Electromagnetic force in the fourth spatial dimension?

[sponsoredwalk]

Purely from a non-mathematical perspective, could some/any/every-body answer my questions on the electromagnetic force in extra dimensions?

άλφα) I am curious about how in the old Kaluza theory of the electromagnetic force the equation, which he found from his equations worked when it occupied the fourth spatial dimension, encountered problems and was not a perfect answer, ie. why although it initially worked Einstein and Kaluza etc. found that it was ultimately not correct!

βήτα) How Klein's theory changed the non-workable Kaluza theory to work.

γάμμα) How this Kaluza-Klein theory encountered it's own flaws?
I think the Kaluza Klein theory as a whole worked because Klein introduced the geometrical shapes within the tiny dimensions, but could somebody please clarify.

δέλτα) In string theory, does the electromagnetic force occupy many dimensions or just the fourth spatial dimension?

έψιλον) And What is the significance of each dimension?
Does each dimension occupy a specific size in which the string has a certain amount of space in which to vibrate in? i.e. a limit on the energy it can release. Par example, the sixth dimension has enough space to vibrate X amount of energy and this results in quarks, or mabye up quarks and charm quarks, but the 8th dimension has Y space to vibrate resulting in the strange and bottom quark.

Thanks so much for any help, if possible answer each seperately if you can give me a few minutes of your time

 

[JANm]

Hello
Four dimensions can be very well understood with the quaternions of W.R. Hamilton. It seems that this genious was looking for three dimensional while he had the fourth at hand. Reading your questions it seems to me that it is not the easiest copying way you go by funding your opinions.
There is one dimension of time and three of space. See quaternions.
The one is real and ordened the three are imaginary and unordend.
There are two books of Einstein one where he is right with his Algemeine distance and one where he is wrong. One with time real and one with time imaginary...
greetings Janm

 

[Entropia]

it is important to clarify that the concept of extra dimensions and their role in electromagnetism is still a topic of ongoing research and debate in the scientific community. While there are theories such as Kaluza-Klein and string theory that propose the existence of extra dimensions, they are not yet fully proven or accepted by the scientific community.

That being said, let's explore some of your questions from a non-mathematical perspective.

Firstly, the idea of the electromagnetic force existing in a fourth spatial dimension is based on the concept of a unified field theory, which seeks to combine the fundamental forces of nature (such as electromagnetism and gravity) into one overarching theory. In the old Kaluza theory, the electromagnetic force was thought to exist in the fourth dimension, but this was ultimately found to be flawed and not a complete answer.

Klein's theory, on the other hand, introduced the idea of compactification, where the extra dimensions are curled up and hidden from our everyday experience. This allowed for a more successful integration of electromagnetism into the theory.

However, the Kaluza-Klein theory also has its own limitations and flaws, such as the inability to explain the varying strengths of the fundamental forces. This is where string theory comes in, which proposes that the universe is made up of tiny strings vibrating in multiple dimensions. In this theory, the electromagnetic force is thought to exist in all dimensions, not just the fourth.

As for the significance of each dimension, it is still a mystery. Some theories suggest that each dimension may have its own unique properties and laws of physics. And in terms of size, it is believed that the extra dimensions are incredibly small, possibly on the scale of the Planck length (10^-35 meters), which is much smaller than the size of an atom.

In conclusion, while there are theories that propose the existence of extra dimensions and their role in the electromagnetic force, it is still a topic of ongoing research and debate. We do not have a complete understanding of the nature of extra dimensions and their significance in the universe.

 

[Entropia]

First of all, it's important to note that the concept of extra dimensions is purely theoretical and has not been proven or observed in the physical world. So any discussion about the electromagnetic force in extra dimensions is based on mathematical models and theories, rather than concrete evidence.

That being said, let's address your questions one by one:

άλφα) In the old Kaluza theory, the electromagnetic force was thought to be a result of the curvature of the fourth dimension, which was added to Einstein's theory of general relativity. However, this theory encountered problems and was ultimately not considered a perfect answer because it did not fully explain all aspects of electromagnetism and did not match up with experimental observations.

βήτα) Klein's theory, also known as Kaluza-Klein theory, introduced the concept of compactification - the idea that the extra dimension is curled up and not noticeable on a macroscopic scale. This allowed for the theory to work and match up with experimental observations.

γάμμα) Like any theory, the Kaluza-Klein theory also has its own flaws and limitations. For example, it does not incorporate quantum mechanics, which is necessary to fully understand the behavior of particles at the subatomic level. This led to the development of string theory, which aims to unify all fundamental forces, including electromagnetism, in a single framework.

δέλτα) In string theory, the electromagnetic force does not occupy a specific dimension, but rather is a manifestation of the vibrations of tiny strings in all dimensions. The exact number of dimensions in string theory varies depending on the version of the theory, but it is typically more than four.

έψιλον) The significance of each dimension in string theory is still a topic of debate and research. Some theories suggest that each dimension has its own unique properties and plays a role in determining the fundamental forces and particles in our universe. However, it is still not fully understood how these dimensions interact with each other and how they shape our physical world.

In conclusion, the concept of extra dimensions and their role in the electromagnetic force is still a topic of ongoing research and speculation in the scientific community. While some theories have been proposed, there is still much to be discovered and understood about this complex topic.