Spacetime we are able to distinguish between different inertial frames

In summary, the professor explained that our ability to distinguish between different inertial frames in our spacetime is due to the varying appearance of the cosmic microwave background. This raises the question of what type of spacetime we live in and how it can be represented mathematically. The article linked provides a metric for our spacetime on large scales and discusses the concept of rest frames. Additionally, the differing speed and position of Jupiter in different inertial frames also contributes to our ability to distinguish between them.
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A professor told me that in our spacetime we are able to distinguish between different inertial frames because the cosmic microwave background looks different. If this is true then what spacetime do we live in? What would it look like mathematically. Would the det(g) not be negative?
 
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We can also distinguish between different inertial frames because the speed and position of Jupiter looks different in them. There's no difference here.
 

1. What is spacetime and how is it related to inertial frames?

Spacetime refers to the four-dimensional continuum of space and time in which all physical events occur. It is a concept used in the theory of relativity to describe the relationship between space and time. Inertial frames are frames of reference in which an object at rest remains at rest and an object in motion remains in motion with a constant velocity, unless acted upon by an outside force. In the theory of relativity, spacetime is used to describe the behavior of objects in different inertial frames.

2. How do we distinguish between different inertial frames?

We can distinguish between different inertial frames by observing how objects behave in those frames. In an inertial frame, an object at rest remains at rest and an object in motion remains in motion with a constant velocity, unless acted upon by an outside force. If we observe different objects in different inertial frames and see that they behave in the same way, we can conclude that those frames are equivalent.

3. Why is it important to distinguish between different inertial frames?

It is important to distinguish between different inertial frames because it allows us to understand the behavior of objects in different reference frames. This is crucial in the theory of relativity, as it allows us to accurately describe and predict the behavior of objects in motion. Additionally, understanding inertial frames is important in fields such as physics and engineering, where precise measurements and calculations are necessary.

4. Can we always distinguish between different inertial frames?

Yes, we can always distinguish between different inertial frames by observing the behavior of objects in those frames. In an inertial frame, the laws of physics should appear the same regardless of the frame of reference. This means that if we observe the same event in two different inertial frames, we should see the same outcome. If we see different outcomes, then we can conclude that the two frames are not equivalent.

5. Are there any limitations to distinguishing between different inertial frames?

There are limitations to distinguishing between different inertial frames, particularly when considering very high speeds. In the theory of relativity, as an object approaches the speed of light, its behavior may become more difficult to understand and predict. Additionally, the effects of gravity and acceleration may also complicate our ability to distinguish between inertial frames. In these cases, more advanced theories and calculations may be needed to accurately describe and distinguish between different frames of reference.

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