Space Time Interval: Expressions & Confusion

In summary, there is some confusion about the expression for finding the spacetime interval, as different books use different conventions. However, as long as one remains consistent, the physics will be the same. The criteria for determining whether an interval is time-like or space-like may also change depending on the convention used.
  • #1
Amith2006
427
2

Homework Statement



I am bit confused about the expression for finding the space time intervel. Some books say it is,
(spacetime intervel)[tex]^{2}[/tex]=(time intervel)[tex]^{2}[/tex] - (space intervel)[tex]^{2}[/tex]
while some books say it is,
(spacetime intervel)[tex]^{2}[/tex]=(space intervel)[tex]^{2}[/tex] - (time intervel)[tex]^{2}[/tex]

Homework Equations





The Attempt at a Solution


 
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  • #2
It's just a convention, pick one and stick to it. The physics will be the same.
 
  • #3
As mentioned above it's just based on the adopted convention. http://en.wikipedia.org/wiki/Sign_convention#relativity - This wiki article on the sign conventions employed may help clear things up. It is something of an arbitrary choice though as long as you remain consistent.
 
Last edited:
  • #4
The criteria for an intervel being time like or space like just get interchanged. Maybe it is not a universal fact as u say. Anyway, thanks guys.
 

1. What is space-time interval?

The space-time interval is a concept in physics that measures the distance between two events in the fabric of space and time. It is a combination of the spatial distance between two points and the time interval between them.

2. How is space-time interval expressed?

The space-time interval is expressed using the equation: s^2 = (Δx)^2 + (Δy)^2 + (Δz)^2 - (cΔt)^2, where s is the space-time interval, Δx, Δy, and Δz are the spatial distances, c is the speed of light, and Δt is the time interval.

3. What is the significance of space-time interval in physics?

The space-time interval is significant in physics because it is a fundamental concept in understanding the relationship between space and time. It is used in various theories, such as Einstein's theory of relativity, to describe the behavior and interactions of objects in the universe.

4. How does space-time interval differ from regular distance?

Unlike regular distance, which is absolute and independent of the observer's frame of reference, the space-time interval is relative and depends on the observer's frame of reference. This means that different observers may measure different space-time intervals for the same events.

5. Why is there confusion surrounding space-time interval?

There is confusion surrounding space-time interval because it is a complex concept that challenges our everyday understanding of space and time. It also requires a deep understanding of physics and mathematics to fully comprehend. Additionally, the concept is often used in abstract and theoretical discussions, making it difficult for non-scientists to grasp.

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