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Dynamics of unobservable dimensions


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I have been pondering various elements of string/M theory and have become fascinated by the required additional dimensions. As I understand for the theory to be viable, there must be between 9, 11 or even 25 coexisting dimensions; including our familiar dimensions of height,width, legnth and spacetime. The remaining dimensions are something of a mystery, as they dont share any of the properties of those we all know. How in essence, would one even begin to describe them?!

 

I understand there may be entire dimensions the size of an atom, and others crumpled on themselves like a piece of paper. That, or even dimensions which are unseen "base requirements" for our known 4 dimensional reality, i.e. separate yet converging dimensions that make up "legnth" or "height" for example. There really is no known method of describing these extra dimensions in detail, much less proving their existence. That all said, I would be interested as to others ideas on how these dimensions interact, and how they could be accurately described.

 

On that note, I've always liked the idea that perhaps there is an underlying dimension consisting solely of energy, which interacts/influences with all other dimensions, allowing everything from the expansion of space to the movements of electrons and positrons. After all, without energy our universe would an entirely static and empty void. Simularly perhaps a Higgs boson type dimension could exist that adds mass to everything (the particle itself perhaps being a physical byproduct of the interaction). I imagine the extra dimensions would involve similar thinking, if they can even be fruitfully pondered by our finite minds!

 

All ideas are certainly welcome!

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They are essentially differential geometry dimensions of varyious interactions and the degrees of freedom of the four forces. Some dimensions are the standard spatial dimensions. Others are rotational interactions. Yet others are simply extremely small interaction ranges. Compactified spaces.

 

https://en.m.wikipedia.org/wiki/Calabi%E2%80%93Yau_manifold

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As I understand for the theory to be viable, there must be between 9, 11 or even 25 coexisting dimensions; including our familiar dimensions of height,width, legnth and spacetime.

That is right, for a quantum theory of a single superstring we need the dimension to be 10. For the bosonic string the needed dimension is 26.

 

The remaining dimensions are something of a mystery, as they dont share any of the properties of those we all know. How in essence, would one even begin to describe them?!

Describing them is not really a problem. We have the mathematics for describing higher dimensional spaces. The problem is why we don't see these dimensions.

 

On that note, I've always liked the idea that perhaps there is an underlying dimension consisting solely of energy, which interacts/influences with all other dimensions, allowing everything from the expansion of space to the movements of electrons and positrons. After all, without energy our universe would an entirely static and empty void.

I am not sure what a 'dimension consisting solely of energy' means. The closest I can think of is the notion of an extended phase space. Instead of just taking position and moments one includes time and its dual which is energy. But this is not what you are talking about here.

 

 

Simularly perhaps a Higgs boson type dimension could exist that adds mass to everything (the particle itself perhaps being a physical byproduct of the interaction).

What is a 'Higgs boson type dimension'?

 

 

 

All ideas are certainly welcome!

String theory 101 class? You can get many good notes online. You can have a look at the teaching materials of Lambert http://www.mth.kcl.ac.uk/~lambert/

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Higgs boson type dimension: My thoughts on a "Higgs type" dimension were more of a thought experiment based on Higgs field, but without requiring "energy" from the empty vaccuum of space...which never really seemed right to me (or physics for that matter). Since the field itself is supposedly all encompassing throughout the universe, seeing it as a function of a full-fledged dimension in itself seemed legit.

 

Energy dimension: Again, another thought experiment based on a Higgs type field, however rather than adding mass as particles pass through, it applies a dynamic potential for energy.

 

Understand, I am not a physicist by any means, I actually just work in television and am simply fascinated by the mechanics of the universe. I occasionally get into these weird tangent thoughts and jot them down, later looking at them and wondering what the hell I was thinking (when theyre legible). These are just a few examples of those bizarre trains of thought. Please forgive my lack of understanding, I just wanted to see what others thought and if there was any merit to the ramblings of this madman...

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Higgs boson type dimension: My thoughts on a "Higgs type" dimension were more of a thought experiment based on Higgs field, but without requiring "energy" from the empty vaccuum of space...which never really seemed right to me (or physics for that matter). Since the field itself is supposedly all encompassing throughout the universe, seeing it as a function of a full-fledged dimension in itself seemed legit.

I still have no idea what you mean. I think you are using the term 'dimension' in a non-standard way.

 

Classically, the Higgs, like all other fields, is understood as a section of a fibre bundle over space-time. This does not actually depend on the dimensions of space-time.

 

Energy dimension: Again, another thought experiment based on a Higgs type field, however rather than adding mass as particles pass through, it applies a dynamic potential for energy.

Again, you seem to be using the wrong nomenclature here.

 

Understand, I am not a physicist by any means...

Indeed, we noticed that ;-)

 

Please forgive my lack of understanding, I just wanted to see what others thought and if there was any merit to the ramblings of this madman...

Okay, so I have no idea what your ideas are here. They are not stated carefully or in a form we can really work with.

 

You should now try to ask specific questions and strings, the Higgs etc and hopefully people here can give you reasonable answers.

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