What dimensions aren't geometry based?

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Discussion Overview

The discussion centers around the concept of dimensions that are not based on traditional geometric interpretations such as length, width, and depth. Participants explore various dimensions from both mathematical and physical perspectives, considering their implications and definitions.

Discussion Character

  • Exploratory, Conceptual clarification, Debate/contested

Main Points Raised

  • Some participants mention traditional geometric dimensions (x, y, z) as a starting point for the discussion.
  • Others propose dimensions such as energy, mass, and charge as examples that may not fit into geometric definitions.
  • Fractals are suggested as a potential non-geometric dimension by one participant.
  • Time and temperature are also raised as dimensions that do not conform to geometric interpretations.
  • There is a repeated inquiry about the existence of dimensions that are entirely independent of length, width, depth, or shape.
  • A participant provides an etymological perspective on the term "dimension," noting its historical context and evolution in meaning.
  • Links to external resources are shared to provide further context on the concept of dimensions.

Areas of Agreement / Disagreement

Participants express varying interpretations of what constitutes a dimension outside of geometric constraints. There is no consensus on a definitive list of non-geometric dimensions, and the discussion remains open-ended with multiple viewpoints presented.

Contextual Notes

Some contributions rely on specific definitions of dimensions, which may not be universally accepted. The discussion includes a mix of mathematical, physical, and philosophical interpretations that may not align.

mmmchicken
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I.e. x,y,z
 
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Can you provide a bit more context for the question?
 
mmmchicken said:
I.e. x,y,z
energy, mass, charge ?
 
mathman said:
energy, mass, charge ?
Funny. I thought OP was talking about dimensions in a mathematical sense.
 
fractals?
 
Time? Temperature?
 
Is there a dimensions that doesn't have to do with length width or depth. Or shape at all
 
mmmchicken said:
Is there a dimensions that doesn't have to do with length width or depth. Or shape at all

As @Bystander said, time is one such dimension.
 
dimension (n.)
late 14c., "measurement, size," from Latin dimensionem (nominative dimensio) "a measuring," noun of action from past participle stem of dimetri "to measure out," from dis- (see dis-) + metiri "to measure" (see measure (v.)). Meaning "any component of a situation" is from 1929. Related: Dimensional; dimensions.
(http://www.etymonline.com/index.php?allowed_in_frame=0&search=dimension)

https://en.wikipedia.org/wiki/Dimension_(disambiguation)
https://en.wikipedia.org/wiki/Krull_dimension
https://en.wikipedia.org/wiki/Dimensional_analysis
https://en.wikipedia.org/wiki/Dimension
Plus the physical meaning from the examples above.

What exactly are you looking for? Your choice.
 
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