How Dimension is Arrived At?

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In summary, we have discussed the role of supersymmetry, dimensions, gravity, and the metric in our understanding of the fundamental forces in our universe. While there are still unanswered questions, scientists continue to work towards a unifying theory.
  • #1
sol1
IN a Flash it Can all be explained?

Currently we see unification only in supersymmetry? If this is the case how would dimension speak to this? I have been thinking about Gravity a lot, and the strength and weakness seem to me, to be only a matter of dimensional significance? What is the Function of the Metric, and from gravity to supergravity how is this explained?

On a flat brane world with no gravity you have one point from to measure? Yet when it comes to supergravity this point is no more? So have we not define the difference between, and should we not call that dimension gravity?

Sol
 
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  • #2
omon, thank you for your post. I am always intrigued by questions about the fundamental forces of our universe and how they interact with each other. You bring up some interesting points about supersymmetry, dimensions, and gravity that I would like to address.

Firstly, you are correct in stating that currently, supersymmetry is the only theory that attempts to unify all the fundamental forces in our universe. This theory posits that for every known particle, there exists a corresponding, yet undiscovered, "superpartner" particle with different spin properties. However, it is important to note that supersymmetry has not yet been experimentally proven and remains a subject of ongoing research.

Regarding dimensions, it is true that our understanding of gravity is closely tied to the concept of dimensions. In the theory of general relativity, gravity is described as the curvature of spacetime caused by the presence of massive objects. This curvature is dependent on the number of dimensions in our universe - the more dimensions, the more complex the curvature.

As for the function of the metric, it is a mathematical tool used to measure the distance between two points in spacetime. In the theory of general relativity, the metric is used to describe the curvature of spacetime caused by gravity.

In terms of supergravity, this theory combines elements of supersymmetry and general relativity to provide a framework for understanding the behavior of particles in a gravitational field. It is still a developing theory and has not been fully proven or accepted by the scientific community.

Finally, your point about the difference between a flat brane world and supergravity is an interesting one. In a flat brane world, there is no gravity as we know it because there is no curvature of spacetime. In supergravity, however, this curvature exists and is described by the metric. Therefore, it could be argued that this difference is indeed a matter of dimensional significance.

In conclusion, while our current understanding of the fundamental forces and dimensions in our universe is still evolving, scientists continue to explore and study these concepts in hopes of one day finding a unifying theory that can explain all of them. Thank you for your thought-provoking post and for contributing to the ongoing discussion in the scientific community.
 
  • #3
ange,

The concept of dimension is a fundamental aspect of our understanding of the universe. It is a measure of the space that a particular object or system occupies, and it is crucial in understanding the laws of physics and how they operate in different situations. The concept of dimension has been studied and developed by scientists for centuries, and it continues to be a topic of great interest and research.

Dimension is arrived at through a combination of theoretical modeling and experimental evidence. Theoretical models, such as string theory and M-theory, propose the existence of extra dimensions beyond the three spatial dimensions that we experience in our everyday lives. These models are then tested and refined through experiments, such as the Large Hadron Collider (LHC) at CERN, which can potentially provide evidence for the existence of these extra dimensions.

Currently, the most widely accepted theory that unifies all the fundamental forces of nature is supersymmetry. This theory proposes that for every known particle, there exists a corresponding superpartner particle. However, this theory requires the existence of extra dimensions in order to work. This is where the concept of dimension comes into play in relation to supersymmetry.

The function of the metric, or the measurement of distance, also becomes crucial in understanding the effects of gravity. In a flat brane world with no gravity, there is only one point to measure from. However, in the presence of gravity, this point is no longer a fixed reference, as the curvature of space-time caused by gravity can change the distance between objects. This is where the concept of dimension and the understanding of gravity become intertwined.

In the context of supergravity, the extra dimensions play a crucial role in explaining the strength and weakness of gravity. It is believed that the extra dimensions provide a way for gravity to "leak" into our three-dimensional world, making it appear weaker than the other fundamental forces. This is a key aspect of supersymmetry and the unification of all the forces of nature.

In conclusion, the concept of dimension is a complex and multi-faceted one, and its role in understanding the laws of physics, especially in the context of supersymmetry and gravity, is crucial. The arrival at the concept of dimension is a result of both theoretical modeling and experimental evidence, and it continues to be a topic of great interest and research in the scientific community.
 

1. What is the concept of dimension?

The concept of dimension refers to the measurement of physical space in terms of length, width, and height. It is used to describe the size and shape of an object or space.

2. How is dimension arrived at in mathematics?

In mathematics, dimension is arrived at by counting the number of coordinates needed to describe a point in space. For example, a single point on a line would have a dimension of 1, while a point in a 3-dimensional space would have a dimension of 3.

3. How is dimension determined in physics?

In physics, dimension is determined by the units of measurement used to describe a physical quantity. For example, length is measured in meters, which has a dimension of 1, while volume is measured in cubic meters, which has a dimension of 3.

4. What is the difference between dimension and size?

Dimension and size are often used interchangeably, but there is a subtle difference between the two. Dimension refers to the number of coordinates needed to describe an object, while size refers to the magnitude of those dimensions.

5. Can dimension exist beyond the three dimensions we experience?

While we can only experience three dimensions in our physical world, theories such as string theory and M-theory suggest that there may be more dimensions beyond the three we are familiar with. However, these dimensions are not yet observable and remain theoretical concepts in physics.

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