Can Photons Orbit in Flat Spacetime?

In summary, two photons traveling parallel to one another cannot orbit each other perpendicular to their direction of travel. This is because they would be outside each other's light cone, preventing the transfer of gravitational information. Although gravity is directed toward an object and experiences no time delay, it is limited by the speed of light. This means that it cannot transmit information faster than the speed of light.
  • #1
duordi
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Two photons are traveling parallel to one another.
Can the photons orbit one another perpendicular to the direction of travel?

That is can the photons follow a stable long spiral path in flat space-time.

The photons have no rest mass but they are not at rest.

If they are traveling ( almost ) parallel paths they would be outside each others light cone and therefore no gravitational information can be transferred from one photon to another.

Gravity however is directed toward where an object is and experiences no time delay, it also escapes a black hole so it seems to have properties which may escape a light cone.
 
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  • #2
duordi said:
Two photons are traveling parallel to one another.
Can the photons orbit one another perpendicular to the direction of travel?

That is can the photons follow a stable long spiral path in flat space-time.

The photons have no rest mass but they are not at rest.

If they are traveling ( almost ) parallel paths they would be outside each others light cone and therefore no gravitational information can be transferred from one photon to another.

Gravity however is directed toward where an object is and experiences no time delay, it also escapes a black hole so it seems to have properties which may escape a light cone.

Gravity is limited by the speed of light.

Think of c as a fundamental constraint on EVERYTHING, if it can be used to transmit information then it cannot travel any faster than c (299,792,458m/s).
 
  • #3


No, photons cannot orbit in flat spacetime. This is because photons do not have mass and therefore do not experience the effects of gravity. In order for an object to orbit another object, there must be a gravitational force between them. Since photons do not interact gravitationally, they cannot orbit each other.

Additionally, photons always travel at the speed of light and cannot be slowed down or sped up. This means that they cannot follow a curved path, such as a spiral, as this would require a change in their speed or direction.

It is also important to note that the concept of "orbit" typically refers to the motion of an object around a central mass, such as a planet orbiting a star. In the case of two photons traveling parallel to each other, there is no central mass for them to orbit around.

While gravity may have some properties that seem to escape a light cone, this does not change the fact that photons do not experience the effects of gravity and therefore cannot orbit in flat spacetime.
 

1. Can photons orbit in flat spacetime?

No, photons cannot orbit in flat spacetime as they travel at the speed of light and do not have a mass or charge that would allow them to be influenced by gravity in the same way as other particles.

2. Why do some people believe photons can orbit in flat spacetime?

Some people may believe this because of the concept of gravitational lensing, where light from distant objects appears to bend around massive objects. However, this is due to the distortion of spacetime by the massive object, not the photons actually orbiting around it.

3. Can photons orbit in curved spacetime?

Yes, in theory, photons can orbit around a massive object in curved spacetime. This is known as a photon sphere and has been observed in simulations and theoretical models.

4. How does the curvature of spacetime affect the path of photons?

The curvature of spacetime can affect the path of photons by causing them to follow a curved trajectory around massive objects, rather than traveling in a straight line. This is known as gravitational lensing and has been observed in various astronomical phenomena.

5. Are there any real-world implications of photons orbiting in curved spacetime?

While photons do not actually orbit in the same way as other particles, the concept of gravitational lensing has practical applications in astrophysics. It allows scientists to observe distant objects that would otherwise be hidden behind massive objects, providing valuable insights into the universe's structure and evolution.

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