As it is understood that arriving nonce is very resource intensive, whether "Digital Signature of the Block by the Miner" can be considered in place of "Nonce"? Its Shortcomings, if not suitable.
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1You seem to be confused about what the nonce actually achieves. The nonce allows miners to "rehash" the same block multiple times, eventually finding a sufficiently "difficult" block that they can publish and be rewarded for. The nonce is either picked randomly or incremented. This is much faster than a digital signature. – Alin Tomescu Jan 26 '18 at 1:19
This only raises the question of which miners' signatures are considered acceptable. If anyone can be a miner and provide a signature, then there is no security and no way to objectively determine which of many conflicting blocks is authoritative. If there is a fixed list of authorized public keys, then the currency is no longer decentralized.
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It took your answer for me to understand what the question was. Could you perhaps edit the question? – Murch♦ Jan 24 '18 at 7:06