The fundamental problem in unifying gravity with quantum mechanics is, that gravity changes space in an analog way with no clear lower or upper bounds, while quantum theory requires clear, integer boundaries between states.
Or, in other words: quantum mechanics tells us what mass there is at any given location, gravity tells us what effect that has on the volume of space around it. But while the mass distribution of quantum theory is strictly localized and the bounds clearly defined and integer (see the Standard Model), gravity seems to have an unlimited resolution without clear boundaries.
That huge discrepancy between the two most established physics models results in a lot of casualties in between, of which the two most important ones are the definition of universal constants and the requirement for things like gravity waves and dark matter to make the models fit each other and the observational data.
In short: things seem to be much heavier as far as gravity is concerned, than predicted by the quantum theory.
The obvious solution to that would be, to use the space curvature induced by mass as a multiplication factor for the actual mass, as the volume covered is stretched by gravity. But that doesn't solve the fundamental problem, that any particle in the universe would have to be subjected by a gravity force from every other particle.
Like there is a law that states that the total amount of energy contained in the universe can never change, there is a similar law that states that the information density can never change. But, that doesn't assume that every particle in existence keeps track of every other one at all times. Especially because particles are created and destroyed all the time.
While we might speculate that the universe is analog and all that bookkeeping happens automatically, by unknowable forces behind the screen (very unscientific, that would be like stating that God did it), it is theoretized that any other force or interaction is communicated by messenger particles. The information has to be transferred physically. Cause and effect.
But, there are other possible solutions to this problem. And many of them rely on the information (energy) density as a function of the curvature of space. Or, in other words: when there are many other particles around (dense), there is a lot of information going around. While in open space far from everything, there is only little.
To make that work, particles would have to be attracted to the location with the highest information/energy density. And that is exactly what gravity is all about.
But, where is that information? Is it a value inherent in each location in space that can hold a particle as defined by the volume of the location of that particle as defined by quantum mechanics? Is space itself doing the bookkeeping?
But in that case, we would expect space itself to have mass, as there is information content there. Which it might have, as there seems to be more mass in locations which have a large information density (hold many particles) as accounted for by the mass of the particles itself. But it would have to be another kind of mass than the regular one. Dark matter.
Another explanation would be, that the exchange of the messenger particles is only between neighboring particles. This needs some more explaining.
According to quantum mechanics, all of space is divided into energy shells, that can hold one or more particles. Inside an atom, those particle volumes are packed close together. If that atom is part of a dense mass, those volumes will be pretty small, relatively speaking.
So, in that respect, our universe looks like an enormously huge three dimensional construction build of bricks. And the bricks are very small and dense where there are many particles close together, while the bricks are very large and light-weight where there are few.
Coincidentally, that is exactly what gravity does as well. Or is it? Because, a large mass increases the time it takes information to travel the same subjective distance. Which can be explained by there being many more information exchanges on the way. So it does fit.
If all of space (our entire universe) is divided into particle volumes (probability zones within quantum shells, like the shells of atoms), and we equal the gravity curvature with the size of those volumes, everything fits perfectly. Especially if we quantize the time it takes to exhange an information particle, and the amount of them that can be exchanged at any one time. The amount of energy available is bounded.
The only thing still missing, is what we started with: that things seem to be much heavier than we would expect by counting the energy content of all the particles. And that is where the information exchange comes in. If all particles only exchange information with their neighbors, there are more nieghbors in a dense mass than in flat space, and those information exchanges are particles that have mass as well, it might offer a very good explanation for the observed increase in density.
Dark matter as a function of quantized gravity.
What do you think?
Or, in other words: quantum mechanics tells us what mass there is at any given location, gravity tells us what effect that has on the volume of space around it. But while the mass distribution of quantum theory is strictly localized and the bounds clearly defined and integer (see the Standard Model), gravity seems to have an unlimited resolution without clear boundaries.
That huge discrepancy between the two most established physics models results in a lot of casualties in between, of which the two most important ones are the definition of universal constants and the requirement for things like gravity waves and dark matter to make the models fit each other and the observational data.
In short: things seem to be much heavier as far as gravity is concerned, than predicted by the quantum theory.
The obvious solution to that would be, to use the space curvature induced by mass as a multiplication factor for the actual mass, as the volume covered is stretched by gravity. But that doesn't solve the fundamental problem, that any particle in the universe would have to be subjected by a gravity force from every other particle.
Like there is a law that states that the total amount of energy contained in the universe can never change, there is a similar law that states that the information density can never change. But, that doesn't assume that every particle in existence keeps track of every other one at all times. Especially because particles are created and destroyed all the time.
While we might speculate that the universe is analog and all that bookkeeping happens automatically, by unknowable forces behind the screen (very unscientific, that would be like stating that God did it), it is theoretized that any other force or interaction is communicated by messenger particles. The information has to be transferred physically. Cause and effect.
But, there are other possible solutions to this problem. And many of them rely on the information (energy) density as a function of the curvature of space. Or, in other words: when there are many other particles around (dense), there is a lot of information going around. While in open space far from everything, there is only little.
To make that work, particles would have to be attracted to the location with the highest information/energy density. And that is exactly what gravity is all about.
But, where is that information? Is it a value inherent in each location in space that can hold a particle as defined by the volume of the location of that particle as defined by quantum mechanics? Is space itself doing the bookkeeping?
But in that case, we would expect space itself to have mass, as there is information content there. Which it might have, as there seems to be more mass in locations which have a large information density (hold many particles) as accounted for by the mass of the particles itself. But it would have to be another kind of mass than the regular one. Dark matter.
Another explanation would be, that the exchange of the messenger particles is only between neighboring particles. This needs some more explaining.
According to quantum mechanics, all of space is divided into energy shells, that can hold one or more particles. Inside an atom, those particle volumes are packed close together. If that atom is part of a dense mass, those volumes will be pretty small, relatively speaking.
So, in that respect, our universe looks like an enormously huge three dimensional construction build of bricks. And the bricks are very small and dense where there are many particles close together, while the bricks are very large and light-weight where there are few.
Coincidentally, that is exactly what gravity does as well. Or is it? Because, a large mass increases the time it takes information to travel the same subjective distance. Which can be explained by there being many more information exchanges on the way. So it does fit.
If all of space (our entire universe) is divided into particle volumes (probability zones within quantum shells, like the shells of atoms), and we equal the gravity curvature with the size of those volumes, everything fits perfectly. Especially if we quantize the time it takes to exhange an information particle, and the amount of them that can be exchanged at any one time. The amount of energy available is bounded.
The only thing still missing, is what we started with: that things seem to be much heavier than we would expect by counting the energy content of all the particles. And that is where the information exchange comes in. If all particles only exchange information with their neighbors, there are more nieghbors in a dense mass than in flat space, and those information exchanges are particles that have mass as well, it might offer a very good explanation for the observed increase in density.
Dark matter as a function of quantized gravity.
What do you think?