Could All Matter Be Curved Space Itself?

AI Thread Summary
The discussion explores the idea that matter may not just curve space but could actually be a manifestation of curved space itself, suggesting a paradigm shift in understanding matter and forces. It raises the possibility that all particles and forces are distortions in space, leading to the question of whether all phenomena are different geometric interactions. However, a counterpoint is made that matter is not equivalent to curvature; rather, curvature can exist without matter, as described by the Riemann Tensor. The conversation touches on the concept of "geometrodynamics" but highlights that curvature can occur in vacuum regions without the presence of matter. Overall, while the idea is intriguing, it faces challenges in explaining gravity and lacks mainstream scientific support.
CosmicVoyager
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Greetings,

I read a lot. It is often repetitious. Occasionally I read an idea or way of looking at something that I had not read before.

In one book, I read the matter did not curve space, but rather, matter *is* curved space. This is a paradigm shift in the way of thinking about matter.

Could it be that all particles and forces are not in space, but are rather curves, twists, or distortions in space itself? So that all there is is space?

Could all phenomena be different kinds of geometry interacting in different ways?

Thanks
 
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Is it possible? Maybe. No one can say for sure yet. I know there are several theories I've heard of that say something kind of like this, but as far as I know mainstream science does not support this.
 
Even in string theory, the particles that make up normal matter are rather distinct from the particles that make up gravity (curved space). So I doubt that this idea holds much water, except perhaps as an analogy.
 
Matter as a form of condensed space makes sense, but, raises more questions than it solves. Foremost, it does a terrible job explaining gravity.
 
CosmicVoyager said:
Greetings,

I read a lot. It is often repetitious. Occasionally I read an idea or way of looking at something that I had not read before.

In one book, I read the matter did not curve space, but rather, matter *is* curved space. This is a paradigm shift in the way of thinking about matter.

Could it be that all particles and forces are not in space, but are rather curves, twists, or distortions in space itself? So that all there is is space?

Could all phenomena be different kinds of geometry interacting in different ways?

Thanks

The viewpoint you express is a very good viewpoint, and has a name "geometrodynamics".

There is a technical error though in what you said. A region of spacetime can have curvature without there being matter. Matter is not curvature. The curvature is something called the Riemann Tensor. Matter is is stuff that is (sort of) sums of components of the Riemann Tensor. You can have a nonb-zero Riemann Curvature Tensor where the relevants sum is zero, and thus you can have curvature in spacetime where there is no matter.

The following approximate description should explain the situation in a concrete way. The curvature tensor is much like first derivatives of the gravitational field--sort of like tidal forces. Since the Earth produces an (approx) inverse squared gravitational force, the radial derivatives go as the inverse of the radius cubed. Thus in the vacuum region around the Earth there is a curvature that goes as (r)^(-3). So there is curvature in the vacuum. The mass goes as the SUM of the derivative in the x direction of the x component of the gravitational field plus the derivative in the y direction of the y component of the gravitational field plus the derivative in the z direction of the z component of the gravitational field--*this* quantity corresponds to the Newtonian del squared phi (where phi is the gravitational potential) and vanishes in the vacuum.
 
https://en.wikipedia.org/wiki/Recombination_(cosmology) Was a matter density right after the decoupling low enough to consider the vacuum as the actual vacuum, and not the medium through which the light propagates with the speed lower than ##({\epsilon_0\mu_0})^{-1/2}##? I'm asking this in context of the calculation of the observable universe radius, where the time integral of the inverse of the scale factor is multiplied by the constant speed of light ##c##.
Why was the Hubble constant assumed to be decreasing and slowing down (decelerating) the expansion rate of the Universe, while at the same time Dark Energy is presumably accelerating the expansion? And to thicken the plot. recent news from NASA indicates that the Hubble constant is now increasing. Can you clarify this enigma? Also., if the Hubble constant eventually decreases, why is there a lower limit to its value?

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