The change spatial distance between 2 events

In summary, the conversation is about the spatial distance between two events in two different inertia frames of reference and how to show this inequality. The concept of length contraction when the observer is in a moving frame is mentioned, but it may not apply when the events are in separate frames. The question remains of how an observer can measure something in another frame, as their worldview is limited to their own frame.
  • #1
kthouz
193
0
Hello! I am new in Relativity theory and i met somewhere that they say that the spatial distance between two events in two different inertia frames of reference is not the same. Did anyone meet this before. So how can one show that inequality.
I am thinking about the contraction of length when the observer is in a moving frame with a certain speed relative to a frame at rest. But as i think this can be used when both of the events are in one frame and the observer in the other.
please help!
 
Physics news on Phys.org
  • #2
how can an observer measure something in another frame ? his worldview is his frame.
 
  • #3


Yes, this is a key concept in the theory of relativity. The spatial distance between two events can indeed be different in different frames of reference, and this is known as the relativity of simultaneity. This means that events that are simultaneous in one frame may not be simultaneous in another frame, and therefore the spatial distance between them will also be different.

One way to show this inequality is through the use of the Lorentz transformation equations, which describe how measurements of time and space are affected by the relative motion between two frames of reference. These equations take into account the speed of the observer and the speed of light, and can be used to calculate the differences in spatial distance between two events in different frames.

As you mentioned, the contraction of length is also a factor in this inequality. This is due to the fact that when an object is moving at high speeds, its length appears to contract in the direction of motion. This means that the spatial distance between two events that occur along the length of the object will also appear to be shorter in the moving frame compared to the stationary frame.

So to summarize, the change in spatial distance between two events in different frames of reference is a result of the relativity of simultaneity and the contraction of length. These concepts are fundamental to understanding the theory of relativity and its implications for measurements of time and space. I hope this helps to clarify the concept for you.
 

1. How does spatial distance affect the occurrence of events?

Spatial distance can affect the occurrence of events in several ways. Firstly, events that are further apart in space may have a longer time delay between them, as it takes time for signals or information to travel. Secondly, spatial distance can impact the likelihood of events happening at the same time, as events that are closer in space are more likely to occur simultaneously. Additionally, spatial distance can also affect the perception of time, as events that are further apart may feel like they happened further apart in time as well.

2. Can the change in spatial distance between events be predicted?

In some cases, the change in spatial distance between events can be predicted. For example, if the events are related to the movement of objects, their spatial distance can be calculated using their velocities and time. However, there are also many factors that can affect the change in spatial distance, such as external forces, unpredictable events, and errors in measurement, making it difficult to accurately predict in all cases.

3. How do scientists measure the change in spatial distance between events?

There are several methods that scientists use to measure the change in spatial distance between events. Some common techniques include using tools such as rulers, measuring tapes, and lasers for smaller distances, and using GPS, radar, and satellite imaging for larger distances. Scientists also use mathematical equations and models to calculate spatial distance based on other variables, such as time and velocity.

4. Can the change in spatial distance between events be influenced by external factors?

Yes, external factors can influence the change in spatial distance between events. For example, the presence of obstacles and the speed and direction of external forces can alter the trajectory and distance between events. Additionally, changes in the environment, such as temperature and air density, can also affect the speed and path of objects, ultimately impacting the spatial distance between events.

5. How is the change in spatial distance between events relevant in scientific research?

The change in spatial distance between events is relevant in various fields of scientific research. In physics, it is crucial for understanding the motion of objects and the laws of motion. In astronomy, it helps scientists study the movement and relationships between celestial bodies. In psychology, it is essential for understanding the perception of time and the impact of spatial distance on memory and cognition. It is also relevant in other fields such as geology, biology, and engineering.

Similar threads

I Understanding Relativity of Simultaneity in Resnick, Part I
    • Special and General Relativity
Replies
16
Views
670
I Is Simultaneity Absolute or Relative in the Theory of Relativity?
    • Special and General Relativity
2
Replies
38
Views
2K
I Understanding Relativity of Simultaneity in Resnick, Part II
    • Special and General Relativity
Replies
20
Views
805
I Definition of "Spatial X Direction" in Spacetime Context
    • Special and General Relativity
2
Replies
39
Views
2K
I What, exactly, are invariants?
    • Special and General Relativity
5
Replies
144
Views
6K
I Question about the Minkowski diagram
    • Special and General Relativity
Replies
14
Views
783
I Question about full Lorentz transformation
    • Special and General Relativity
3
Replies
101
Views
3K
I Time Dilation Near a Black Hole: Accelerating Objects Approaching the Event Horizon
    • Special and General Relativity
2
Replies
35
Views
1K
I Why doesn't relativity of simultaneity lead to a contradiction?
    • Special and General Relativity
Replies
17
Views
584
I Three inertial particles: Separating the twins from the paradox
    • Special and General Relativity
2
Replies
40
Views
2K

Hot Threads

Recent Insights

Back
Top