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The Merlin maxed out at around 2,200hp but I do agree that with modern metals, fuels and management systems a reliable 3,000hp is more than possible.
Maybe it was an Allison??? Could of swore I saw roller lifters or rockers????? puzzled.
Modern unsupercharged engines operate at a near constant "boost" (actually negative or a partial vacuum) and vary the rpm (5 to 1 or even 10 to 1) to vary the power (amount of air flowing through the engine).
RM.17SM - 2620hp @ 3150rpm, +36psi boost, ADI, special fuel.
2380hp @ 3300rpm, +30psi boost in an accidental 15 minute run.
Eventually rated for 2200hp. It certainly shows that more was possible, especially if it was allowed to rev more.
One can see a hint how modern fighter piston engines could go by looking at something like NASA's GAP program in the early 1980s, where the concentration went pretty quickly to highly supercharged two-stroke diesels with no mechanical driven scavenge pump. Another hint would be the Napier Nomad.
Two-stroke disels
Diesels may be the only route as such concoctions as 108/135 and 115/145 are thing of the past for a number of reasons, two of which are cost and safety in handling. OSHA would have conniptions if anyone tried to introduce those old fuels again with some of their toxic components.