Can a photon's energy be so high that it creates a black hole?

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Discussion Overview

The discussion centers around the question of whether a photon can possess enough energy to create a black hole. Participants explore the implications of energy being frame-dependent and the requirements for black hole formation.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Exploratory

Main Points Raised

  • Some participants propose that a photon cannot form a black hole due to its energy being frame-dependent, meaning different observers would measure different energies for the same photon.
  • Others argue that a mass is required to form a black hole, implying that a photon, which is massless, cannot meet this criterion.
  • A participant questions whether objects with frame-dependent energy can create a frame-invariant object like a black hole, suggesting this has not been clearly addressed in their education.
  • Another participant reflects on the implications of a cosmic ray proton's perspective, noting that its kinetic energy could lead to misconceptions about the mass of a massive star and its ability to collapse into a black hole.

Areas of Agreement / Disagreement

Participants express disagreement regarding the possibility of a photon forming a black hole, with some asserting it is impossible while others explore the implications of frame-dependence. The discussion remains unresolved.

Contextual Notes

There are limitations regarding the assumptions about frame-dependence and the requirements for black hole formation that are not fully explored. The discussion also touches on the implications of relativistic effects on mass and energy perception.

Dragonfall
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Is it possible for a photon to be so energetic that it forms a black hole?

If so, how fast would that black hole be moving?
 
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Dragonfall said:
Is it possible for a photon to be so energetic that it forms a black hole?

It is not, as the energy of a photon is frame-dependent. An observer moving away from the emitter would measure the photon as having a lower amount of energy than an observer moving towards the emitter. In addition, a photon has no reference frame that we can assign to it.
 
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We need a mass to form a black hole
 
Drakkith said:
It is not, as the energy of a photon is frame-dependent.
Wow, I love PF because I learn every day from people like @Drakkith

Do I understand correctly that objects (like photons) with frame-dependent energy can not form a frame-invariant object (like a BH) seen by observers in all frames? None of my teachers ever mentioned that implication of frame-dependent versus frame-independent. It is so simple and profound.
 
anorlunda said:
Do I understand correctly that objects (like photons) with frame-dependent energy can not form a frame-invariant object (like a BH) seen by observers in all frames? None of my teachers ever mentioned that implication of frame-dependent versus frame-independent. It is so simple and profound.

That is my understanding, but I'm not formally educated in relativity. It's just something I also picked up here at PF. :biggrin:

It does make sense given that a cosmic ray proton traveling near the speed of light may see a massive star as having an staggeringly huge amount of kinetic energy. If the object's invariant mass was dependent on its kinetic energy, this star should collapse into a black hole. But it doesn't.
 
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