I the beginner have some general question

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Discussion Overview

The discussion revolves around the concept of graphing higher-dimensional figures, particularly in the context of quantum physics and mathematics. Participants explore the feasibility of representing five-dimensional figures and the implications of dimensionality in both mathematical and physical contexts.

Discussion Character

  • Exploratory
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant expresses curiosity about graphing five-dimensional figures, questioning whether it is possible to visualize such dimensions without a clear understanding of their nature.
  • Another participant suggests that the question could be better suited for the general mathematics forum, arguing that the problem is fundamentally mathematical rather than physical.
  • A different participant asserts that while graphing higher dimensions is a mathematical issue, it still holds relevance for physics, citing the example of E=mc² as a mathematical equation with significant physical meaning.
  • One participant challenges the notion that the problem is purely mathematical, emphasizing that understanding how to plot more than two dimensions is relevant to physics, but requires a specific physical phenomenon for context.
  • Another participant mentions that additional axes must be perpendicular to one another, noting that representing higher dimensions can be complex, but symmetry in certain physical situations allows for simplifications in representation.

Areas of Agreement / Disagreement

Participants exhibit disagreement regarding whether the discussion should focus on mathematical or physical aspects of graphing higher dimensions. Some argue for a purely mathematical perspective, while others emphasize the importance of its physical implications.

Contextual Notes

The discussion highlights the complexity of representing higher dimensions and the challenges associated with visualizing them. There is an acknowledgment of the need for specific physical contexts to make the mathematical representations meaningful.

Who May Find This Useful

This discussion may be of interest to beginners in physics and mathematics, particularly those curious about dimensionality and its implications in both fields.

pureinterest
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Keep in mind while reading all peaple who wish to learn must start somewhere i feel like a critique from peaple who know what there talking about might help feel free to tell me how wrong i am becouse i asume i am very wrong indeed

i am just starting out in my very very very minuet view and ideas on quantum physics i was wondering as far as graphing goes i understand how to graph a one dimensional figure as well as a two dimensional and a three you simply add an axis ( I.E third dimensional Z axis) so theoreticly could you graph a 5 diimentional figure even without the understanding of what a 5th dimensional figure would look like.
 
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welcome to pf!

hi pureinterest! welcome to pf! :smile:
pureinterest said:
… as far as graphing goes i understand how to graph a one dimensional figure as well as a two dimensional and a three you simply add an axis ( I.E third dimensional Z axis) so theoreticly could you graph a 5 diimentional figure even without the understanding of what a 5th dimensional figure would look like.

not really

any extra axis has to be perpendicular to all the others, and there's no way of representing that

but if the graph is of a body or field with a symmetry, then we can "suppress" the dimension which has the symmetry without losing much information …

for example, we often assume that a black hole is spherically symmetric, which enables us to represent its 4D space-time geometry with a 2D graph
 
that makes much more sense thank you
 
frogjg2003 said:
Try asking in the general mathematics forum instead. You change nothing by removing any reference to quantum mechanics, and it becomes a math problem.

your looking at this too closed minded just because its only a pure math problem doesn't mean that it has no value to physics for instance E=MC^2 is only a math equation but what it stands for is where the meaning is
 
pureinterest said:
your looking at this too closed minded just because its only a pure math problem doesn't mean that it has no value to physics for instance E=MC^2 is only a math equation but what it stands for is where the meaning is
And just because it applies to physics doesn't mean it isn't a math problem. You're asking how to plot more than 2 dimensions on a plot. That is highly relevant to physics, but unless there is a specific physical phenomenon you are trying to represent, it is too general and falls in the domain of mathematics.
tiny-tims provides a good example, you have 4 dimensions: time and 3 space, but the three space are the same, so you can represent it as only time and one space dimension.
 

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