Uncovering the Limitations of Feynman's Quantum Gravity Calculations

In summary, Feynman presented QED and quantum gravity calculations in his book "The Strange Theory of Light and Matter". He also has a lecture book on gravity, which focuses on building classical gravity using quantum field theory methods. However, this book does not strictly cover quantum gravity. The last chapters, where Feynman attempted a full quantum version, were not included due to his lack of success. The available parts of the book are outdated and have more historical and pedagogical value. Nonetheless, it provides insight into how Feynman approached new problems.
  • #1
exponent137
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Feynman very clearly presented QED in his book The strange theory of light and matter. He tried also with quantum gravity calculations. But, how to clearly present, why his calculations did not lead to quantum gravity.
 
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Feynman has a lecture book on gravity available. However, it is not strictly speaking a book on quantum gravity. It is a book where classical gravity is built out of quantum field theory methods : how (and whether) Einstein's gravity uniquely results from massless spin 2 exchange. The construction is plausible, yet not necessarily unique mathematically speaking.

Specifically, the last chapters of the lecture where he attempted the full quantum version (to renormalize loops) have not been included, as Feynman decided because he was not successful and did not feel the material could be useful. Many parts of the book which are available are also somehow outdated and mostly have a historical and pedagogical value. It is nonetheless interesting to read how Feynman attempts to tackle new problems.
 

Related to Uncovering the Limitations of Feynman's Quantum Gravity Calculations

1. What is Feynman's contribution to the study of quantum gravity?

Feynman's contribution to the study of quantum gravity is his formulation of the path integral approach, which is a mathematical tool used to calculate the probabilities of different outcomes in quantum systems. He also proposed the idea of summing over all possible histories of a particle in order to calculate its behavior, which is known as the Feynman diagrams.

2. How does Feynman's approach to quantum gravity differ from other theories?

Feynman's approach to quantum gravity differs from other theories in that it combines the principles of quantum mechanics and general relativity. His approach focuses on the idea of space-time as a continuous fabric and uses the path integral formulation to calculate the effects of gravity on quantum particles.

3. What are the challenges in developing a theory of quantum gravity?

The main challenge in developing a theory of quantum gravity is reconciling the principles of quantum mechanics and general relativity, which are currently incompatible. Another challenge is the lack of experimental data to test and validate theories of quantum gravity.

4. How does Feynman's theory of quantum gravity explain the behavior of particles at the subatomic level?

Feynman's theory of quantum gravity explains the behavior of particles at the subatomic level through the use of Feynman diagrams. These diagrams show the different possible paths a particle can take and the likelihood of each path occurring. The theory also takes into account the effects of gravity on these particles.

5. What impact has Feynman's work had on the study of quantum gravity?

Feynman's work has had a significant impact on the study of quantum gravity. His approach has provided a new way of understanding the behavior of particles at the subatomic level and has opened up new avenues for research in the field. His contributions have also influenced the development of other theories, such as string theory, which incorporate elements of his path integral formulation.

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