Hi,
I am developing a new quantum gravity theory. The concept of the theory sounds simple, but in reality, this theory is not so simple. Here, the main ideas of the theory:
- No extra dimensions, no spin foam
- The Klein-Gordon-Lagrangian looks similar to the Lagrangian of General Relativity (GR), because the maximum derivative is twice and both Lagrangians containing inner product of metric tensor with another tensor expression
- To fit KG-Lagrangian on GR-Lagrangian, the scalar field in KG-Lagrangian is not only a simple complex number; it is a more complicated algebraic object similar to matrices
- I'm using Feynman's path integral quantization with the following treatment of algebraic scalar fields: Instead of integration over all possible values of the field, integrations/summations are performed over all possible algebraic
structurizings and the values, that are invariant on algebraic structure modification
- All geometric quantities like volume element or metric can be expressed completely in dependence on the algebraic scalar field
- For the classical limit, the KG-Lagrangian in Feynman path integral can be transformed into the GR-Lagrangian
What are you think about this theory?
