Are All Points on a Sphere Considered Dimensions?

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Discussion Overview

The discussion revolves around the classification of points on a sphere in relation to dimensions, particularly comparing them to one-dimensional and two-dimensional planes. Participants explore the mathematical and conceptual implications of this classification.

Discussion Character

  • Exploratory, Conceptual clarification, Debate/contested

Main Points Raised

  • Some participants question whether each point on a sphere can be considered a separate dimension in comparison to one-dimensional and two-dimensional planes.
  • One participant notes that mathematically, a sphere is a two-dimensional surface embedded in three-dimensional space, prompting a connection to Quantum Physics.
  • Another participant expresses uncertainty about the appropriateness of their question in the context of Quantum Physics and acknowledges posting in the wrong thread.
  • A participant introduces the concept of a "hyperplane" from linear algebra, suggesting that while a plane is two-dimensional, there are objects of lower dimensions within higher-dimensional spaces.
  • Some participants reflect on the terminology used, indicating that "dimension" might be a more suitable term than "plane" in this context.

Areas of Agreement / Disagreement

Participants do not reach a consensus on whether points on a sphere can be classified as dimensions, and multiple competing views remain regarding the terminology and mathematical implications.

Contextual Notes

There are limitations in the assumptions made about dimensions and the definitions of terms like "plane" and "dimension," which may affect the clarity of the discussion.

tommy payne
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I don't have a degree in Physics but studied it in secondary school and I was wondering , Can each point on a sphere be classed as another dimension in relative comparison to like a 1 dimension plane ,two dimension plane ect. ?
 
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Mathematically, a sphere is a two-dimensional surface embedded in three-dimensional space. But, what has this to do with Quantum Physics?
 
I'm not an actual physicist and put the question up in the wrong thread and but I thought a Quantum Physicist might be able to answer me . Sorry for my postint in the wrong forum.
 
tommy payne said:
I don't have a degree in Physics but studied it in secondary school and I was wondering , Can each point on a sphere be classed as another dimension in relative comparison to like a 1 dimension plane ,two dimension plane ect. ?
A plane, by definition is two dimensional, although in linear algebra there is a concept of a "hyperplane," an object of dimension one less than the space it is in. A line is one dimensional.
 
Last edited:
Maybe plane was the wrong word to say , dimension would be the most appropriate word to say maybe .
 

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