Is Time the Only 4th Dimension in Relativity?

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Discussion Overview

The discussion centers around the concept of the fourth dimension in the context of relativity, specifically whether time is the only fourth dimension or if other dimensions exist. Participants explore their understanding of relativity, the implications of time as a dimension, and the relationship between Newtonian mechanics and relativistic physics.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • Some participants express confusion about the nature of time as the fourth dimension and seek clarification on its implications and whether other dimensions exist.
  • One participant notes that Einstein's model includes three spatial dimensions and one of time, while mentioning that string theory proposes additional dimensions that are not yet proven.
  • Another participant questions the validity of Newtonian mechanics in light of relativistic effects, suggesting that if Newton's laws break down in extreme conditions, they should also be reconsidered in everyday scenarios.
  • Several participants discuss the adequacy of Newtonian mechanics for most practical applications, asserting that it remains effective for the majority of situations encountered on Earth.
  • A participant introduces the concept of worldlines in four dimensions, suggesting that events in space occur at multiple instances over time, which raises questions about the mathematical treatment of four-dimensional objects.
  • Another participant clarifies that while Einstein is often associated with the four-dimensional model, it was Minkowski who formally articulated this concept in relation to special relativity.

Areas of Agreement / Disagreement

Participants do not reach a consensus on whether time is the only fourth dimension or if other dimensions exist. There are competing views regarding the relationship between Newtonian mechanics and relativity, with some arguing for the continued validity of Newtonian physics in most contexts while others challenge its applicability in extreme conditions.

Contextual Notes

Participants express varying levels of understanding regarding the implications of time as a dimension and the potential existence of additional dimensions. There are also unresolved questions about the mathematical treatment of four-dimensional coordinates and the conditions under which Newtonian mechanics may fail.

oldunion
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Im trying to educate myself on relativity with things such as Einstein's Dreams and The Inflationary Universe before i jump into the actual theory. Right now i understand 3 dimenions: 1, 2, and 3 for x, y, and z. I've heard the 4th dimension is time, but i am having a tough time understanding how this could be.

In Einstein's Dream thus far I've read some on this 4th dimension where the author attempted to separate the common notion of what time is between physics time.

Could someone explain the 4th (time) dimension; are there others?
 
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Hey! I was having the same problem understanding the fourth dimension/time as well; in fact, I posted a thread (called Oddity of Time in the Special and General Theory forum) about it - my wording was a little bad when I asked the question, but I eventually got the answers I needed. Some people gave me websites to go to, so look at those because they are extremely helpful.

Time is a difficult concept to understand, so I know where you're coming from!
 
Yes, Einstein modeled the universe on 4 dimensions...3 of space and 1 of time. We can move freely in the 3 dimensions of space and one-way (forward) in the dimension of time (although at different rates). If you dig aroung the archives, you'll find some past discussions on the reality of Time.

For Einstein's model, there are no other dimensions. String Theory/M-Theory proposes many more dimensions, but they have yet to be proven to exist.
 
if string theory is proven, is einstein's theory void? Also, I've noticed that people tend to regard Newtons laws as accurate until you look at space and super gravitational bodies, but if it breaks down in space shouldn't it break down on earth, which happens to be in space.

how could you have relativity for space and Newtonian mechanics for earth. :confused:
 
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oldunion said:
Im trying to educate myself on relativity with things such as Einstein's Dreams and The Inflationary Universe before i jump into the actual theory. Right now i understand 3 dimenions: 1, 2, and 3 for x, y, and z. I've heard the 4th dimension is time, but i am having a tough time understanding how this could be.

In Einstein's Dream thus far I've read some on this 4th dimension where the author attempted to separate the common notion of what time is between physics time.

Could someone explain the 4th (time) dimension; are there others?

I'll give it a shot. This is something I have read here that may help. To locate an object in space we need x,y and z coordinates. Now due to the relative motion of the universe these coordinates are changing all the "time". So to narrow it down we need a 4th coordinate and that is time.

Say we want to get together, I give you an address which leads you to a location. Now if we never specify a time chances are we will not arrive at the same location at the same time. Time is related to movement and since everything moves time becomes a real coordinate.

As far as other dimensions I think you need to look into string theory as it predicts 11 or so dimensions. I won't pretend to understand that though.
 
oldunion said:
if string theory is proven, is einstein's theory void? Also, I've noticed that people tend to regard Newtons laws as accurate until you look at space and super gravitational bodies, but if it breaks down in space shouldn't it break down on earth, which happens to be in space.

how could you have relativity for space and Newtonian mechanics for earth. :confused:

Note for starters, that Newtonian mechanics and relativity are merely explanations for how our reality works. When we say 'Newtonian mechanics is breaking down', we merely mean it is inadequate to describe what we see.


Newtonian mechanics explains perfectly 99% of the things we see here on Earth and in space. Almost everything that happens on Earth and in much of space falls within a non-relativistic range - speeds, masses, distance, etc.

It is only when we deal with things that are ultra-heavy, ultra-fast or ultra-energetic that Newtonian predictions and relativistic predictions begin to drift apart in their predictions.

For example, in Newtonian mechanics, time is an absolute, fixed and immutable measurement; speed does not alter the experience of time. If Newton had access to a particle accelerator, and witnessed fast-moving particles exhibiting increased mass and time dilation, he would be at a loss to explian it with his current description of the universe. His explanation of the universe begins to break down at these high speeds.

His explanation of what would happen to a super-massive star that collapses would also not agree with relativity. A black hole does not make sense in Newtonian physics.

Again though, 99% of the time Newtonian physics is adequate for explaining what we see.
 
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DaveC426913 said:
Note for starters, that Newtonian mechanics and relativity are merely explanations for how our reality works. When we say 'Newtonian mechanics is breaking down', we merely mean it is inadequate to describe what we see.


Newtonian mechanics explains perfectly 99% of the things we see here on Earth and in space. Almost everything that happens on Earth and in much of space falls within a non-relativistic range - speeds, masses, distance, etc.

It is only when we deal with things that are ultra-heavy, ultra-fast or ultra-energetic that Newtonian predictions and relativistic predictions begin to drift apart in their predictions.

For example, in Newtonian mechanics, time is an absolute, fixed and immutable measurement; speed does not alter the experience of time. If Newton had access to a particle accelerator, and witnessed fast-moving particles exhibiting increased mass and time dilation, he would be at a loss to explian it with his current description of the universe. His explanation of the universe begins to break down at these high speeds.

His explanation of what would happen to a super-massive star that collapses would also not agree with relativity. A black hole does not make sense in Newtonian physics.

Again though, 99% of the time Newtonian physics is adequate for explaining what we see.

Does this not make Newtonian mechanics false, given that this mere 1 percent is false; if one percent of a dna strand were false, it would still look like a humans but it wouldn't make a human.

God_am: I like youre explanation of 4D very much, it makes perfect sense. This would be something called a worldline, where an event in space happes at multiple instances. Say a piece of rock moving along, it is at point A, B, and then C after that. So no position is absolute, but it has static coordinates in 4 dimensions at one instant only, and dynamic coordinates in 3 dimenions.

Makes me wonder, what would happen if you started playing around with these 4D coordinates in mathematical terms, like taking the integral of a 4D object from point A to point J.
 
Time is a dimension as x, y and z, this means when you perform transformations, as
Lorentz trans in SR and gerenal trans in GR, time transforms together with space, and they are mixed together. It is not Einstein who point out SR is a theory in 4 dimension, Minkovski did that years later.

Of course, you can write all equations in 3 dimension form and treat time separtely. But then it's difficult to check whether the theory satisfies the Lorentz inverance.
 

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