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Gap measurement using a sensor Answered

I want to measure a very tiny gap of about 20-30 microns(0.02-0.03 mm) using a sensor with the help of arduino and then display it using a 16x2 Digital LCD Display. Can someone help me out with the sensor that I will need for this purpose with exact name and its working.

The gap that I want to measure is the gap between the the joints of a healing fractured bone.(the joint where the tissues develop to join the broken parts together.)

Since this is a leg bone any person walking with such a fractured bone will put pressure on the bone and the gap present in the bone will reduce. So that is what I want to measure using a sensor and arduino. Since this gap will be too small (20-30 microns) I am unable to find a suitable sensor for the same.

PS: Main issue I am facing is the measurement of gap using a sensor and arduino since I can find a suitable sensor for the same.

Please find the attachments of the bone and the gap I want to measure.

Also the thing I am doing is a close case of greenstick fracture. refer to the attachment of greenstick fracture.