How To: Minecraft Tutorial - Instant Repeater

Such hyperbole.
"a design that I use to make redstone go 100000000 blocks"

This is impossible in a straight line, but you might be able to do it if you decide to loop this in three dimensions (up, down, left, right, forward, backward). Main reasons:

• Chunk loading range.
• The Minecraft world is not infinite. Past something like 30000000, Minecraft there are no blocks. It will still look like terrain is being generated, but if you past the limit you will fall into the Void. Also, it will be difficult to navigate because Minecraft uses a floating-point decimal system to measure your position, ant that just isn't precise with very large numbers.

actually dude you wouldnt fall into the void, you would just reach the far lands and your game would become all glitchy. Of course that just my super old version. On the newer version you just run into a glitch problem, so technaically the world really is infinite the game just cant load all of that detail past a certain point.