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Rogue One introduced the idea of Kyber Crystals in the Star Wars movie Canon.

In the 1977 movie A New Hope - we see Obi Wan Kenobi and Darth Vader battle with lightsabers and the blades repel with a 'clashing' sound.

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Also in the 1977 movie A New Hope, they introduce the Death Star. According to Rogue One - the laser in this was also built using Kyber Crystals. We see in this the laser beams coming together to combine into one large beam:

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My question is: Why do lasers from Kyber crystals in light-sabers repel noisily but lasers from Kyber crystals in the Death Star combine?

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    They’re not really the same thing; they just use similar technology. In particular, at least the first one is not a laser. – Adamant Jan 13 '17 at 10:15
  • They're also not lasers. – Paul Jan 13 '17 at 11:42
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    Keep in mind it took a whole bunch of geniuses a long time to figure out how to build the superlaser. I don't know whether "making the kyber crystals work together rather than conflicting" is canonically one of the problems they had trouble solving, but it might have been. – Harry Johnston Jan 13 '17 at 23:13
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Because lightsabers are not made of lasers

According to Wookipedia, which cites Star Wars Rebels: Visual Guide, the lightsaber blades are made from plasma. According to some pre-Disney explanations the lightsaber blades are made of plasma which is contained via an electromagnetic field; I assume the blades repel each other because of this field.

As for the Death Star, its main weapon is a superlaser - a big laser beam made of smaller laser beams. Combining laser beams is a real thing, though in the real world it requires a lens.

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    Well...the Death Star obviously must be programmed in C++, so the lens is simply declared virtual - and there you go..! :-) – Bob Jarvis Feb 26 '18 at 3:52
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Lightsabers and "Lasers" (AKA blasters) in Star Wars both work on the principles of trapping plasma in a powerful electromagnetic field. No doubt Kyber crystals are used to somehow generate the exceedingly powerful electromagnetic fields. The field tells the plasma where to go. A lightsaber is designed to trap the plasma in a long narrow blade, and when two lightsabers strike each other, their electromagnetic fields repel each other. This is like how two bar magnets will repel each other if you try to bring both their North (or South) poles together. The Death Star works on the same principle but it is engineered so that the electromagnetic field generated by the Kyber crystals takes many small beams of plasma, combines them into one larger beam, and then shoots that beam out to blow up planets.

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