Take three bowls. Fill the first with ice water, the second with tepid water, and the third as hot as you can stand it. Put one hand in the ice water, the other in the hot. After thirty seconds, move both hands to the tepid. Is the water hot, cold or the same temperature it's been?
One hand perceives the water as cold, the other as hot. Which of your perceptions are correct? It would take an outside, constant measurement to prove. The reality remains that the tepid bowl is still tepid, your perception would say that it is two different temperatures. So, either there is some discrepancy between your perceptions and the reality, or you are holding the many-worlds theory in your hands. Petting Schrodinger's cat, maybe.