I have found on the internet this grid dip meter (pdf file) and I have converted it to a grid dip meter that uses self-rectification. I.e. it operates the tube only for a fraction of the time, when the anode voltage is sufficient. At other fractions the voltage is either negative or not sufficient and the tube cuts off or does not operate.
I have been introduced to self-rectification using this video
at around 13 mins.
Will my idea work?
Have I done any mistakes in the circuit (image file)?
Note that I am using a different tube, so I am not sure about it's pin 2 connection.
I'm not sure it will work or what advantage you expect from running it on AC.
The EM84 is a special "magic eye" voltage indicator that uses a specially shaped grid structure to deflect the electron beam away from a fluorescent target. If you don't run it from a constant voltage the deflection will vary with the supply voltage and at best give an indistinct display. It will do something but I'm not sure it will be anything useful!
I think the same, you should go as in the video, using a separate tube for oscillator and the magic eye as "magic eye".
Pin 2 of the EAM86 should be connected to the ground, otherwise the fluorescent field will be shifted from the middle.