Trisha Shetty (Editor)

Planck angle

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In physics, the Planck angle is a hypothesised limit on the smallest discernible angle. An observable example approaching this is the astronomical observation of one of the smaller astronomical bodies, a gamma ray burster, at the furthest possible observable distance. The angle subtended by such a small object, so far away, is considered to approach the Planck limit on angles.

The Planck angle is denoted φp, is related to the ratio of the Planck length

p = G c 3 1.616 199 ( 97 ) × 10 35  m

to the classical electron radius or "electromagnetic length"

r e = 1 4 π ε 0 e 2 m e c 2 = 2.8179403267 ( 27 ) × 10 15  m ,

so that

φ P P r e 5.73 × 10 21 .

It is thought this angle is the smallest angle between the world lines of free photons, which may interact with electrons or pass through the QED vacuum.

References

Planck angle Wikipedia