Please either stabilize or pasteurize your mead. I'm ok drawing hate for this, but letting something unpasteurized or not stabilized chemically sit for that long is a fantastic way to grow botulism. Now, obviously if made following good sanitization practices the risk is very low, but if this is something you want your grandchildren to enjoy why risk it? In before the influx of "I've been aging mead/wine for years and never gotten sick!" crowd, That's fine, you do you. This is my suggestion as someone that cares about health and safety.
In the interest of health and safety, it's worth mentioning that doing something you think is safe, but isn't can be as bad, or worse, than doing nothing at all.
From what I've gleaned about botulism, there are four issues: The bacterium, the spores, the toxins, different varieties.
I gather that neither stabilising (whatever that is) nor pasteurising will kill the spores; these need to be heat treated above 121C, under pressure for several minutes.
The bacterium is killed when the alcohol content reaches 6% abv. Any spores that "hatch" would be killed by the alcohol so ageing the mead isn't an issue. Of course, after consumption, the spores could develop in the gut, but there would be no more than in the original ingredients since the bacterium cells have been killed and were unable to produce any more.
Toxins would be an issue if you were using badly infected source ingredients or poor sanitation. I don't know what level would be harmful or how they are denatured, but let's hope we are all avoiding contaminated materials.
Different varieties of the bacteria. I really don't know how they behave in alcoholic solutions or whether they are relevant to this discussion. It may be they are only relevant to choosing an antibiotic. (Or not!)
Let's also remember that wine and cider also use uncooked natural ingredients that are not pasteurised. And even bulk produced wines and ciders often only contain sulphur dioxide as an antioxidant. It so happens that
c. botulinum is a gram positive bacterium and would be vulnerable to the presence of SO2 if the cells had not already been poisoned by the alcohol.
Bottom line is that I'm not going to add any sulphites or sorbates to my mead or ruin it by attempting to pasteurise it as these processes do nothing to reduce any perceived danger.
On the other hand, I may have misunderstood how these things work and so, if it's clear that I have got something wrong, then please say so.