Sadly, we hear of this over and over.
This is usually due to a defective or loose magnetron causing electrical interference and disruption in the control circuit board.
If your magnetron was recently replaced, it may have loose mounting nuts or bolts or the wire mesh RF gasket was not installed or got pinched.
It may also need a new high-voltage diode and stirrer, and the cavity may be affected.
The parts kit (that GE used to pay for) is part # WB27X10489 and is shown in the photo here:
If you or a friend decide to look into it yourselves, we have critical information on safety, disassembly and door switches at our site, and our link is at our listing here on FixYa: http://tinyurl.com/yzjozk
You can find helpful exploded view diagrams and order parts by entering your full model number here: http://tinyurl.com/gv383
If you'd rather find a ocal servicer, GE Customer Service is at
http://www.geappliances.com/service_and_support/contact/We're happy to help and we appreciate your thoughtful rating of our answer.