So while the reapers are depicted as these nigh unkillable god-like machines, based on calculations derived from codex entries and certain in-game descriptions, it would appear that the reapers could be easily killed by the alliance using available technology at their disposal.
The first thing to note is that reapers use kinetic barriers. Kinetic barriers are described by the codex as:
Kinetic barriers are repulsive mass effect fields projected from tiny emitters. These shields safely deflect small objects traveling at rapid velocities. This affords protection from bullets and other dangerous projectiles, but still allows the user to sit down without knocking away their chair. The shielding afforded by kinetic barriers does not protect against extremes of temperature, toxins, or radiation.
The important part to note is "does not protect against extremes of temperature, toxins, or radiation". This is important, because it means weapons that rely on thermal and EM radiation to do damage (like a nuke) will do damage to the body of the reaper itself and ignore its kinetic barriers.
It's also important to attempt to speculate what reapers are actually made of. Reapers are created by harvesting organic life, so it would be a reasonable assumption to assume that reapers are made exclusively from materials commonly found in organic creatures. I'm also going to assume that reapers have the technology to break down molecules into individual atoms and re-arrange them into molecules and materials of their choosing. Let's take humans for example. Reapers have a "metallic" appearance, yet the only metals found in significant quantities in humans are calcium and other alkali metals. Hard calcium has a tensile strength of around 115 Mpa, around half that of the minimum for steel or aluminum, or not very good. The other materials which the reapers could use would be hydrogen, oxygen, and carbon. The reapers could thus conceivably be made out of sort of carbon-nanotube composite which would provide both excellent strength and heat resistance.
So let's say we detonate a 1 megaton thermonuclear warhead a kilometer away from a reaper capital ship in space. When a nuke detonates it releases tremendous amounts of X-rays. On earth the atmosphere absorbs most of the X-rays, which creates the large blast and fireball that accompany nuclear explosions. In space there's no atmosphere, so the X-rays (and gamma rays) act like rays being emitted from a point source, with their energy following the inverse-square law. Now consider our one megaton bomb detonating at 1000 meters distance from the reaper. We can represent this with a sphere of radius 1000 meters with a surface area 2,600,000 square meters. A one megaton bomb will release 4.184 × 10^15 joules of energy. Diving this by the surface area we have around 332,000 kilojoules per square meter at one kilometer distance. This is more than enough energy to vaporize any material in existence, and thus vaporize the reaper, as we've already established that radiation and heat ignores kinetic barriers.
So perhaps nuke's aren't feasible for some handwaved reason. Alliance ships however are fairly large and are capable of FTL speeds using mass effect drives. Why not accelerate them to FTL speeds and ram them into reaper capital ships (assuming we make them unmanned of course)? We run into the problem that to get to FTL speeds a ship has to reduce it's mass to essentially zero, and thus would not have any kinetic energy. So let's say we retain the ships mass and accelerate the ship to 99.9999....% the speed of light (which could theoretically be done without using mass effect fields). Let's say our ship weighs 10,000 tons (about the same as a modern cruiser or destroyer), and we ram it into the reaper at light speed. This equates to 4.5 x 10^23 joules of kinetic energy, or around 100 teratons of TNT (!!!!!!!). For comparison purposes the main gun of an alliance dreadnought is stated to have 38 kiltons (TNT equivalent) of kinetic energy while the main gun of a reaper capital ship has 132 to 454 kilotons (TNT equivalent) of kinetic energy.
Let's put that into perspective. Our lightspeed kamikaze ship has over 200,000,000 times as much energy as a single shot from a reaper's main gun.
Again from the codex:
[Reapers] are extremely durable, capable of taking the continuous and simultaneous fire of four dreadnoughts before they start to lose their kinetic barriers.
Remember that the main gun of a dreadnought has 38 kilotons of kinetic energy. Our kamikaze ship has over 2 billion times as much kinetic energy. Just like the reaper in ME2 that was obliterated by a large kinetic energy weapon, I think it's fairly obvious what would happen to the reaper.
So here you have it folks, how to kill a reaper 101. Good thing the bioware writers aren't physics or engineering majors, as ME3 would have ended rather quickly.





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