It has been said that particle identity relates to vibrational modes of its quantum string. However, I have not seen the identification of a particle related to a specific vibrational mode. At a conference I asked a physicist what in the mathematics of quantum physics led to the idea that there were actually strings. He said it was because of the harmonic nature of the results. That would lead one to believe that the fundamental mode might result in a certain particle, the next mode (three nodes and anti-nodes) would result in an another particle, four nodes and anti-nodes another, and so on. Apparently it's not so simple because all of the pictorial representations of strings show them vibrating in complex modes, rather than pure harmonics.
My questions are:
- Is there any correspondence between the harmonic vibration of a string and the particle's identity?
- Do strings have different lengths, or are all closed strings, for example, the same length?