TheOtherDave comments on Harry Potter and the Methods of Rationality discussion thread, part 15, chapter 84 - Less Wrong
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How Magic Works, Some Facts, Inferences, Conclusions, and Speculations
The Facts:
The Speculations:
The source of magic has a certain limited number of permitted Spell to Effect associations on each power level. These associations are susceptible for expiration when no-one knows the spell anymore. High level associations were frozen in place by the Interdict of Merlin, but low level slots are still expiring, and whatever ritual the wizards use to create spells is merely triggering a garbage collect and conditional new spell insert.
Upon reception of the insert ritual, the Source of Magic scans the Wizard's mind, and performs an optimization algorithm on a set of existing spells to make a new spell which is close enough in some set of dimensions to what it thinks the Wizard wants, after which it associates the spell and effect. Therefore it would use thousands of years of existing infrastructure for making intelligent object effects.
In this scenario a wizard might be trying to create a spell for years, until a slot opens up that he will get to first, competing with everyone else trying to make spells.
Wizards, of course, not willing to accept the apparent randomness of this, have additional learned behaviors about creating spells, things they believe are required, most of which are not required and boil down to daydreaming about the effect you want and practice with the spell string and wand wave.
Can you expand on the reasoning here? I don't see how you conclude that the limitation on time turners is somehow dependent on someone thinking in terms of equinoctal hours. It seems just as plausible that the (length of day)/4 limit (which happens to equal six equinoctal hours) is based on the physics of time turning and has applied all along.
My non-conclusive arguments for this are as follows:
The length of an earth day is part of all Earth life experience, not uniquely human.
Hm. If we were using physics here, I'd observe that a usable time turner has to be tied into things like the rotation and movement of the earth, because traveling back in time without taking those things into account somehow leaves one stranded in interplanetary or interstellar space. Given that we're talking magic, well, who knows. But sure, I agree that it's suggestive but inconclusive.
A good bit off topic but replying here anyway. If humanity was not special enough to set the Interdict of Merlin on absolutely everybody it could really turn against them when the aliens arrive.
Are we certain that the amount of time that each rotation takes you actually is an equinoctal hour, or a constant? If broomsticks can use Aristotlean physics, maybe Time Turners can be limited to six solar hours.