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

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Discussion Overview

The discussion centers on the relationship between time and space as described by Lorentz transformations, particularly in the context of different reference frames versus a single frame. Participants explore how these transformations illustrate the connection between time and space in special relativity.

Discussion Character

  • Exploratory, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant questions how time and space are related within a single frame, noting that Lorentz transformations apply to different frames.
  • Another participant asserts that time and space are not related in a single frame, suggesting that this is similar to Newtonian mechanics.
  • There is a suggestion that spacetime serves as an absolute way to connect different observers' time and space, though this is met with confusion regarding its meaning.
  • A participant indicates that the connection between time and space for observers in different frames is achieved through Lorentz transformations.

Areas of Agreement / Disagreement

Participants express differing views on the relationship between time and space in a single frame, with some asserting they are unrelated while others explore the implications of spacetime. The discussion remains unresolved regarding the interpretation of these relationships.

Contextual Notes

There are limitations in the assumptions made about the nature of time and space in different frames, and the discussion does not fully clarify the implications of spacetime in this context.

kor
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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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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:
 
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?
 
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
 
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
 

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