Spacetime we are able to distinguish between different inertial frames

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SUMMARY

In our spacetime, we can distinguish between different inertial frames due to variations in the cosmic microwave background (CMB) radiation. This phenomenon indicates that the metric for our spacetime on large scales can be described mathematically, as outlined in the provided references. Specifically, the determinant of the metric tensor, det(g), is relevant in this context. The discussion also highlights that the relative speed and position of celestial bodies, such as Jupiter, further exemplify this distinction between inertial frames.

PREREQUISITES
  • Understanding of cosmic microwave background (CMB) radiation
  • Familiarity with metric tensors in general relativity
  • Knowledge of inertial frames in physics
  • Basic mathematical concepts related to determinants
NEXT STEPS
  • Study the mathematical formulation of spacetime metrics in general relativity
  • Explore the implications of cosmic microwave background variations on cosmology
  • Learn about the role of inertial frames in classical mechanics and relativity
  • Investigate the significance of determinant properties in tensor calculus
USEFUL FOR

Physicists, cosmologists, and students of general relativity seeking to deepen their understanding of spacetime and inertial frames.

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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.
 

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