The existence of a bromonium ion in the mechanism of the bromination of an alkene with Br2 can be seen experimentally in three experiments:
1) Ethylene can be brominated to yield 1,2-dibromoethane. If this proceeded through a mechanism which included the formation of a carbocation, this would be a very unfavorable reaction because it involves the formation of a primary carbocation.
2) The bromination of cyclohexene or some other cycloalkene yields only trans-brominated products. If the reaction proceeded through a carbocation, the reaction would produce a mixture of trans- and cis-brominated products. The diastereoselectivity of this reaction suggests a bridged intermediate.
3) In brominations, no carbocation rearrangements are observed. For example, the bromination of 3-methyl-1-butene yields 1,2-dibromo-3-methylbutane and not 1,3-dibromo-3-methybutane.