So just who is going to be using a 12-passenger supersonic business jet? Getting C-suite types somewhere a couple hours faster every now and then doesn't immediately seem worth the tens of millions this thing will cost to buy and operate. (It could be a statement of power and prestige to arrive in it, or it could be statement that shareholders and their money will soon be parted.)
I could imagine a small market for something like this (depending on where it can land) in the delivery of crucial parts or personnel, for operations where downtime can cost millions of dollars a day but remote access won't cut it.

Just another useless toy for the entitled rich and infamous on which to waste their money.

Reminds me, sort of, like an X-3 Stiletto

Looking at the design photos, this aircraft is more son of F-104 Starfighter then it is son of Concord. Be that as it me, it is a beautiful design and I hope the collaboration between Boeing and Aerion works out.

The greenhouse-gas emissions per person-mile will be horrendous.

I notice that the wings are not swept back, but they look the same as the Starfighter, which is supersonic. Also like the Bell X1A.

It would be interesting to see the business case, given the fuel consumption (and greenhouse gas emissions per mile and passenger). For military aircraft, speed can mean increased survivability. Maybe for medical situations, but that will be one hefty ambulance bill. Or, as mentioned previously, movement of critical parts or possibly certain expert personnel. If not these situations, then it may just be a hubris laden toy for the mega rich (Russian oligarchs and Saudi princes, or other privileged people). Or, maybe it will just be an expensive engineering exercise.

In the 1970's the German Air Force had a saying " How do I get my own F 104? Answer: Buy a field and wait. "

The design needs small retractable wings in the front to insure safe landing. That curvature below Jet engines will create a reverse lift, why do you want that. The main wings should start from the point where Jet engines are and then gradually expand. - Imran Sheikh