Sean Jordan wrote:runner on second, umpire positions himself between short and third, slow rolling ground ball to third, umpire says runner beat throw to first, but the runner clearly misses first base, with the first baseman standing on first receiving the throw.
By rule, the runner is safe.
I call time
You request time.
ask the base ump to ask for help as I am thinking that missed first base with first baseman holding the ball while foot is on the bag means force out.
It isn't possible to have a "force out" at 1B. A force out can only happen when a runner is required to vacate a base because the batter became a batter-runner. The effect is relatively the same though the rule involving the BR is separate from that of a force out.
home plate ump say runner clearly missed first base, but since the runner missed first base the out can only be made as an appeal play with a tag.
Two problems here. One is that it doesn't have to be a tag. The appeal may be made by touching the base and, like a tag, the intention announced. The second it that the appeal must be made prior to the runner returning to the base or play being suspended. So, the moment the umpire recognized and granted your request for time, you lost the right to appeal the play.
Why not force out on a bang bang play with a missed base?
Because the defense did not put out the BR.