Does the length of a string depend on it's energy?

In summary, the conversation discusses the relationship between the length and energy of a string, as well as the area and energy of a d brane. It is noted that if one is a function of the other, then the inverse is also true. There is a distinction made between a function with no explicit expression and a relation that does not map arguments to values. However, the conversation concludes that this distinction is not significant in this context.
  • #1
Nickyv2423
46
3
Does the length of a string depend on its energy, or does its energy depend on its length? Similarly, does the area of a d brane depend on its energy, or does its energy depend on its energy?
Are these stupid questions?
 
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  • #2
Well, if x(y) is a function of y, then y(x) is a function of x, whether you can explicitly write it down or not :P
 
  • #3
haushofer said:
Well, if x(y) is a function of y, then y(x) is a function of x,

If the function is single valued, at least (which of course it is in the OP's question). Otherwise one gets a relation, not a function.
 
  • #5
haushofer said:
That's what I meant by the part you left out.

Okay. To me there is a difference between a function that has no "explicit expression" (say the Gauss error function), and a relation which simply does not map arguments to values at all. But anyway, it's not worth arguing about this much further here.
 

Related to Does the length of a string depend on it's energy?

1. What is the relationship between the length of a string and its energy?

The length of a string does not directly depend on its energy. However, the energy of a string can affect its length indirectly through factors such as tension and elasticity.

2. Can the length of a string change if its energy remains constant?

Yes, the length of a string can change even if its energy remains constant. This can happen due to external factors such as temperature, or internal factors such as wear and tear.

3. How does tension affect the length of a string?

Tension, or the amount of force applied to a string, can directly affect its length. When tension is increased, the string becomes shorter and vice versa.

4. Does the material of a string impact its length and energy?

Yes, the material of a string can impact both its length and energy. Different materials have different levels of elasticity and stiffness, which can affect how the string responds to changes in energy.

5. Can the length of a string affect its energy?

Yes, the length of a string can affect its energy. This is because the length of a string determines the wavelength of sound waves it produces when plucked, which in turn affects the pitch and perceived energy of the sound.

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