Exploring Born Reciprocity in String Theory

In summary, Laurent Freidel is working on string theory again. His earlier paper, with Krasnov and Livine, which had a remark on the subject was Holomorphic Factorization for a Quantum Tetrahedron. In this new letter, Freidel, along with Robert G. Leigh and Djordje Minic, incorporates the concept of Born reciprocity to propose a new perspective on string theory. This approach suggests that spacetime is a derived dynamical concept and the fundamental symmetry of string theory includes phase space diffeomorphism invariance. The authors also introduce the concept of Born geometry, which resembles para-quaternionic geometry, to describe the underlying string geometry. It is noted that this approach may have been motivated by the
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atyy
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Laurent Freidel is working on string theory again. His earlier paper, with Krasnov and Livine, which had a remark on the subject was Holomorphic Factorization for a Quantum Tetrahedron

http://arxiv.org/abs/1307.7080
Born Reciprocity in String Theory and the Nature of Spacetime
Laurent Freidel, Robert G. Leigh, Djordje Minic
(Submitted on 26 Jul 2013)
After many years, the deep nature of spacetime in string theory remains an enigma. In this letter we incorporate the concept of Born reciprocity in order to provide a new point of view on string theory in which spacetime is a derived dynamical concept. This viewpoint may be thought of as a dynamical chiral phase space formulation of string theory, in which Born reciprocity is implemented as a choice of a Lagrangian submanifold of the phase space, and amounts to a generalization of T-duality. In this approach the fundamental symmetry of string theory contains phase space diffeomorphism invariance and the underlying string geometry should be understood in terms of dynamical bi-Lagrangian manifolds and an apparently new geometric structure, somewhat reminiscent of para-quaternionic geometry, which we call Born geometry.
 
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  • #2
Somewhere along the paper I had the impression he is trying to fix the LQG' anomaly.
 
  • #3
MTd2 said:
Somewhere along the paper I had the impression he is trying to fix the LQG' anomaly.

Yeah, just do string theory and there's no anomaly, good fix!

I guess the motivation is the curved momentum space and relative locality ideas which did come from LQG because one could get non-commutative field theory from GFT like in http://arxiv.org/abs/hep-th/0512113
 

Related to Exploring Born Reciprocity in String Theory

1. What is string theory and how does it relate to Born reciprocity?

String theory is a theoretical framework in physics that attempts to unify the four fundamental forces of nature: gravity, electromagnetism, strong nuclear force, and weak nuclear force. It proposes that the fundamental building blocks of the universe are not particles, but rather tiny, vibrating strings. Born reciprocity is a principle within string theory that describes the symmetry between the energy and momentum of particles.

2. What is the significance of exploring Born reciprocity in string theory?

By exploring Born reciprocity in string theory, we can gain a better understanding of the fundamental laws that govern our universe. This can potentially lead to new insights and advancements in our understanding of physics, as well as potential applications in other fields such as technology and engineering.

3. How do scientists study Born reciprocity in string theory?

Scientists study Born reciprocity in string theory through mathematical calculations and simulations. They use complex equations and computer models to explore the behavior of strings and how they interact with one another in different scenarios. They also conduct experiments and observations to test the predictions made by string theory.

4. Are there any real-world applications of Born reciprocity in string theory?

While string theory is still a theoretical framework and has not yet been fully proven, there are potential real-world applications of Born reciprocity. For example, the principles of string theory have been used in the development of new technologies, such as quantum computing and advanced materials.

5. What are some current challenges in exploring Born reciprocity in string theory?

One of the biggest challenges in exploring Born reciprocity in string theory is the lack of experimental evidence. As string theory deals with phenomena at a very small scale, it is difficult to test its predictions through experiments. Additionally, there are many different versions and interpretations of string theory, making it a complex and ongoing area of research.

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