So far, all available evidence shows that consciousness is a (very complicated) process of the physical brain (actually of the entire nervous system with influences from body chemistry), with no component not of the physical body.
As such, talking about consciousness continuing after the brain has been rendered inoperable would be pure wishful thinking of the magical/narrative type humans are very good at, but which has no base in actual reality.
Reductionist and proud of it.
Being ignorant is not so much a shame, as being unwilling to learn. Benjamin Franklin
Chase after the truth like all hell and you'll free yourself, even though you never touch its coat tails. Clarence Darrow
A person who won't read has no advantage over one who can't read. Mark Twain