Dimension in Physics: Existing vs Non-Existing Points/Events

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Discussion Overview

The discussion revolves around the nature of dimensions in physics, specifically whether dimensions should be defined to include both existing and non-existing points or only existing points. Participants explore the implications of these definitions and their consistency with reality, touching on concepts of existence and the fundamental elements of the universe.

Discussion Character

  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants propose that a dimension includes all existing and non-existing points along an axis, while others suggest it should only include existing points.
  • A participant questions the meaning of "existence" in this context, indicating a need for clarification on the term.
  • Another participant notes that dimensions are typically assumed to be infinite but can be constrained by limits of existence within a range of values.
  • There is a query about the nature of 'points' in a four-dimensional universe, asking whether they represent fundamental elements like photons and electrons or if they are defined by interactions and relations between these elements.
  • A participant emphasizes the importance of adhering to standard definitions in the discussion.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus, as multiple competing views regarding the definition of dimensions and the nature of existence remain present throughout the discussion.

Contextual Notes

Participants express uncertainty regarding the definitions of existence and dimensions, and there are unresolved questions about the implications of these definitions on the understanding of reality.

Whitefire
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I know this has been mulled over time and time again in different threads, so I will keep it short.

Which statement is more consistent with reality:

1. A dimension = all existing and non-existing points along an axis.
2. A dimension = all existing, but only existing points along an axis.

(change 'points' into 'events', 'interactions' or whatever else you prefer)

Thank you.
 
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What you mean by existence?
 
Usually a dimension is assumed to be infinite (number 1) but it is typically a range of values for a unique characteristic of which limits of existence can be constraints in that range.
 
Whitefire said:
I know this has been mulled over time and time again in different threads, so I will keep it short.

Which statement is more consistent with reality:

1. A dimension = all existing and non-existing points along an axis.
2. A dimension = all existing, but only existing points along an axis.

(change 'points' into 'events', 'interactions' or whatever else you prefer)

Thank you.

How large is a point? Please specify in e.g. meters1, meters2 or meters3, whatever you prefer.

My question is a trick question.
 
Okay, let's go with the flow.

What are the 'points' of the 4-dimensional universe around us? Are they the independent, fundamental elements? Like, maybe, photons, electrons, quarks?
Or is the 4-dimensional universe made up of collisions, interactions, relations between these elements?

Which is the basic stuff of reality?
(or to be fair: maybe both or neither, or you have some other answer)
 
We stick to standard definitions here.
 

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