Overcoming Electrostatic Forces for Fusion: Can a Faraday Cage Help?

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Overcoming electrostatic forces is crucial for achieving hydrogen fusion, as these forces cause hydrogen nuclei to repel each other. The idea of using a conducting sphere, like a Buckminsterfullerene, as a Faraday cage could potentially help by inducing charges that weaken the electric field around the nuclei. However, the significant size difference between protons and hydrogen atoms complicates this approach, as protons are much smaller than the hydrogen atom's electron cloud. Muon-catalyzed fusion presents a viable alternative, as muons can replace electrons and facilitate fusion at lower temperatures, but their short half-lives and production challenges limit practical applications. Achieving efficient muon production could lead to advancements in cold fusion technology.
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The most difficult aspect of hydrogen fusion is overcoming the electrostatic forces that cause the hydrogen nuclei to repel each other.

Would it be possible to place one of the nuclei inside some conducting sphere like a Buckminsterfullerene so that the fullerene acts as a Faraday cage?
The fullerene would have an induced negative charge on the inner surface, and an induced positive charge on the outer surface. When the second nucleus is brought nearby, the positive charge on the outer surface will accumulate on the side of the cage further away, and some negative charge would accumulate on the side closer to the outside positive charge.
Would this setup effectively weaken the strength of the electric field that either one of the nuclei encounters?
 
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You don't even need to construct a shell. Drop an electron on orbit with a proton. You get a hydrogen atom. That electron shell already neutralizes the proton's charge. That's why you can stick two hydrogen atoms together.

The problem is the size difference. Protons are on the order of femtometer. Hydrogen atom is on the order of an angstrom. That's 10,000 times too big. And the reason for that is electron's mass. They are just too light. What you need is a particle with similar properties, but significantly heavier. And we have one. Muon works just fine. And indeed, muon-catalyzed fusion is a thing. Look it up. You get significant fusion rates even at room temperatures.

Trouble is, muons have short half-lifes, and they are difficult to produce in high quantities without high energy losses. If you could find a way to produce muons at near 100% efficiency, you could easily have cold fusion.
 
What's the process in which the muon takes the place of an electron of the H2?
 
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