I've demonstrated that this violates relativity and conservation of energy.

The Bergenholm appears to violate conservation of energy.

This type of mass applies for electrically-neutral particles since otherwise it would allow particles to turn into anti-particles, which would violate conservation of electric charge.

An isolated electron that is not undergoing acceleration is unable to emit or absorb a real photon; doing so would violate conservation of energy and momentum.

It may seem that the rocket is getting energy for free, which would violate conservation of energy.

If the vehicle carries a power source of any kind, it also violates conservation of energy...a quibble, as they are both the same law these days.

But even this violates conservation of energy.

This violates conservation of baryon number and lepton number, but the difference B L is conserved.

In 1958, Philip Morrison argued that antigravity would violate conservation of energy.

Hence, even if "new matter" were being generated to create new universes, this would not violate conservation of energy.