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This is the first half of a two-part paper dealing with the geometry of color perception. Here we analyze in detail the seminal 1974 work by H.L. Resnikoff, who showed that there are only two possible geometric structures and Riemannian…

Neurons and Cognition · Quantitative Biology 2025-04-23 Edoardo Provenzi

Physical colors, i.e. reflected or emitted lights entering the eyes from a visual environment, are converted into perceived colors sensed by humans by neurophysiological mechanisms. These processes involve both three types of…

Neurons and Cognition · Quantitative Biology 2025-04-21 Michel Berthier , Valerie Garcin , Nicoletta Prencipe , Edoardo Provenzi

In this paper we make a systematic use of the quantum measurement theory to describe perceived colors and analyze some of their fundamental properties. After motivating the naturalness of the quantum measurement approach in the mathematical…

Neurons and Cognition · Quantitative Biology 2025-04-18 Michel Berthier , Edoardo Provenzi

In this paper we deal with the problem of overcoming the intuitive definition of several color perception attributes by replacing them with novel mathematically rigorous ones. Our framework is a quantum-like color perception theory recently…

Neurons and Cognition · Quantitative Biology 2025-04-18 Michel Berthier , Nicoletta Prencipe , Edoardo Provenzi

Starting from the foundational axiomatization of the perceptual color space initiated by Schr\"odinger in 1920 and eventually refined by Resnikoff in 1974, Berthier, Provenzi and their collaborators have recently proposed a reformulation of…

Neurons and Cognition · Quantitative Biology 2025-12-02 Roberto Leporini , Edoardo Provenzi , Michel Berthier

Moving around in a 3D world, requires the visual system of a living individual to rely on three channels of image recognition, which is done through three types of retinal cones. Newton, Grasmann, Helmholz and Schr$\ddot{o}$dinger laid down…

Computer Vision and Pattern Recognition · Computer Science 2020-04-08 Vic Patrangenaru , Yifang Deng

Chromatic quantum contextuality is a criterion of quantum nonclassicality based on (hyper)graph coloring constraints. If a quantum hypergraph requires more colors than the number of outcomes per maximal observable (context), it lacks a…

Quantum Physics · Physics 2025-04-09 Karl Svozil

I review the main features of the color charge degree of freedom in particle physics, sketch the paradox in the early quark model that led to color, give a personal perspective on the discovery of color and describe the introduction of the…

History and Philosophy of Physics · Physics 2017-08-23 O. W. Greenberg

Color transparency (CT) is an effect of suppression of nuclear shadowing of hard reactions, closely related to the color screening. A brief review of theoretical development and experimental search for CT, failed and successful, are…

High Energy Physics - Phenomenology · Physics 2007-05-23 Boris Kopeliovich

The optical properties of solids are governed not only by their energy band dispersions but also by the quantum geometry of Bloch states. While the role of energy bands in determining the perceived optical appearance of materials, such as…

Optics · Physics 2025-07-29 Chang-geun Oh , Sun-Woo Kim

Color confinement is a consequence of an unbroken non-Abelian gauge symmetry and the resulting asymptotic freedom inherent in quantum chromodynamics. A qualitative sketch of its proof is presented.

High Energy Physics - Theory · Physics 2007-05-23 Masud Chaichian , Kazuhiko Nishijima

Light is known to exhibit quantum uncertainty in terms of its amplitude, phase, and polarization. However, quantum uncertainty related to coherence, which is also a fundamental physical property of light, has not been considered to date.…

Due to its unique computing principles, quantum computing technology will profoundly change the spectacle of color art. Focusing on experimental exploration of color qubit representation, color channel processing, and color image generation…

Quantum Physics · Physics 2025-09-05 Guosheng Hu

The uncertainty relation is a distinctive characteristic of quantum theory. The uncertainty is essentially rooted in quantum states. In this work we regard the uncertainty as an intrinsic property of quantum state and characterize it…

Quantum Physics · Physics 2024-05-31 Ming-Jing Zhao , Yuanhong Tao

We address the question of color-space interactions in the brain, by proposing a neural field model of color perception with spatial context for the visual area V1 of the cortex. Our framework reconciles two opposing perceptual phenomena,…

Neurons and Cognition · Quantitative Biology 2019-07-01 Anna Song , Olivier Faugeras , Romain Veltz

I review the discovery of the color degree of freedom in hadronic physics, and the developments which led from that discovery to the local gauge theory of color, quantum chromodynamics.

High Energy Physics - Phenomenology · Physics 2007-05-23 O. W. Greenberg

The emergence of Boris Struminsky's January, 1965 paper with a footnote that introduced a new quark quantum number now known as color caused a response [arXiv:0908.2772] that is seen, perhaps contrary to what it was intended to convey, to…

History and Philosophy of Physics · Physics 2009-12-16 Fyodor V. Tkachov

The physics observables dedicated to the study of color transparency are diverse. After a brief pedagogical introduction, we emphasize the complementarity of the nuclear filtering and color transparency concepts. The importance of quantum…

High Energy Physics - Phenomenology · Physics 2007-05-23 Bernard Pire

Quantum chromodynamics is the quantum gauge field theory that describes the strong interactions. This article reviews the basic structure, successes and challenges of quantum chromodynamics as it manifests itself at short and long…

High Energy Physics - Phenomenology · Physics 2007-05-23 George Sterman

Measurement outcomes of a quantum state can be genuinely random (unpredictable) according to the basic laws of quantum mechanics. The Heisenberg-Robertson uncertainty relation puts constrains on the accuracy of two noncommuting observables.…

Quantum Physics · Physics 2017-09-13 Xiao Yuan , Ge Bai , Tianyi Peng , Xiongfeng Ma
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