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M-theory

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M-theory is a theoretical framework in physics that seeks to unify all consistent versions of superstring theory. For a long time, scientists worked with five different versions of string theory. These versions appeared to be separate and distinct from one another. However, M-theory suggests that these five theories are actually different parts of one single, larger system. This theory is a candidate for a quantum theory of gravity. It aims to reconcile general relativity, which explains gravity, with quantum mechanics, which explains tiny particles.

Edward Witten
Edward Witten

To understand M-theory, one must first understand the concept of strings. In standard particle physics, particles are seen as tiny points. String theory replaces these points with one-dimensional objects called strings. These strings can be open segments or closed loops.

Open and closed strings
Open and closed strings

As a string vibrates, it creates different properties like mass and charge. One specific vibrational state even creates the graviton, a particle that carries gravitational force. This allows all elementary particles to be viewed as different vibrations of the same fundamental string.

While string theory requires ten dimensions of spacetime, M-theory requires eleven dimensions. This includes ten spatial dimensions and one time dimension. We only experience four dimensions: three of space and one of time. Physicists suggest the extra dimensions are hidden through a process called compactification. In compactification, extra dimensions curl up into extremely small circles.

Compactification example
Compactification example

You can imagine a garden hose from a great distance. It looks like a one-dimensional line. However, if you move closer, you see its circular circumference. This second dimension is present but not obvious from far away.

Edward Witten changed the field of physics in 1995. He first conjectured the existence of M-theory at a conference at the University of Southern California. This announcement triggered a period of intense research known as the second superstring revolution.

Limits of M-theory
Limits of M-theory

Before Witten, physicists had identified five versions of superstring theory: Type I, Type IIA, Type IIB, and two versions of heterotic string theory. Witten showed these were not separate, but were related through mathematical transformations.

These connections are known as dualities. Dualities occur when two different mathematical descriptions actually represent the same physical phenomena. One type is S-duality, which relates theories where particles interact strongly to theories where they interact weakly. For example, Type I string theory is equivalent to heterotic string theory via S-duality. Another type is T-duality, which involves strings moving around circular dimensions.

StringTheoryDualities
StringTheoryDualities

T-duality shows that a string moving around a circle of one size is equivalent to a string on a circle of a different size. Under T-duality, Type IIA and Type IIB theories are linked.

M-theory also introduces higher-dimensional objects called branes. The term "brane" comes from the word "membrane," which describes a two-dimensional object. Branes generalize the idea of a point particle to many dimensions. A zero-dimensional brane is a point, while a one-dimensional brane is a string. Higher-dimensional versions are called p-branes.

These branes are dynamical objects that can move through spacetime. They possess attributes like mass and charge, just like particles.

Scientists are still working to find a complete formulation of M-theory. Currently, the theory is approximated by eleven-dimensional supergravity at low energies. Modern research often uses matrix theory or the AdS/CFT correspondence to study its structure. Some physicists hope M-theory will provide a unified theory for all fundamental forces of nature. However, attempts to connect the theory to real-world experiments through compactification have not yet been verified by high-energy physics experiments. Even the name remains a mystery. Edward Witten suggested the "M" could stand for "magic," "mystery," or "membrane."

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🖼️ Images & Media (9)
File:Open and closed strings.svg
Open and closed strings.svg
File:Compactification example.svg
Compactification example.svg
File:StringTheoryDualities.svg
StringTheoryDualities.svg
File:Edward Witten.jpg
Edward Witten.jpg
File:Limits of M-theory.svg
Limits of M-theory.svg
File:Uniform tiling 433-t0 (formatted).svg
Uniform tiling 433-t0 (formatted).svg
File:AdS3.svg
AdS3.svg
File:Knot table-blank unknot.svg
Knot table-blank unknot.svg
File:Calabi yau formatted.svg
Calabi yau formatted.svg
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