Quantum Mechanics has been a main one during the 20th century. At the same time, in the context of Logic and Set Theory, the importance of ancient paradoxes as well as the appearance of many new ones, has…

综合物理 · 物理学 2015-06-04 Iegor Reznikoff

Classical statistical particle mechanics in the configuration space can be represented by a nonlinear Schrodinger equation. Even without assuming the existence of deterministic particle trajectories, the resulting quantum-like statistical…

量子物理 · 物理学 2014-11-18 H. Nikolic

A motivation is given for expressing classical mechanics in terms of diagonal projection matrices and diagonal density matrices. Then quantum mechanics is seen to be a simple generalization in which one replaces the diagonal real matrices…

量子物理 · 物理学 2009-11-05 Don N. Page

The mechanism of the transition of a dynamical system from quantum to classical mechanics is one of the remaining challenges of quantum theory. Currently, it is considered to occur via decoherence caused by entanglement and/or stochastic…

量子物理 · 物理学 2015-06-16 John S. Briggs , James M. Feagin

It is usual to identify initial conditions of classical dynamical systems with mathematical real numbers. However, almost all real numbers contain an infinite amount of information. I argue that a finite volume of space can't contain more…

量子物理 · 物理学 2021-11-04 Nicolas Gisin

Disputes on the foundations of Quantum Mechanics often involve the conception of reality, without a clear definition on which aspect of this broad concept of reality one refers. We provide an overview of conceptions of reality in classical…

量子物理 · 物理学 2017-08-08 Gerd Christian Krizek

The conventional interpretation of quantum mechanics, though it permits a correspondence to classical physics, leaves the exact mechanism of transition unclear. Though this was only of philosophical importance throughout the twentieth…

量子物理 · 物理学 2008-05-22 John Gamble

Analogies between quantum mechanics and sociology lead to the hypothesis that quantum objects are complex products of evolution. Like biological objects they are able to receive, to work on, and to spread semantic information. In general…

量子物理 · 物理学 2007-05-23 Raoul Nakhmanson

In previous publications, we have argued that a form of panprotopsychism based on quantum states and events offers a solution to the combination problem. This framework explains the emergence of complex phenomenal qualities and conscious…

物理学史与哲学 · 物理学 2025-08-08 Rodolfo Gambini

It is argued that the traditional "realist" methodology of physics, according to which human concepts, laws and theories can grasp the essence of reality, is incompatible with the most fruitful interpretation of quantum formalism. The proof…

量子物理 · 物理学 2011-07-19 M. Ferrero , D. Salgado , J. L. Sanchez-Gomez

Functional theories of consciousness, based on emergence of conscious experiences from the execution of a particular function by an insentient brain, face the hard problem of consciousness of explaining why the insentient brain should…

神经元与认知 · 定量生物学 2025-04-29 Danko D. Georgiev

Classical chaos is marked by an extreme sensitivity to initial conditions, where infinitesimally close trajectories separate exponentially over time. In quantum mechanics, however, unitary evolution and the uncertainty principle preclude…

量子物理 · 物理学 2025-03-19 Sanchit Srivastava , Shohini Ghose

Molecular biology and biochemistry interpret microscopic processes in the living world in terms of molecular structures and their interactions, which are quantum mechanical by their very nature. Whereas the theoretical foundations of these…

量子物理 · 物理学 2023-07-07 Alberto Baiardi , Matthias Christandl , Markus Reiher

We address the question: Why are dynamical laws governing in quantum mechanics and in neuroscience of probabilistic nature instead of being deterministic? We discuss some ideas showing that the probabilistic option offers advantages over…

量子物理 · 物理学 2015-06-26 H. Kroger

By means of the examples of classical and Bohmian quantum mechanics, we illustrate the well-known ideas of Boltzmann as to how one gets from laws defined for the universe as a whole to dynamical relations describing the evolution of…

量子物理 · 物理学 2016-04-05 Andrea Oldofredi , Dustin Lazarovici , Dirk-André Deckert , Michael Esfeld