M^{\mu \nu} Tau-Indep: Zwiebach Pg 229

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In summary, M^{\mu \nu} Tau-Indep is a mathematical notation used in theoretical physics to represent the energy-momentum tensor, introduced by physicist Barton Zwiebach in his book "A First Course in String Theory". In string theory, it is used to describe the energy and momentum of strings and is tau-independent, meaning it is independent of the choice of coordinates. This concept is important in theoretical physics as it allows for a consistent description of energy and momentum in the universe.
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ehrenfest
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Homework Statement


Why does Zwiebach say that M^{\mu \nu} is guarenteed to be tau-independent in the paragraph below equation 12.155?

Homework Equations


The Attempt at a Solution

 
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See the discussion between equations (8.61) and (8.62) on page 144.
 

1. What is M^{\mu \nu} Tau-Indep?

M^{\mu \nu} Tau-Indep is a mathematical notation used in theoretical physics to represent the energy-momentum tensor, which describes the energy and momentum density of a system. It is commonly used in theories of gravity, such as general relativity.

2. Who introduced the concept of M^{\mu \nu} Tau-Indep?

M^{\mu \nu} Tau-Indep was introduced by physicist Barton Zwiebach in his book "A First Course in String Theory". Zwiebach is a professor of physics at the Massachusetts Institute of Technology (MIT) and has made significant contributions to the field of string theory.

3. How is M^{\mu \nu} Tau-Indep used in string theory?

In string theory, M^{\mu \nu} Tau-Indep is used to describe the energy and momentum of a string, which is the fundamental building block of the universe according to this theory. The energy-momentum tensor, represented by M^{\mu \nu} Tau-Indep, is used to describe the dynamics of strings in spacetime.

4. What does the "Tau-Indep" in M^{\mu \nu} Tau-Indep stand for?

The "Tau-Indep" in M^{\mu \nu} Tau-Indep stands for "tau-independent", meaning that the energy-momentum tensor is independent of the choice of coordinates (represented by the Greek letter tau). This is important in general relativity, where the laws of physics should be independent of the observer's frame of reference.

5. Why is M^{\mu \nu} Tau-Indep important in theoretical physics?

M^{\mu \nu} Tau-Indep is important in theoretical physics because it allows us to mathematically describe the energy and momentum of a system in a way that is consistent with the laws of relativity. It is a fundamental concept in theories of gravity, such as general relativity and string theory, and is essential for understanding the behavior of matter and energy in the universe.

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