Wavelength approaching the Planck length

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Discussion Overview

The discussion revolves around the implications of heating an object to Planck temperature and the resulting electromagnetic waves emitted, particularly focusing on the behavior of wavelengths as they approach the Planck length. The scope includes theoretical considerations and speculative reasoning about extreme physical conditions.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant questions what happens to the wavelength of electromagnetic waves emitted by an object as it is heated to Planck temperature and whether it can become shorter than the Planck length.
  • Another participant asks if the Planck length is considered the shortest possible length and requests a reliable source to support this claim.
  • A participant notes that current theories have not been tested at the scales of Planck length and temperature, indicating uncertainty about the scenario posed.
  • Concerns are raised about the feasibility of heating an object to Planck temperature, with calculations presented to illustrate the immense energy required to achieve such a state.
  • One participant suggests that while the energy requirement is not feasible, it is still theoretically possible.

Areas of Agreement / Disagreement

Participants express uncertainty about the behavior of wavelengths at Planck scales and the feasibility of reaching Planck temperature. There is no consensus on whether the Planck length is the shortest possible length, and the discussion remains unresolved regarding the implications of heating an object to such extreme conditions.

Contextual Notes

The discussion highlights limitations in current theoretical frameworks and the extreme energy requirements for heating matter to Planck temperature, which are not practically achievable with existing technology.

YoungPhysicist
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If I heat up an object,the object emits a electromagnetic wave with a shorter and shorter wavelength.

But if I heat an object up to Planck temperature, and making the EM wave that it emits has a wavelength of Planck distance,what will happen when I heat it up even more? Will the wavelength become even shorter,or it is not possible?
 
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Hi Young physicist,
Young physicist said:
planck distance
I assume you mean Planck length.
Young physicist said:
[...]and making the EM wave that it emits has a wavelength of Planck distance,what will happen when I heat it up even more? Will the wavelength become even shorter,or it is not possible?
Do you think the Planck length is the shortest possible length? If so, could you please try to find a good physics source that says so? :wink:
 
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The Planck length and the Planck temperature are many, many orders of magnitude beyond where are current theories have been tested. So nobody really knows what would happen in the scenario you are asking about. Also, there is no conceivable way to heat up an object to the Planck temperature. To put it into perspective, suppose I had a 1 g object and I wanted to heat it up to the Planck temperature. The object has about 10^23 atoms in it, and each atom would need to have ~kTp of energy, which is ~10^9 Joules. So we would need to impart 10^32 Joules of energy to this 1 g object. Mankind's total energy usage is about 10^21 Joules/year. So you would need to store up our total energy usage for 100 billion years and then give it all to 1 g of matter. Sound feasible?
 
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phyzguy said:
So we would need to impart 10^32 Joules of energy to this 1 g object. Mankind's total energy usage is about 10^21 Joules/year. So you would need to store up our total energy usage for 100 billion years and then give it all to 1 g of matter. Sound feasible?
Not quite feasible,but still possible:wink:
 

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