That looks like an all weather development of the plane shown in the appendix of Tony Butler's book on British fighters. I'm at the office, so I don't have access to my books right now, but there is a plane in that book which is a single seat day fighter with a shock cone inlet in the nose and six cannons (three in each wing) IIRC with an almost identical wing and tail. I can check when I get home.
It's an Hawker P.1092 (05.11.51)
Rôle : all-weather interceptor
Engine : one Rolls-Royce
Span : 35 ft.
Length : 55 ft.
Wing area : 580 ft²
Crew : 2
Service ceiling : 55,000 ft.
Range : 550 miles
Max speed : 1.5 M at 36,000 ft.
Weapons : two red top AAMs
-Combat aircraft prototypes since 1945, Robert Jackson, Airlife publishing ltd., 1985 (p.102)
-British secret projects : jet fighters since 1950, Tony Buttler, Midland publishing, 2000 (p.168)
I was recently given a couple of dozen tatter issues of Flying Review International that are from the early-mid '60s. In Vol. 20 No.1, there's an article called "The Frustrating 'Fifties" which covers a number of Hawker designs. Attached is P.1092 which I do not recall seeing before. Anyone have additional info ont he design and the Specification it was intended for?