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trees and plants
Hello. What are the problems specifically or mathematically or physically that physicists find difficulty in solving to make a theory of quantum gravity? Thank you.
Concur. While I lack knowledge to comment on the apparent lack of experimental results, Fra Frederick's conclusion appears rigorous. Simplicity requires comparisons as distinguished from reductionism, if only to examine an emergent system beyond an arrangement of parts. Simplicity implies, even demands, the simplest solutions that work; that fit known facts.Fra said:{snip}
So the field is working in darkness without much experimental guidance.
Instead the main guidance is analysing the constructing principles of each model in the pathwork, and to try to extract from what what the deeper principles are that has the potential to embrace the whole domain. Different researchers has different opinions (or educated guesses) on what the "right" constructing principles are, and which that are the fallacious ones. Another guiding principles is which approaches that adds more explanatory power, by for example reducing the number of free parametrs or the number of "ad hoc assumptions" going into the theories. Other approaches are to not think so much philosophical but just to try to look at the "tool space" and see what other possible mathematical solutions there is. All theories are based on assumptions. As it seems even "simplicity" is a relative concept.
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Keith_McClary said:QM requires constant time surfaces, which may not exist in curved spacetime?
Another take on this is that it comes down to what you think are "observables" in GR, they are not necessarily the same as what you get from observations. This is also one of the debates. Ie. can you just "decide" arbitrarily which "elements" in GR (in some reformulation) where to apply QM formalism? After all, you can not make an elementary "observation" of a global or even a patch of a metric, it is necessarily a compound observation.Keith_McClary said:QM requires constant time surfaces, which may not exist in curved spacetime?
Maybe this link of Isham will help.infinitely small said:Hello. What are the problems specifically or mathematically or physically that physicists find difficulty in solving to make a theory of quantum gravity? Thank you.
Quantum gravity is a theoretical framework that aims to reconcile the theories of general relativity and quantum mechanics. It seeks to explain the behavior of matter and energy at the smallest scales, such as those found in the fabric of spacetime.
The challenge of creating a quantum gravity theory lies in the fact that the two theories it seeks to unify have fundamentally different principles and equations. General relativity describes the behavior of gravity on a large scale, while quantum mechanics deals with the behavior of particles on a small scale. Combining these two theories poses significant mathematical and conceptual challenges.
Some of the most well-known theories of quantum gravity include string theory, loop quantum gravity, and causal dynamical triangulation. These theories use different approaches and mathematical frameworks to try to reconcile general relativity and quantum mechanics.
Quantum gravity is often seen as a key component in the search for a theory of everything, which would be a single, unified theory that explains all of the fundamental forces and particles in the universe. Since gravity is one of the four fundamental forces, any theory of everything must also incorporate a theory of quantum gravity.
A successful theory of quantum gravity could have a wide range of applications, including helping us better understand the behavior of matter and energy in extreme conditions, such as inside black holes or during the early moments of the universe. It could also potentially lead to new technologies and advancements in fields such as quantum computing and space travel.