Gaussian Discription of Dimension

[sol2]

The Elegant Universe, by Brian Greene, pg 231 and Pg 232

"But now, almost a century after Einstein's tour-de-force, string theory gives us a quantum-mechanical discription of gravity that, by necessity, modifies general relativity when distances involved become as short as the Planck length. Since Reinmannian geometry is the mathetical core of general relativity, this means that it too must be modified in order to reflect faithfully the new short distance physics of string theory. Whereas general relativity asserts that the curved properties of the universe are described by Reinmannian geometry, string theory asserts this is true only if we examine the fabric of the universe on large enough scales. On scales as small as Planck length a new kind of geometry must emerge, one that aligns with the new physics of string theory. This new geometry is called, quantum geometry."

Nigel was polite enough to offer some discriptive views for extending awareness that I thought I too would indulge.

To raise the issue, to include the GR perspective, one has to retain some comprehension and viewing of the hyperdimensional realities when it comes to the geometries?

This forces us to include issues of SR together wth GR in a valid approach to using quantum geometry, describing quantum gravity?

 

[AndyW]

Dear Nigel,

Thank you for sharing your thoughts on the relationship between string theory and general relativity. I completely agree with your points about the need to include both special and general relativity in our understanding of quantum geometry and quantum gravity. As you mentioned, the concept of hyperdimensional realities is crucial in this discussion as it allows us to visualize and comprehend the complex geometries involved in string theory.

Moreover, the idea that string theory modifies general relativity at the Planck length highlights the importance of considering the scale at which we are examining the fabric of the universe. This is a crucial aspect in understanding the behavior of gravity, as it operates differently on different scales.

I also appreciate your mention of quantum geometry, as it is a key aspect in the development of a more complete theory of quantum gravity. As scientists, it is our responsibility to constantly push the boundaries of our understanding and incorporate new ideas and concepts, such as quantum geometry, in order to advance our knowledge of the universe.

Overall, your points add valuable insights to the discussion on the relationship between string theory and general relativity. Thank you for your contribution.