In the perfect world head space is .005 thousands meaning a full length size case is .000 or .005 thousands shorter from the head of the case to it's shoulder than the chamber (go-gage length) when measured from the face of the bolt to the shoulder of the chamber.
Your rifle with .015 thousands head space is .001 over a field reject gage, .005 over a no go-gage and .010 thousands over a go-gage, when compared to the minimum length cartridge (full length size) case the difference between your chamber length (bolt face to shoulder) and factory ammo (from the head of the case to it's shoulder) is .015 thousands.
There is a John Smith, collector/reloader/shooter in PA that was surprised he had an M1917 Enfield with .016 thousands head space, I determine head space before I load for a chamber, it is as easy for me to form first then fire than is is to take the rifle to the range then fire to determine the effect the chamber had on the case.
As was suggested, other chambers are possible, I have a P14 that is a 308 Norma mag, that is a lot of work, My Eddystone is a 30/06 + .016. I have a 30 Gibbs that is modified and improved, the shoulder has been moved forward .202 thousands, it could be called the 30/06 +.202, the neck is .217 long.
Again we are hoping there is a problem with the bolt, but I have no less than 40 03 bolts, there is not .003 difference between them, I have 8 Mauser receivers with bent bolts with out barrels, no matter what combination, bolt to receiver, there is not .004 difference.
I purchased a mill from a collector in Arlington, TX. at the time he was building an 03 period correct rifle for 1911 with a straight bolt, changing bolts was not an option, between us we have 100 plus bolts, I have one straight handled 03, point being he had a hand full of gages, he knew the go-gage would 'GO', he knew the no go-gage would not go.
I did not want to waste his time but did explain to him I could use the go-gage to determine the exact amount of head space he had, or I could use the no go-gage etc or I could check the head space three different ways with out a head space gage, long story short with a new box of Remington 30/06 ammo his rifle had .0065 head space + or - .0005 because of the difference in the length of his new Ammo from the head of the case to the shoulder. We tried a few of his bent handle bolts, no improvement, no difference.
I have new in the box 03A3 bolts, why would bolts be shipped two to the box if there was no difference in the effect the bolt has on head space? Order, use one, the other was a spare for parts? Brown and Sharp replacement bolts for 03 and 03A3s.
F. Guffey