Planck Photon...

Orion1

[tex]\gamma (E_1) \rightarrow e^+ + e^- \; \; \; E_1 = 2 m_e c^2[/tex]
[tex]\gamma (E_2) \rightarrow p^+ + p^- \; \; \; E_2 = 2 m_p c^2[/tex]
[tex]\gamma_p (E_3) \rightarrow m_p^+ + m_p^- \; \; \; E_3 = 2 c^2 \sqrt{\frac{\hbar c}{G}}[/tex]

[tex]E_n[/tex] - photon energy
[tex]\gamma_p[/tex] - Planck Photon
[tex]m_p^+[/tex] - Planck mass (matter)
[tex]m_p^-[/tex] - Planck mass (anti-matter)

Given that reaction 1 and 2 are possible when energically feasable, is reaction 3 possible if energically feasable?

Can a 'Planck Photon' exist at the dual Planck Energy threshold?

If possible, what type of unifying principle would such a reaction represent?

arivero

The question is, if such concentration of energy in a small region of space will blackhole itself out.

mathman

Is there such a thing as a "Planck mass" particle?

DB

I've never heard of one. I mean Planck's mass is heavy on the atomic scale. I don' t think there is. Maybe I'm wrong....

Orion1

Quote by arivero The question is, if such concentration of energy in a small region of space will blackhole itself out.

I suppose a hypothetical formula is required to determine if a Planck mass is 'stable'. What is the equation formula that could determine Planck mass 'stability'?. Is Planck mass 'stable'?

Quote by DB I mean Planck's mass is heavy on the atomic scale.

A 'particle' sized Planck mass can exist, but a Planck mass 'particle' cannot exist?

If a Planck mass 'particle' can 'exist', what family and class of known conventional particles would it most closely resemble?

Which conventional 'particle' does it most closely resemble?

DB

I'm abit confused with what your asking, but isn't the Planck mass around the mass of a flea? I'm saying that there is no atomic particle that has such as mass. Am I wrong?

Norman

I think what DB is trying to say is that the planck mass is about
[tex] 10^{-8} kg [/tex]
while atomic masses are on the order of
[tex] 10^{-26} kg [/tex]

So something of planck mass would probably obey macroscopic laws. And talking about it as a fundamental particle is a little odd.

Norman

For arguments sake the Energy of the Planck Photon mentioned above is about
[tex] 10^{10} GeV [/tex]
Where would a photon of this energy come from?

Entropy

I'm confused. I thought "plank scale" stuff was supposed to be really small. So is a plank "thing" the smallest quantity of that "thing" you can measure/have?

arivero

Entropy, the point is that mass is inverse of distance, via x=h/mc
So Planck stuff has small size, high mass, high energy. Or, the most energy (mass) you put, the more resolution you have. Electron microscopes having more resolution than optical microscopes &c.

misogynisticfeminist

Off topic, but what happens when an EM wave (or photon or whatever) has a frequency wayyyyy beyond the gamma ray and radiowave region. What would it be? What kinda properties would it have?

vincentchan

the highest photon observed is ~10^20 eV, and theoretical physics set no upper limit on energy of photon....

Norman

Do you have a reference for this?
Thanks.

Orion1

Quote by Norman So something of planck mass would probably obey macroscopic laws.

If Planck mass obeys macroscopic laws, and only microscopic particles obey De-broglie waves, then it must be stated that:

Macroscopic Law:
[tex]r_p > \overline{\lambda_p}[/tex] - Planck radius greater than Planck-De Broglie wavelength

Microscopic Law:
[tex]r_p = \overline{\lambda_p}[/tex] - Planck radius equals Planck-De Broglie wavelength

Planck Wavelength solution:
[tex]\overline{\lambda}_p = \frac{\hbar}{m_p c} = \frac{\hbar}{c} \sqrt{\frac{G}{\hbar c}}[/tex]
[tex]\overline{\lambda}_p = \sqrt{\frac{\hbar G}{c^3}}[/tex]
[tex]\boxed{r_p = \overline{\lambda}_p = \sqrt{\frac{\hbar G}{c^3}}}[/tex]

Although Planck mass appears to be a macroscopic entity, it is in fact a microscopic entity which obeys quantum laws and therefore, is a quantum 'particle'.

Quote by vincentchan theoretical physics set no upper limit on energy of photon....

- (see reference 2)

Maxwell's equations, which the derivatives describe all electromagnetic phenomena, do not describe any theoretical limit to a photon's energy, however given that photon energy is quantizised, a possible Maxwell energy solution is:

[tex]E_n = \frac{n \hbar}{\overline{\lambda} \sqrt{\mu_o \epsilon_o}}[/tex]

Given that there is no theoretical upper limit to photon energy and given that Planck mass IS a microscopic quantum particle, then reaction 3 listed above IS energetically feasable (possible).

A photon is an electromagnetic wave, and all electromagnetic waves obey the Principle of Superposition:
For two or more photons, the resultant wave function at any point is the algebraic sum of the wave functions of the individual waves.

Is reaction 1 possible through the Principle of Superposition constructive interference?
[tex]\psi (E_a)_{\gamma} + \psi (E_b)_{\gamma} = 2 \psi (2E_t)_{\gamma} \rightarrow e^+ + e^- \; \; \; E_a = E_b = m_e c^2[/tex]

Reference:
http://galileo.phys.virginia.edu/cla...equations.html
http://imagine.gsfc.nasa.gov/docs/as...s/970412e.html

Norman

Sorry, I was asking for a reference for the 10^20 eV particle, I was trying the other day to find the value for the highest energy photon observed but couldn't find anything satisfactory. I would never disagree with the photon obeying quantum laws, but it would be interesting for it to decay into these huge rest mass particles that would essentially be classical in nature. I would guess that it (the extremely high energy photon) would decay into many "quantum particles" rather than 2 essentially classical ones. It would be interesting to probe this, though I know it wouldn't be energetically feasible in the near future.
Cheers

Entropy

Oh, okay, I understand now. It's related to uncertainity.

Orion1

Based upon the Planck Photon threshold energy, what types of 'quantum particles' would be the expected 'particle' decay products?

What is the threshold energy for unification based upon the Standard Model?