Quantum corrections to Newton's law of gravity

Started by josephpalazzo, November 21, 2013, 12:36:16 PM

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josephpalazzo

One of the hot topics in physics, and this one is what I'm really interested in, is the application of QFT to systems with a classical field like gravity as a background. Here's a post by John Baez on quantum corrections to Newton's law of gravity.

V = -Gm[sub:32sgszzr]1[/sub:32sgszzr]m[sub:32sgszzr]2[/sub:32sgszzr]/r { 1 - (3G(m[sub:32sgszzr]1[/sub:32sgszzr]+ m[sub:32sgszzr]2[/sub:32sgszzr])/(rc[sup:32sgszzr]2[/sup:32sgszzr]) - 41G?/(10?r[sup:32sgszzr]2[/sup:32sgszzr]r[sup:32sgszzr]3[/sup:32sgszzr]) + ...}

Notice: the first term is regular Newton's law; the second is the GR correction to Newton's law - which gives correctly the term in the anomalous rate of precession of the perihelion of Mercury's orbit; and the third term gives the 1[sup:32sgszzr]st[/sup:32sgszzr] quantum correction to Newton's law- it contains ?, Planck's reduced constant.


Link: https://plus.google.com/u/0/11766301541 ... 7iC8XYhubZ

Sal1981

Shouldn't -Gm[sub:3k4vmyuu]1[/sub:3k4vmyuu]m[sub:3k4vmyuu]2[/sub:3k4vmyuu]/r be -G(m[sub:3k4vmyuu]1[/sub:3k4vmyuu]m[sub:3k4vmyuu]2[/sub:3k4vmyuu])/r

josephpalazzo

Quote from: "Sal1981"Shouldn't -Gm[sub:17n65nbf]1[/sub:17n65nbf]m[sub:17n65nbf]2[/sub:17n65nbf]/r be -G(m[sub:17n65nbf]1[/sub:17n65nbf]m[sub:17n65nbf]2[/sub:17n65nbf])/r

No,  :twisted:

Solitary

Or shouldn't be F=G (m1m2/r^2). If not, explain why not.  :-?  Solitary
There is nothing more frightful than ignorance in action.

josephpalazzo

Quote from: "Solitary"Or shouldn't be F=G (m1m2/r^2). If not, explain why not.  :-?  Solitary

That's the force F, what I have in the OP is the potential, V.

 :wink:

josephpalazzo

A simpler version of the Quantum correction to Newton's law in this paper:

Quantum power correction to Newton's law

Solitary

Quote from: "josephpalazzo"
Quote from: "Solitary"Or shouldn't be F=G (m1m2/r^2). If not, explain why not.  :-?  Solitary

That's the force F, what I have in the OP is the potential, V.

 :wink:


OK!  :wink:  :-D  Solitary
There is nothing more frightful than ignorance in action.

josephpalazzo

A more detail calculation on the op is found here:

PERTURBATIVE QUANTUM GRAVITY AND NEWTON'S LAW ON A FLAT ROBERTSON-WALKER BACKGROUND

This paper is longer, but gives a more comprehensive conclusion on the state of where we are on this topic. Have a good read.