AlcubierresCat

1 hour ago, joigus said:

https://arxiv.org/pdf/1607.05129.pdf

Also:

I suppose Carlo Rovelli's excellent book on quantum gravity should be next.

Much appreciated, sir. 

On 6/29/2021 at 3:27 PM, Heis3nberg said:

Loop Quantum Gravity:

The space is the place in which phenomena happen, the quantum fields ( electromagnetic, weak, strong and Higgs) propagate on space-time.

But what does create space-time? the loop quantum gravity theory could explain it; trying to find a quantum theory of space-time, an unification of Quantum Mechanics and General Relativity .

The Wheleer- De Witt equation is  a good point of start, it should determin the probability of observing certain curved space. The solutions of this equation admit some strange closed rings called "loops". These ones represent the field lines of the gravitational quantum field. These rings form the structure of space-time.

The loops interwine with each other in points called "Knots"; the lines between two knots are called "Links". A group of knots binded by links or rather a set of lines which touch each other create  a "graph". In the knots of the graph reside the volume of the space, so the lines binded single space volumes.

Every knot "n" has a volume "Vn"; it represent the elementary grain of space time. And like photons (discrete energy) , the grains can have only discrete values of volume.  The only possibles values of the knots' volume or graph's surface can be calculated with Dirac's spectrum. Every graph is composed by a number of knots ( every knot has a discrete volume v1, v2, v3...)and by some lines ( for a line is associated a semi-whiole number which represent the spin; 1/2, 3/2, 5/2...): They create a "spin network"

 

On microscopic scale the space isn't continue, but made of finished elements connected by each other. These elements don't exist on space-time, they are the space-time!

Interesting read, could you recommend me a paper on this equation? Something that goes a bit more in depth?