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plus.maths.org opens a door onto the world of maths, for anyone who is curious about the world and the maths that is changing our lives!
Symmetries are usually described by an area of #maths called group theory, quick intro here plus.maths.org/content/grou... #maths #physics
Groups: The basics
Group theory is the mathematics of symmetry and structure. On this page, find out what a group is and how to think about them.
plus.maths.org
November 5, 2025 at 4:41 PM
Symmetries are usually described by an area of #maths called group theory, quick intro here plus.maths.org/content/grou... #maths #physics
That's because the concept of #symmetry lies at the heart of #physics (see for example this article plus.maths.org/content/symm...) #maths #math
plus.maths.org
November 5, 2025 at 4:40 PM
That's because the concept of #symmetry lies at the heart of #physics (see for example this article plus.maths.org/content/symm...) #maths #math
But as we're currently finding out, category theory is exactly what you need in various areas of physics (we're learning this from participants of a research programme that is taking place at the Newton Institute) www.newton.ac.uk/event/bid/ #maths #math #physics
Quantum field theory with boundaries, impurities, and defects - Isaac Newton Institute
Boundaries, impurities, and defects (BIDs) are crucial for understanding many of the most important systems in modern physics. Prominent examples include...
www.newton.ac.uk
November 5, 2025 at 4:40 PM
But as we're currently finding out, category theory is exactly what you need in various areas of physics (we're learning this from participants of a research programme that is taking place at the Newton Institute) www.newton.ac.uk/event/bid/ #maths #math #physics
It usually refers to something called category theory. Here's a brief introduction plus.maths.org/content/math... #maths #math #physics
November 5, 2025 at 4:39 PM
It usually refers to something called category theory. Here's a brief introduction plus.maths.org/content/math... #maths #math #physics
November 3, 2025 at 12:22 PM
#Quantum #computing is sophisticated but here's a quick introduction we produced recently plus.maths.org/content/math...
November 3, 2025 at 12:21 PM
#Quantum #computing is sophisticated but here's a quick introduction we produced recently plus.maths.org/content/math...
You can find out more about #quantum tunnelling (with some basic #maths) here: plus.maths.org/content/schr... #physics #NobelPrize #nobelprize2025
Schrödinger's equation — in action
In the previous article we introduced Schrödinger's equation and its solution, the wave function, which contains all the information there is to know about a quantum system. Now it's time to see the e...
plus.maths.org
October 8, 2025 at 8:34 AM
You can find out more about #quantum tunnelling (with some basic #maths) here: plus.maths.org/content/schr... #physics #NobelPrize #nobelprize2025
Such #quantum effects are usually only observed at very very small scales, but the laureates conducted experiments in which they demonstrated both tunnelling and quantised energy levels in a system big enough to be held in the hand. #physics #NobelPrize
October 8, 2025 at 8:31 AM
Such #quantum effects are usually only observed at very very small scales, but the laureates conducted experiments in which they demonstrated both tunnelling and quantised energy levels in a system big enough to be held in the hand. #physics #NobelPrize
#Quantum tunnelling is possible because in quantum mechanics particles can acquire energy from out of nowhere for very brief moments of time, which allows a particle to "tunnel" through an energy barrier #physics #NobelPrize
October 8, 2025 at 8:31 AM
#Quantum tunnelling is possible because in quantum mechanics particles can acquire energy from out of nowhere for very brief moments of time, which allows a particle to "tunnel" through an energy barrier #physics #NobelPrize
#Quantum mechanics is hard and quantum tunnelling is weird. But here's a basic intro that gives you a sense of both plus.maths.org/content/ridi... #physics #NobelPrize
A ridiculously short introduction to some very basic quantum mechanics
Some general ideas in very few words and without equations.
plus.maths.org
October 8, 2025 at 8:31 AM
#Quantum mechanics is hard and quantum tunnelling is weird. But here's a basic intro that gives you a sense of both plus.maths.org/content/ridi... #physics #NobelPrize
To see all our content on gravitational waves, go here plus.maths.org/content/tags... #maths #physics
gravitational wave | plus.maths.org
plus.maths.org
October 1, 2025 at 3:57 PM
To see all our content on gravitational waves, go here plus.maths.org/content/tags... #maths #physics
You can find out more about why gravitational waves, having travelled across vast expanses of time and space, act as windows on the Universe in this article (partly based on a lecture by Nobel laureate Kip Thorne) plus.maths.org/content/ligo... #maths #physics
New windows on the Universe
Find out what gravitational waves will tell us about the Universe: from understanding its birth to figuring out whether black holes have hairs.
plus.maths.org
October 1, 2025 at 3:56 PM
You can find out more about why gravitational waves, having travelled across vast expanses of time and space, act as windows on the Universe in this article (partly based on a lecture by Nobel laureate Kip Thorne) plus.maths.org/content/ligo... #maths #physics
The detection of gravitational waves also provided the first direct evidence of the existence of black holes! plus.maths.org/content/blac... #physics #maths
Black holes exist!
Finally we can be sure — black holes, those gravitational monsters that gobble up everything that gets too close to them, do exist.
plus.maths.org
October 1, 2025 at 3:55 PM
The detection of gravitational waves also provided the first direct evidence of the existence of black holes! plus.maths.org/content/blac... #physics #maths