Does integration of quantum loops become a string theory?

[Dcase]

Is it possible to integrate quantum loops into helical quantum loops which might be related to twistor string theory?

Wilson lines / loops are common to both quantum loop gravity [QLG] and the various string theories [ST].

As I attempt to understand QLG and ST, I developed some speculative analogies.

Since various mental models can be constructed, this speculation may rise to a conjecture.
Probably a Smolin or Witten will be needed for proof if this is possible.
It may be that this is contained within the proof of the ‘Moonshine’ Monster simple group by Borcherds.

Model 1 - Substitute helicoids [springs or slinky-toys] for all loops in the Rovelli home page 3D-image for LQG.
http://www.cpt.univ-mrs.fr/%7Erovell...um_gravity.jpg

At first, such a substitution appears to yield a fourth dimension representing time. But since the helical angle can also vary, this may be a fifth dimension resulting in helical quantum loops that are not necessarily identical.

Model 2 - This image from SOLARIA BINARIA by Alfred de Grazia and Earl R. Milt might represent planetary orbital loops when time-independent of the sun. When the sun is in motion, then these relatively simple loops are transformed into helical planetary orbital loops which are time-dependent on the sun.
http://www.grazian-archive.com/quantavolution/QuantaHTML/vol_05/figs/sb_f14.jpg

Model 3 - Quantum loops might be represented by planar modulo arithmetic [or clock arithmetic]. Helical modulo arithmetic might then represent helical quantum loops.

Another example may be in noting that an end-on view of the 3D helices in AC electricity phasor equations [Grassman Algebra] and QM Schroedinger wave equations [Clifford Algebra] are in a loop configuration.

Ian Balitsky in ‘High-Energy QCD and Wilson Lines’ discusses straight lines in his abstract:
“At high energies the particles move very fast so their trajectories can be approximated by straight lines collinear to their velocities. The proper degrees of freedom for the fast gluons moving along the straight lines are the Wilson lines -- infinite gauge factors ordered along the straight line. I discuss the small-x evolution and the high-energy effective action in terms of Wilson-line degrees of freedom.”

Straight lines in the usual anthropic perspective of cartesian coordinates may become curves in log-polar [spherical or elliptical] coordinates.

Straight lines on a flat map of sea lanes or air flights become great circles on a globe.

Conversely, the derivative of a helical quantum loop may be quantum loop.

This might be demonstrated by cross sections of a rifled gun barrel.

Consider the discussion of a ‘twistor machine' by Lilja Precision Rifle Barrels, Inc.
"We feel very fortunate to have recently obtained a twist deviation inspection machine ... This device checks the twist rate of a rifle barrel and determines if there is any deviation to the actual rate."
“Here is a view of the helical rifling guide that controls the twist rate on the "pull" end of the button/rod."
http://www.riflebarrels.com/articles/barrel_making/twist_machine.htm

 

[AndyW]

Hello, thank you for your post. I am always interested in exploring new ideas and theories in the field of physics. While I am not an expert in quantum loop gravity or string theory, I can offer some insights and thoughts on the topic.

Firstly, I think it is important to clarify that the concept of helical quantum loops is not a well-established or widely accepted theory in the scientific community. It appears to be a speculative idea at this point, and as you mentioned, would require further research and validation from experts in the field.

That being said, I can see some potential connections between helical quantum loops and twistor string theory. Twistor theory, developed by Roger Penrose, is a mathematical framework that aims to unify quantum mechanics and general relativity. It involves the use of complex numbers and spinor algebra to describe the fundamental particles and interactions in the universe.

Similarly, helical quantum loops also involve the use of complex numbers and can potentially describe the behavior of particles at a quantum level. It is possible that incorporating helical quantum loops into twistor theory could provide a deeper understanding of the relationship between quantum mechanics and general relativity.

However, as with any new idea or theory, it is important to approach it with a critical and scientific mindset. This means conducting rigorous research and experiments to test the validity of the theory and seeking feedback and collaboration from other experts in the field.

In conclusion, while the idea of integrating helical quantum loops into twistor string theory may hold promise, it is still a speculative concept that requires further exploration and validation. I would encourage you to continue exploring this idea and collaborate with other scientists in the field to further develop and test it.

 

[Entropia]

The integration of quantum loops into string theory is a topic of ongoing research and debate in the scientific community. While there are some similarities between quantum loop gravity and string theory, they are still distinct theories with their own unique approaches to understanding the fundamental nature of the universe.

At this time, it is not clear if integrating quantum loops would result in a fully developed string theory. However, there are some intriguing potential connections, such as the use of helical quantum loops in twistor string theory.

It is possible that further research and exploration may reveal a deeper relationship between these two theories, and it is certainly worth investigating. However, as with any scientific endeavor, it will require rigorous testing and validation by experts in the field before any conclusions can be made.

It is also important to note that while speculation and analogies can be useful in developing new ideas and theories, they must ultimately be supported by empirical evidence and mathematical proofs. Only then can we truly determine if the integration of quantum loops can lead to a more comprehensive understanding of string theory.