Is that math or physics?https://twitter.com/RyanDavidReece/status/1242264472447619073 …
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yes, i agree now the minus sign is as much a convention as the metric signaturehttps://leepavelich.wordpress.com/2014/06/07/why-the-lagrangian-is-kinetic-minus-potential-energy-at-least-for-gravity/ …
though in that article it seems a bit circular since he's already working with f=-dU/dx .. but i think if you take f=dU/dx and take m<0 you'll be fine