Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Theorems of Pappus and Guldinus

Theorems of Pappus and Guldinus

The two theorems developed by Pappus and Guldinus are widely used in mathematics, engineering, and physics to find the surface area and volume of any body of revolution. This is done by revolving a plane curve around an axis that does not intersect the curve to find its surface area or revolving a plane area around a non-intersecting axis to calculate its volume.
For finding the surface area, consider a differential line element that generates a ring with surface area dA when revolved.

Theorems of Pappus and Guldinus: Problem Solving

Theorems of Pappus and Guldinus: Problem Solving

Pappus and Guldinus's theorems are powerful mathematical principles that are used for finding the surface area and volume of composite shapes. For example, consider a cylindrical storage tank with a conical top. Finding the surface area or volume can be challenging for such complex shapes. These theorems are particularly useful in calculating the volume and surface area of such systems. Here, the cylindrical storage tank with a conical top can be broken down into two simple shapes: a...

Norton's Theorem

Norton's Theorem

Norton's theorem is a fundamental principle stating that a linear two-terminal circuit can be substituted with an equivalent circuit, which comprises a current source (ⅠN) in parallel with a resistor (RN). Here, ⅠN represents the short-circuit current flowing through the terminals, and RN stands for the input or equivalent resistance at the terminals when all independent sources are deactivated. This implies that the circuit illustrated in Figure (a) can be exchanged with the...

Second Uniqueness Theorem

Second Uniqueness Theorem

Consider a region consisting of several individual conductors with a definite charge density in the region between these conductors. The second uniqueness theorem states that if the total charge on each conductor and the charge density in the in-between region are known, then the electric field can be uniquely determined.
In contrast, consider that the electric field is non-unique and apply Gauss's law in divergence form in the region between the conductors and the integral form to the...

Castigliano's Theorem

Castigliano's Theorem

Castigliano's theorem analyzes displacements and rotations in elastic structures. It relates the derivative of elastic strain energy to the applied forces or moments, allowing for the calculation of deformations. The theorem states that the partial derivative of the total strain energy of a system with respect to a specific load results in the displacement at the point where the load is applied. This principle applies to both forces and moments.

Thevinin's Theorem

Thevinin's Theorem

Thévenin's theorem plays a pivotal role in electrical circuit analysis, offering a solution to the challenges posed by variable loads within a circuit. In practical applications, it is common to encounter circuits where certain elements remain fixed while others fluctuate, often referred to as the "load." A typical household electrical outlet serves as a prime example of a variable load, as it can be connected to a variety of appliances, each with its own unique electrical...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Schrödinger's Cat Meets Occam's Razor.

Entropy (Basel, Switzerland)·2022

Same author

Comment on 'Quantum correlations are weaved by the spinors of the Euclidean primitives'.

Royal Society open science·2022

Same author

Correction: Gill, R.D. Does Geometric Algebra Provide a Loophole to Bell's Theorem? <i>Entropy</i> 2020, <i>22</i>, 61.

Entropy (Basel, Switzerland)·2021

Same author

Pearle's Hidden-Variable Model Revisited.

Entropy (Basel, Switzerland)·2020

Same author

Does Geometric Algebra Provide a Loophole to Bell's Theorem?

Entropy (Basel, Switzerland)·2020

Same author

The Triangle Wave Versus the Cosine: How Classical Systems Can Optimally Approximate EPR-B Correlations.

Entropy (Basel, Switzerland)·2020

Same journal

Research on a Regional Availability Evaluation Model for Road-Area High-Entropy Energy Based on Synergy Factors.

Entropy (Basel, Switzerland)·2026

Same journal

Atmospheric Turbulence Channel Modeling and Performance Analysis of a CO-ZP-OFDM Coherent Optical Communication System for UAV Air-to-Ground Scenarios.

Entropy (Basel, Switzerland)·2026

Same journal

Information Geometry and Asymptotic Theory for SMML Estimators.

Entropy (Basel, Switzerland)·2026

Same journal

Correlation Entropy and Power-Law Kinetics.

Entropy (Basel, Switzerland)·2026

Same journal

Research on the Contagion of Systemic Financial Risk Under the Impact of Climate Risks-From the Perspective of Complex Networks and Machine Learning.

Entropy (Basel, Switzerland)·2026

Same journal

The Statistical-Mechanical Meaning of the Wave Function of Quantum Mechanics.

Entropy (Basel, Switzerland)·2026

See all related articles

Search research articles

Related Experiment Video

Updated: Sep 21, 2025

Probing the Limits of Egg Recognition Using Egg Rejection Experiments Along Phenotypic Gradients

Probing the Limits of Egg Recognition Using Egg Rejection Experiments Along Phenotypic Gradients

Published on: August 22, 2018

Gull's Theorem Revisited.

Richard D Gill¹

¹Mathematical Institute, Leiden University, P.O. Box 9512, 2300 RA Leiden, The Netherlands.

Entropy (Basel, Switzerland)

|May 28, 2022

Summary

This summary is machine-generated.

Steve Gull

Keywords:

Bell’s theorem EPR-B model Monte Carlo simulation local realism quantum entanglement quantum foundations singlet correlations

More Related Videos

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

Published on: August 12, 2013

Hemi-laryngeal Setup for Studying Vocal Fold Vibration in Three Dimensions

Hemi-laryngeal Setup for Studying Vocal Fold Vibration in Three Dimensions

Published on: November 25, 2017

Related Experiment Videos

Last Updated: Sep 21, 2025

Probing the Limits of Egg Recognition Using Egg Rejection Experiments Along Phenotypic Gradients

Probing the Limits of Egg Recognition Using Egg Rejection Experiments Along Phenotypic Gradients

Published on: August 22, 2018

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

Published on: August 12, 2013

Hemi-laryngeal Setup for Studying Vocal Fold Vibration in Three Dimensions

Hemi-laryngeal Setup for Studying Vocal Fold Vibration in Three Dimensions

Published on: November 25, 2017

Area of Science:

Theoretical Physics
Computer Science
Information Theory

Background:

Bell's theorem is a cornerstone of quantum mechanics, demonstrating the non-classical nature of reality.
Previous interpretations of Bell's theorem have focused on quantum computing.
Steve Gull proposed an alternative proof of Bell's theorem utilizing Fourier theory in 2016.

Purpose of the Study:

To present and clarify Steve Gull's proof of Bell's theorem using Fourier theory.
To reframe Bell's theorem as a no-go theorem for classical distributed computing.
To address and fill gaps in Gull's original argument.

Main Methods:

The study revisits Gull's Fourier-theoretic proof of Bell's theorem.
It introduces a third computational element to complete the proof, representing a source of shared randomness.
The method involves rewriting expectations conditional on hidden variables.

Main Results:

The proof of Bell's theorem is completed by incorporating a third computer for shared randomness.
Gull's argument is validated and extended, correcting identified misprints and gaps.
The theorem is demonstrated to be a no-go theorem for classical distributed computing.

Conclusions:

Bell's theorem, through Gull's Fourier-theoretic approach, has implications beyond quantum mechanics.
The proof highlights the necessity of shared independent and identically distributed (i.i.d.) randomness in classical distributed computing.
This work reframes the understanding of Bell's theorem within the context of classical computation and information theory.