A LEAR 25B IN CLB AT FL350 HAS L ENG COMPRESSOR STALL. DECLARED AN EMER AND DIVERTED.

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THE FOLLOWING EVENTS OCCURRED ON A MAINT TEST FLT. I WAS THE PF AND THE FO WAS THE PNF (FO WAS HANDLING THE RADIOS). DURING THE CLB PHASE; WE WERE CLRED TO AN ALT OF FL450 AND WERE ON VECTORS FROM ATC. AFTER PASSING THROUGH FL350; THE L ENG COMPRESSOR STALLED. UP UNTIL THE COMPRESSOR STALL; THE ENG HAD GOOD INDICATIONS AND WAS PERFORMING NORMALLY. WE WERE MAINTAINING AN AIRSPD OF .74 MACH AND THE OUTSIDE AIR TEMP WAS -20 DEGS C AT THE TIME OF THE COMPRESSOR STALL. AFTER TRYING TO MAINTAIN ALT; IT WAS APPARENT TO ME THAT WE WOULD BE UNABLE TO. AT THIS POINT THE AIRSPD WAS DECREASING. IN FEAR OF STALLING THE ACFT AND WORSENING THE SIT; WE BEGAN A DSCNT FROM FL350. I TURNED THE ACFT DIRECTLY TOWARDS THE ARPT AS A PRECAUTION. I INSTRUCTED MY FO TO DECLARE AN EMER; AN INSTRUCTION IN WHICH HE DID NOT ACKNOWLEDGE NOR EXECUTE. MY FO BEGAN TO ARGUE ABOUT THE SIT AND MY DECISION TO TELL ATC ABOUT THE EMER. TO FURTHER COMPLICATE THINGS; MY FO BEGAN TO ARGUE WITH ATC. AFTER REPEATED ATTEMPTS BY ATC TO FIND OUT WHAT OUR PROB WAS; I FINALLY CONVINCED THE FO; IN NAME OF SAFETY; TO DECLARE AN EMER. ATC ACKNOWLEDGED OUR EMER; CLRED US DIRECT TO THE ARPT AND GAVE US A LOWER ALT. AFTER WE DSNDED THROUGH FL250; THE ENG WAS RESTARTED. WE NOTIFIED ATC THAT THE SIT WAS UNDER CTL AND WE WOULD LIKE TO CONTINUE OUR DSCNT AND LAND. THE LNDG WAS SAFE AND UNEVENTFUL. AFTER LNDG; I RECEIVED A MESSAGE FROM THE FBO TO CALL THE CTR SUPVR; IN WHICH I DID IMMEDIATELY. DURING OUR CONVERSATION; THE SUPVR HAD QUESTIONS REGARDING WHY WE DEVIATED FROM HDG AND ALT. HE ALSO QUESTIONED WHY WE HAD NOT DECLARED AN EMER IMMEDIATELY. HE MENTIONED THE FO'S TONE AND ATTITUDE WITH THE CTLRS HAD IMPLIED THAT WE DID NOT ACTUALLY HAVE AN EMER; BUT DECLARED ONE IN ORDER TO RECEIVE THE PRIORITY HANDLING. I EXPLAINED OUR SIDE OF THE STORY HOPING TO MAKE IT CLR THAT WE DID INDEED HAD AN EMER. HE SAID HE WOULD REVIEW THE TAPES AND CALL ME. AS FOR THE COMPRESSOR STALL; MAINT HAS BEEN INFORMED OF THE PROB. CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING INFO: THE RPTR STATED THE ENG STARTED STALLING CLBING THROUGH FL350 AND TURNED THE AIRPLANE FOR THE DEP STATION. FO WAS TOLD TO DECLARE AN EMER; BUT STARTED TO ARGUE ABOUT DECLARING AN EMER. MAINT WAS ADVISED OF THE ENG PROBS AND AS FAR AS HE KNOWS; BOTH ENGS WERE REPLACED WITH NO DETAILS OF FINDINGS. CALLBACK CONVERSATION WITH RPTR ACN #656085 REVEALED THE FOLLOWING INFO: RPTR STATED THAT IT WAS THE CAPT'S REQUEST THAT NO EMER BE DECLARED AND WAS A BAD DECISION. THE L ENG FLAMED OUT FIRST AND THE CAPT WAS JUST GETTING CTL OF THE ACFT WHEN THE SECOND ENG FLAMED OUT. ENG PWR WAS REGAINED AT FL240. RPTR INDICATED THAT THE MAINT FINDINGS ON THE ENGS IS UNKNOWN; BOTH WERE REMOVED AND SENT OUT.