Theoretically, can perfectly flat spacetime exist in the Universe?

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Discussion Overview

The discussion revolves around the theoretical possibility of achieving perfectly flat spacetime within the framework of general relativity. Participants explore whether such a state can exist in the presence of mass and energy, and if it can be created locally through specific arrangements of matter.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • Some participants propose that perfectly flat spacetime cannot exist if mass and energy are present, except in special cases.
  • One known method to achieve flat spacetime is to create a perfectly spherical shell of matter with vacuum inside, although this only applies to the interior and not the exterior.
  • Others argue that a spherical shell does not provide "curvature shielding" and requires a flat or spherically symmetric background to maintain flatness inside.
  • Concerns are raised about the philosophical implications of defining flat spacetime without measurement tools like rulers or clocks.
  • Some participants mention that infinite precision is unattainable due to the Heisenberg Uncertainty Principle, complicating the creation of perfectly flat spacetime.
  • There is a discussion regarding the transparency of spherical mass shells to gravitational waves, with differing views on their effectiveness as shielding materials.
  • Participants note that while gravitational waves can be attenuated, the extent of this attenuation is minimal in practical scenarios.
  • One participant suggests that the concept of a perfect sphere is fundamentally flawed, as physical objects can only approximate such shapes.
  • Another viewpoint is that achieving flat spacetime requires an exactly spherically symmetric matter distribution, which is not feasible in the real universe.

Areas of Agreement / Disagreement

Participants express multiple competing views on the existence and creation of perfectly flat spacetime, with no consensus reached on the feasibility of achieving such a state in the presence of mass and energy.

Contextual Notes

Limitations include the dependence on idealized conditions, such as perfect spherical symmetry and the challenges posed by quantum mechanics and general relativity in practical applications.

  • #31
Alien101 said:
Perfect flatness would require absolutely nothing in the entire universe
This is not correct. As already discussed in this thread, a spherical shell of matter in an otherwise empty universe has flat spacetime in the cavity inside.

You still can't have perfectly flat spacetime in the real universe, but your claim misses a case.
 
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  • #32
This thread is now closed since the OP question has been well addressed.
 

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