Quote from: Ambatman on May 20, 2025, 06:49:41 AM

But The energy cost is tied to the search for a valid hash, not the specific output pattern.

The core idea behind Negative-Coin also searches for a valid hash, just after a NOT gate. but when when look into the matched-hash from a binary point of view, it looks like a pattern, but we still need to find a match for bits field in block header.

Quote from: stwenhao on May 20, 2025, 06:50:33 AM

Congratulations, you just invented Merged Mining: you can mine Bitcoin, and your Negative Coin, while working on the same block headers. Some of your hashes will be accepted only in Bitcoin, and others only in your Negative Coin. But because there is no overlapping, then you will have no block, which would be valid in both networks at the same time.

Thank you, Stwenhao.
Now, I can explain the core idea in more detail. Let's look at what happens during a mining process. We create a block header (Block: 897,260) and work through a series of nonces—then modify the timestamp (bfe52968) or coinbase transaction and continue:

on_chain_header_hex = "00c0002009b40357a6f4f5f92a1536d6dab86b8e43ba0d8df267010000000000000000004af906d 3c6bb6faf7b8aa8c8b5d76cfae02c7b065e744fad75fb31c9b2d19d9ebfe5296849500217bf9100 e6"

The nonce "bf9100e6" could lead us to the expected block hash:
"00000000000000000001dced560630cedb4c741e1c9adb93be7e045e46a34bc5"

And satisfy the target:
"0000000000000000000250490000000000000000000000000000000000000000"

======================================
But imagine that during the same mining process, if I was also able to find a negative match with different "Timestamp: bfe52979" and nonce "4f91aee6"—so why do we simply discard it? All we need is to allow optional space in the block for these new small values. Once they exist, we could benefit from them in several ways:

- Impact on selfish mining: Blocks with dual nonces would have priority as winner blocks.
- Impact on 51% attacks: Blocks with dual nonces would have priority as winner blocks.
- Greater resistance against quantum attacks that directly target the blockchain’s infrastructure.

And this list could expand if the idea proves its merit.

Then, one could also consider possible extra rewards on the current Bitcoin network or as an complementary incentive on another blockchain.