If you read the bible it's easy to see that Jesus did not cease to exist when he physically died. Biblical death comes in two types.Nietzsche says God is dead which I agree with, but if the Bible trinity idea is / was true and Jesus died on the cross, staying dead for Easter weekend, surely that means God was dead too. If Jesus was God, and Jesus died, so did God, so how did the World / Universe carry on in his / their absence? If we could survive three days without God maybe we could survive forever without one too
1. Physical death - the body ceases to function but the spirit still exists.
2. Spiritual (or second) death - The spirt is temporarily or permanently separated from God's spirit.
In neither case does our soul cease to exist. God is one being made up of 3 persons. When Christ died he was temporarily separated from the father. However unlike us he had no sin so he could pick up his perfect harmony with God whenever he chose (in this case 3 days).You far oversimplified your question.