- #1
Dcase
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I have been reading about string theory, most recently about twistor string theory.
I think that I have a basic understanding, but certainly am no expert.
The helix is an important structure in transmitting information of various types:
- music theory mathematics [wave and matrix]
- only known structure capable of reproducing and adapting at the cellular gauge
- 3D form of Schroedinger equation [and Heisenberg equivalent] in QM
- 3D form of Steinmetz phasor equations in EE AC electricity
Simple and complex harmonic oscillators are known to exist.
If vibrating stings are like these entities, then is gauge the only difference?
If not, what are the differences?
Does gauge theory extend to the planetary, stellar and galactic range of GR / SR?
Or is gauge theory limited to the QM range?
Helicity is emphasized in in twistor string theory.
Does this refer to the helical trajectories found in mechanics and ballistics?
If so, then should helicity become a dimension like the string dimension used by Borcherds in the proof of Monstrous Moonshine?
If so, does twistor string theory become a subset of Monstrous Moonshine?
Dimension seems to be used in multiple ways by various authors.
The Calabi-Yau manifold has three real and three imaginary axes.
This appears to be treated as six total dimensions in M-theory.
But this appears to be treated as three complex dimensions in twistor string theory.
[VERY SPECULATIVE] - Yet could this not be treated as one spatial dimension if dimension is rigidly defined as “degree of freedom”?
Caspar Wessel in 1797 appeared to have demonstrated the imaginary unit was rotated one unit counterclockwise from the real line - not really a degree of freedom.
One could argue that Wessel thus demonstrated that that the imaginary unit is more ‘invisible’ than imaginary.
Perhaps one could argue that since the real y and z axes are both orthogonal to the real x-axis - that these are really not degrees of freedom.
I think that I have a basic understanding, but certainly am no expert.
The helix is an important structure in transmitting information of various types:
- music theory mathematics [wave and matrix]
- only known structure capable of reproducing and adapting at the cellular gauge
- 3D form of Schroedinger equation [and Heisenberg equivalent] in QM
- 3D form of Steinmetz phasor equations in EE AC electricity
Simple and complex harmonic oscillators are known to exist.
If vibrating stings are like these entities, then is gauge the only difference?
If not, what are the differences?
Does gauge theory extend to the planetary, stellar and galactic range of GR / SR?
Or is gauge theory limited to the QM range?
Helicity is emphasized in in twistor string theory.
Does this refer to the helical trajectories found in mechanics and ballistics?
If so, then should helicity become a dimension like the string dimension used by Borcherds in the proof of Monstrous Moonshine?
If so, does twistor string theory become a subset of Monstrous Moonshine?
Dimension seems to be used in multiple ways by various authors.
The Calabi-Yau manifold has three real and three imaginary axes.
This appears to be treated as six total dimensions in M-theory.
But this appears to be treated as three complex dimensions in twistor string theory.
[VERY SPECULATIVE] - Yet could this not be treated as one spatial dimension if dimension is rigidly defined as “degree of freedom”?
Caspar Wessel in 1797 appeared to have demonstrated the imaginary unit was rotated one unit counterclockwise from the real line - not really a degree of freedom.
One could argue that Wessel thus demonstrated that that the imaginary unit is more ‘invisible’ than imaginary.
Perhaps one could argue that since the real y and z axes are both orthogonal to the real x-axis - that these are really not degrees of freedom.