My View On Fysics : Away With Distance

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Discussion Overview

The discussion revolves around the concept of distance in theoretical physics, particularly in relation to tensors and dualities. Participants explore the implications of abandoning distance as a fundamental concept and how this might affect the necessity of tensors in describing space-time. The conversation touches on theoretical frameworks such as T-duality in string theory and the nature of physical laws at different scales.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • Some participants argue that the complexity of tensor calculations in theoretical physics stems from the need to describe a Lorentzian and flat space-time manifold.
  • One participant suggests that if the concept of distance were abandoned, tensors might no longer be necessary for maintaining covariance.
  • Another participant introduces the idea of physical dualities, particularly T-duality, asserting that there exists a minimal distance for studying the universe, beyond which physical laws do not change.
  • Some participants question the definition of fundamental concepts such as singleton sets and tautologies, seeking clarification on their relevance to the discussion.
  • One participant challenges the notion of tensors being problematic, stating that they are merely linear algebra and not inherently tied to the concept of length.
  • Another participant discusses the implications of T-duality on the equivalence of universes with different scale factors, suggesting that dark energy must conform to certain symmetries.
  • There is a repeated emphasis on the complexity of tensor calculations and the search for simplifications through symmetries.

Areas of Agreement / Disagreement

Participants express differing views on the necessity and complexity of tensors, the role of distance in theoretical physics, and the implications of dualities. No consensus is reached regarding the fundamental nature of these concepts.

Contextual Notes

The discussion includes unresolved definitions and assumptions regarding mathematical concepts such as singleton sets and tautologies, which may affect the clarity of arguments presented.

marlon
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The biggest problem in theoretical fysics are the calculation-horrors that come along with working with tensors. These mathematical objects are necessary in order to describe our space-time-manifold, yet they all are necessary because our "world" has to be Lorentzian and flat when viewed at locally. In this flat world we like to measure things.

If we were to be able to give up the concept of distance then tensors would not anymore be necessary in order to maintain covariance, right ?

i think that the concept of fysical dualities is the most fundamental off all. Like T-duality shows us in string theory, there is a minimal distance at which we should study the universe, because when looking at even smaller scales the fysical laws and rules would not change anymore. Here distance has been beaten by dualities.

Have dualities ever been beaten by distance ? I think not...


How bout that for a change, hmm?

greetz
marlon
 
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Hi marlon,

A definition for a point:
A singleton set p that can be defined only by tautology ('='), where p has no internal parts.

A definition for an interval (segment):
A singleton set s that can be defined by tautology ('=') or '<' or '>', where s has no internal parts.

aridno said:
1. What is a singleton?
2. What is "="?
1. Singleton set http://mathworld.wolfram.com/SingletonSet.html
2. Tautology (x is itself or x=x).
aridno said:
3. What is an "no internal parts"?
3. Non divisible or Urelement (http://mathworld.wolfram.com/Urelement.html).


Can you please define an Urelement between p and s?
 
Last edited:
Universes with large scale factors are supposed to be equivalent
to universes with small scale factors under T duality.This means that a universe with
a larger redshift ,for the same distance, as another universe, should be physically
the same as the other universe.For this to be correct then dark energy cannot be anything exotic - it must transform under Tsymmetry like other forms of matter- it must be a field of some kind, some kind of radiation, or some kind of baryonic matter.
 
What is fysics?

Tensors are just linear algebra; what is so horrifying?

Tensors are not based upon a concept of length.
 
Hurkyl said:
What is fysics?

Tensors are just linear algebra; what is so horrifying?

Tensors are not based upon a concept of length.


I am just saying that the calculation of tensors is mostly very very elaborate and much work. I am wondering how this calucations can be simplified.

Just like we are always looking for symmetries in order to make calculations more easy

regards

marlon
 

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