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 Can we inplement the privacy features of Monero in BTC (on main chain or layer 2 like Lightning or others) and have the best of both world? 
 The short answer is that at the moment there is no way to do it. 

The long answer is that the only way to do it at the moment is a sidechain like liquid, liquid uses CT as a monero, although it does not use ring signatures because these are one of the culprits that can create hidden inflation, if hidden inflation is created then 1 L-BTC will no longer be equal to 1 BTC and the sidechain loses all credibility.



 
 For sure that's the main issues of fully private coin, you cannot control the supply, especially when it's on second layer or worst, on centralized exchanges. 
 that isn't correct.

with zero knowledge proofs you can prove something without seeing it.
like "the sum of the inputs and outputs of this transaction equal zero"

lemme ask ya
how do you verify the supply now? 
 dude you have to stop fronting like this.

there was never any Ringsig connection to an inflation bug.

there WAS a bug in the ring selection algorithm that allowed statistical correlation of the decoys IF you were spending a fresh output

so please.
change the PFP? 
 Yes, that's what should have happened once the power of ring signatures was obvious. 

But that requires a hard fork unless you use some sidechain.