Mass of Strings: E=MC2 & Measurable Mass?

In summary, strings are subject to quantization of vibration modes, with each mode having a frequency and energy that corresponds to a rest mass. Solving this problem for strings is difficult, but it results in an energy and mass spectrum. The lowest modes correspond to massless particles, while higher vibration modes correspond to massive particles. The mass scale is determined by one free parameter of the theory. To learn more about the quantum harmonic oscillator, it is recommended to start with beginner-level resources in physics.
  • #1
john.spidey
4
0
If e=mc2 and strings are a form of energy will they not have a measurable mass?
 
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  • #2
In the most simple models strings are subject to quantization of vibration modes. Each mode has a frequency and therefore an energy just like the usual modes of the one-dim. quantum harmonic oscillator. Therefore each mode corresponds to a certain vibration energy E which then corresponds to a certain rest mass m defined by E = mc².

Solving this problem for strings is rather difficult (even for non-interacting, bosonic strings w/o compactified extra dimensions), but the result is indeed an energy spectrum and therefore a mass spectrum. Only the lowest modes correspond to massles particles, the higher vibration modes correspond to massive particles; the mass scale is determined by one free parameter of the theory.
 
  • #3
I am extremely amateur in the realm of physics and have only recently taken up reading about it because it has captivated my imagination. I would like to read more about quantum harmonic oscillator. Can you recommend something to get started?
 

Related to Mass of Strings: E=MC2 & Measurable Mass?

1. What is the significance of E=MC2 in relation to the mass of strings?

The equation E=MC2, also known as the mass-energy equivalence formula, relates the mass of an object to its energy content. In the context of strings, this equation helps us understand that the energy stored within a string is directly proportional to its mass. This has important implications for string theory and our understanding of the fundamental building blocks of the universe.

2. How is the mass of strings measured?

The mass of strings is measured using a variety of techniques, including scattering experiments and calculations based on the string tension and length. However, due to the extremely small size of strings (estimated to be about 10^-35 meters), it is currently impossible to directly measure their mass in a laboratory setting.

3. Are strings considered to have a measurable mass?

Yes, strings are considered to have a measurable mass, although it is incredibly small and difficult to measure. In string theory, the mass of a string is determined by its vibrational frequency, with higher frequencies corresponding to higher masses. However, since strings are so tiny, their mass is currently beyond the capabilities of our technology to measure directly.

4. Does the mass of strings affect the behavior of the universe?

Yes, the mass of strings plays a crucial role in the behavior and structure of the universe. In string theory, the masses of strings determine the strength of their interactions with other strings and particles, which in turn affects the formation and evolution of matter and energy in the universe.

5. Is the mass of strings a fixed value?

No, the mass of strings is not a fixed value. According to string theory, the mass of a string is determined by its vibrational state, and strings can vibrate at different frequencies, leading to different masses. Additionally, the theory of quantum mechanics suggests that the mass of a string can fluctuate over time due to the uncertainty principle.

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