Ignorant question: What would incentivize miners 50-100+ years from now to continue mining Bitcoin to maintain the network as block rewards become less profitable through the halvening?

Would people continue mining or attempting to maintain the Bitcoin network through mining in 50-100+ years from now? I suppose that as mining becomes less profitable with block rewards decreasing, what will incentivize the miners in the future?

I suppose that as the price of Bitcoin increases, rewards will still be more profitable since ~6btc/block now would be less profitable than ~3btc/block at a point in the future with the value of 1btc presumed to be higher at that future point. But if BTC does ever find a ceiling, what would the incentive be to continue maintaining the network if 100+ years from now, rewards have been halved so much?