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If you think about it, even WiFi is kind of a marketing term. Sure the “Wi” part means wireless, but did you ever think about what the “Fi” part means? It means it sounds good with Wi, is what it means. It sounds like HiFi, which many people are (were?) familiar with long before wireless internet, so the name was chosen simply because it sounded familiar and would be easy for people to remember.
As for WiGig, it is a wireless standard using the 60 GHz band that Qualcomm will likely be incorporating in mobile chips in the near future. It should be significantly faster than the existing WiFi standards that are currently in place. WiGig is also the name of a trade alliance made up of many of the big players (Intel, Qualcomm, Cisco, Samsung, etc.)