What Is the Fourth Dimension and How Does It Work?

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SUMMARY

The discussion centers on the concept of the fourth dimension, particularly in relation to time and spatial geometry. Key observations include the representation of 2D and 3D shapes as they transition into higher dimensions, specifically noting that a 4D sphere can be visualized as a sphere that grows and shrinks in 3D space. The conversation emphasizes that time operates in a loop and is neither infinite nor finite, challenging traditional notions of temporal existence. The importance of spacetime diagrams in understanding relativity is highlighted, along with the distinction between Euclidean and non-Euclidean geometries.

PREREQUISITES
  • Understanding of basic geometry concepts, including dimensions and shapes.
  • Familiarity with Einstein's theory of relativity and spacetime.
  • Knowledge of Euclidean vs. non-Euclidean geometry.
  • Basic grasp of theoretical physics principles.
NEXT STEPS
  • Research "Spacetime Diagrams" to visualize the relationship between time and space.
  • Study "Einstein Field Equations" to understand the mathematical framework of general relativity.
  • Explore "Tesseracts and Hypercubes" to gain insight into higher-dimensional shapes.
  • Investigate "Closed Timelike Curves" and their implications in theoretical physics.
USEFUL FOR

This discussion is beneficial for students interested in theoretical physics, particularly those exploring concepts of higher dimensions, spacetime, and relativity. It is also useful for educators seeking to explain complex geometric and temporal theories.

eggy
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Based on info found in this forum, I have compiled info along with personal thoughts and observations in attempt to understand the fourth dimension better

any input or corrections would be helpful, along with links to sites you have found helpful in your experience.
Thanks! My notes below:Observations:

Move up/down

Move left/right

Move forward/backward

(Age [one direction])
2d circle in 1 dimension is a line getting larger and smaller

3D circle in 2 dimensions is a circle getting larger and smaller

4d sphere in 3 dimensions is a sphere growing and shrinking

What does 4d shape look like? Tesseract? Hypercube?

How does it work?
Possible dimension- Time

Visualized in 2d as a straight line

Visualized in 3D as a straight line

Conclusion: time is a straight line which any point can be accessed through any point all the time.
Time never started and never stops (different from eternity) TIME OPERATES IN A LOOP (time never started and never stops but with infinite time matter will reassemble itself into every single possible combination) given that time is relative and infinite. Light and time are distorted in a black hole (general relativity)
2d timeline is 2d, only exists in 2+ dimensions (too simple) 3D timeline only exists in 3+ dimensions (2d cannot hold due to lack of dimensions.) proposed 4d timeline only exists in 4+ dimensions (3D cannot hold due to lack of dimensions)

Does not exist in any dimension above current dimensionUndefined

Cannot be defined

Time is not infinite (nor finite)
There is Never nothing. Point=0 dimensions
 
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eggy said:
2d circle in 1 dimension is a line getting larger and smaller
The way you would say this technically is that the foliation of a 2D disk into an ordered series of 1D submanifolds is a line segment that gets larger and smaller as you progress along the series.

eggy said:
3D circle in 2 dimensions is a circle getting larger and smaller

4d sphere in 3 dimensions is a sphere growing and shrinking
Similarly with these.

eggy said:
What does 4d shape look like? Tesseract? Hypercube?
What does a 3D shape look like? I don't think this is a well formed question.

eggy said:
How does it work?
How do 3D shapes work? I don't think this is a well formed question either.

eggy said:
Time never started and never stops (different from eternity) TIME OPERATES IN A LOOP
It is certainly possible to produce solutions to the Einstein field equations with closed timelike curves. But there is no experimental indications that support the idea that such spacetimes represent reality in any way.

eggy said:
Undefined

Cannot be defined

Time is not infinite (nor finite)
There is Never nothing. Point=0 dimensions
None of this communicates anything that I can tell.
 
these were mostly just brain dumps i did in geometry class. I am a freshman in high school and was just asking for input (which you provided). I have virtually no knowledge of any theoretical physics, yet have a huge interest in it. Thank you for the input, is there any way you could include some links to things that i could use to grasp this idea?
 
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