Need flat spacetime to define mass and spin?

In summary, flat spacetime is a concept in physics that describes the geometry of the universe as three dimensions of space and one dimension of time that are not curved or distorted. It is necessary to accurately define mass and spin, as it provides a reference frame for measurement. In flat spacetime, mass is constant and defined as an object's resistance to changes in motion, while spin is a fundamental property of particles that remains constant regardless of position or motion. Flat spacetime is crucial in our understanding of mass and spin in the universe and allows for accurate measurement and comparison of these properties.
  • #1
copernicus1
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In his book on GR, Wald writes "the notion of the mass and spin of a field requires the presence of a flat background metric...which one has in the linear approximation but not in the full theory..."

Why do we need a flat background metric to define a field's mass and spin?
 
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  • #2
Mass and spin are essentially the 2 Casimirs of the (restricted) Poincare' group, which is the isometry group of a flat space-time.
 

1. What is flat spacetime?

Flat spacetime refers to the concept in physics that describes the geometry of the universe. It is the idea that the universe is made up of three dimensions of space and one dimension of time, and that these dimensions are not curved or distorted by the presence of mass or energy.

2. Why is flat spacetime necessary to define mass and spin?

Flat spacetime is necessary to define mass and spin because it provides a reference frame in which these properties can be accurately measured. In curved spacetime, the measurement of mass and spin would be affected by the curvature, making it difficult to obtain precise values.

3. How does flat spacetime affect the concept of mass?

In flat spacetime, the concept of mass is defined as the measure of an object's inertia, or resistance to changes in motion. This means that an object's mass is constant regardless of its position or velocity in space, as long as it remains in flat spacetime.

4. What is spin in the context of flat spacetime?

Spin is a property of elementary particles that describes their intrinsic angular momentum. In flat spacetime, spin is a fundamental property that remains constant regardless of an object's position or motion, and it is an essential component in defining an object's mass.

5. How does flat spacetime impact our understanding of mass and spin in the universe?

Flat spacetime is crucial in our understanding of mass and spin in the universe because it allows us to accurately measure and compare these properties across different objects and locations. Without flat spacetime, our understanding of mass and spin would be limited and distorted by the effects of curved spacetime.

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