What is the difference between these two, how does POS reduce the energy required to mine a block transaction and are either of these more secure than the other? Basically what are the pros and cons of each.
Also if POS consumes less energy, then wouldn't it be a good idea for Bitcoin to transition to a POS algorithm?
Part of the problem here is the assumption that energy usage Is the problem. That is the re framing the question by people who want to continue to control all money. < Thats a complicated topic by itself. Most people wont even see it due to the fact that they just repeat the question. Once you are just repeating the question you've lost control of the topic.
POS systems are inherently centralized systems. Thus very few people are in control of the system. The less people in control those systems means the human factor which is inherently flawed will at some point cause it to break or corrupt in some manner.
POW systems tend to be A Lot less centralized and the human factor Tends to be less of a problem. But its not a perfected system. Case in point would be Vitaliks reversal of a large transaction a few years ago. Despite ETH being POW Vitalik has centralized control. He doesn't exercise it but its there. The fact that its there proves that the human corruption faction is Very possible with ETH. ETH moving to POS simply increases that problem.
Bitcoin Has No single person or small group able to do such a thing, thus its value. At some point in the future due to Pareto distribution problems there will be in my opinion too few people in control of bitcoins processing power thus it might as well be centralized. But that day hasn't arrived and cannot be worried about a problem that hasn't occurred yet.
I am very sure lots of people smarter then me are thinking about this problem.