Lightspeed racers game?

I’ve been thinking about a car #racing #game with #relativistic effects in it (though not enough to attempt #programming it myself; front end, let alone #gamesProgramming is not really my thing)…

I imagine we set the speed of light to a human-comprehensible speed, say 100km/h. Our cars have infinite fuel tanks and even brakes, tyres etc. that never wear out or lose grip, and the thrust of really powerful real-world cars, but their length expands and contracts and mass increases with their % of our lowered c according to the usual rules of #relativity. We could even allow for lightspeed lag in seeing them, so a car 500m away would be seen where and as it was 1/200th of an hour = 18 seconds ago.

I think we’d have to ignore time dilation for a multiplayer version of the game, but perhaps that doesn’t matter? My intuitive understanding of of the #mathematics suggests it may be negligible for human noticing until up around 0.95c??? And I’m not sure that even our idealised car would often get to such speeds? I find it hard to imagine how it affects gameplay, but then again gaining intuitive understanding of relativity is kinda the point here. It could perhaps be done for a single-player version with AI opponents.

Anyway, I can’t possibly be the first to think of such a thing. Does anyone know of such a game? @gregeganSF - is this something you have knowledge of? It sounds adjacent to your kind of thing :)