The definition of noon is when the sun is at its highest point. Yes, due to timezones real noon may be half an hour from clock noon — but that's all (modulo places which are on a neighbouring timezone for reasons; regardless, being more than 1½ hours from real time is political stupidity).
Are you in China? I understand the PRC believes that all Chinese should be on Beijing time — c.f. above, under political stupidity.
A historically tenuous regional decision about naming, does not influence global reality beyond being contextually incompatible. So what?
+1 1PM middday.
Full disclosure : I am not a morning person.
For maximum health & energy efficiency, though, we probably ought to (just like we probably ought to build our houses so that air conditioning is optional & heating is efficient).
For instance normal time is pretty close to solar time when you're around Berlin.
Most people don't center their night around 00:00, it's usually centered around 03:00~04:00