How do Lorentz transformations show the relationship between time and space?

In summary, the Lorentz transformation shows the relationship between x' and x, and t. In a single frame, time and space are unrelated, similar to Newton's mechanics. The only absolute way to connect time and space is through spacetime. The Lorentz transformation also applies to the Galilean transformation, where x' is related to x and t.
  • #1
kor
12
0
Although in Lorentz transformation, we can see that x'= related to x and t
What i don't understand is that
this is the transformation between different frame
If in a single frame
how time and space are related ?
 
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  • #2
hi kor! :smile:
kor said:
If in a single frame
how time and space are related ?

they aren't

my time may be a mixture of your time and your space, but it isn't a mixture of my time and my space :wink:
 
  • #3
tiny-tim said:
hi kor! :smile:


they aren't

my time may be a mixture of your time and your space, but it isn't a mixture of my time and my space :wink:

Oh
ic
And that only absolute way to connect your time and space to mine
is spacetime,right?
 
  • #4
kor said:
And that only absolute way to connect your time and space to mine
is spacetime,right?

i'm not sure what that means :confused:

the way to connect your time and space to mine (if we have different velocities) is through the Lorentz transformation
 
  • #5
kor said:
Although in Lorentz transformation, we can see that x'= related to x and t
What i don't understand is that
this is the transformation between different frame
If in a single frame
how time and space are related ?

In a single frame they are unrelated; this is the same as in Newton's mechanics. And note that already in the Galilean transformation we have x' related to x and t. :smile:

Cheers,
Harald
 

FAQ: How do Lorentz transformations show the relationship between time and space?

How are time and space related?

Time and space are related through the concept of spacetime, which was introduced by Albert Einstein in his theory of general relativity. This theory states that time and space are two components of a single four-dimensional continuum, where time is the fourth dimension.

How does time dilation prove the relationship between time and space?

Time dilation, which is a phenomenon predicted by Einstein's theory of relativity, occurs when the time interval between two events is perceived to be different by two observers in different frames of reference. This shows that time and space are not absolute, but are dependent on the observer's frame of reference.

Can time and space be separated?

No, according to the theory of relativity, time and space are inseparable components of spacetime. They cannot exist independently of each other and are always intertwined.

How does gravity affect the relationship between time and space?

According to Einstein's theory of general relativity, gravity is not a force between masses, but rather a curvature of spacetime caused by the presence of mass and energy. This means that gravity can bend both time and space, further demonstrating their interconnectedness.

Is there a limit to how time and space can be related?

Currently, there is no known limit to the relationship between time and space. However, theories such as string theory and loop quantum gravity suggest that at the smallest scales, the fabric of spacetime may be discrete rather than continuous, potentially changing our understanding of the relationship between time and space.

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