Is Truth Unequivocal, Unalterable, Constant?

First, what is truth? I like this definition: Truth is what corresponds in the mind to what is outside it. In that sense, what is true for me, may not be true for you, but that does not necessarily mean it is not true. But I doubt you are asking me for my ontological interpretation of "truth".
Since we are speaking in heavy religious terms, I'm guessing you wanted a sort of religious based reply, my thoughts as to whether the construct created by a "higher power" is unwavering, even when so many different people have so many different ideas about what this construct is? In essence, are the lessons the same even if the teacher varies? Is an apple still an apple, even if, when you look at it, it is a MacIntosh, when a Christian looks at it, it is a pear-apple, when a shintoist looks at it, it tries to walk away, and when I look at it I see nothing at all? Could it still be just a Granny Smith apple despite our inability to see it as such? and a tasty one at that?

I think, yes. The Granny Smith always exists, but we cannot comprehend it without conforming it to something we can use and digest. And yet it still hangs there, ripe for the picking, tantalizingly out of reach, yet its scent even I can smell.