Left-right arrow in Einstein equation

  • #1

etotheipi

Short, probably stupid, question; what does this left-right arrow ##a \leftrightarrow b## at the bottom-right mean? [It's this paper for ref.]
1617491248432.png

Does it just mean the last term repeated, except this time with ##a## and ##b## indices exchanged? Thanks.
 
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  • #2
LHS is symmetric as for a nd b so RHS is also. So your thought seems reasonable.
 
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  • #3
Why is this thread on the Last week's most popular topics list?
 
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1. What is the significance of the left-right arrow in Einstein's equation?

The left-right arrow in Einstein's equation represents the concept of equivalence. It shows that the two sides of the equation are equal in terms of physical laws and principles.

2. Why is the left-right arrow important in understanding Einstein's theory of relativity?

The left-right arrow is crucial in understanding Einstein's theory of relativity because it represents the relationship between mass, energy, and the curvature of spacetime. It shows that these concepts are interconnected and can be converted into one another.

3. How does the left-right arrow relate to the concept of mass-energy equivalence?

The left-right arrow in Einstein's equation, E=mc^2, shows that mass and energy are equivalent and can be converted into one another. This concept is known as mass-energy equivalence and is a fundamental principle in Einstein's theory of relativity.

4. Is the left-right arrow a universal symbol in physics or is it specific to Einstein's equation?

The left-right arrow is a universal symbol in physics and is used to represent the concept of equivalence in various equations and principles. However, it is most commonly associated with Einstein's equation due to its significance in his theory of relativity.

5. Can the left-right arrow be used in other areas of science besides physics?

Yes, the left-right arrow can be used in other areas of science besides physics. It is a general symbol for showing equivalence and can be applied in fields such as chemistry, biology, and engineering.

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