 
We have landed on a plan to fully deprecate this currency. Once deprecated, infusion will cost an amount of Enhancement Cores and Glimmer.
Overall, we've found that Unstable Cores have been too restrictive across power levels and fail to drive interesting buildcraft decisions, whether they be powering up through Campaign missions and wanting to try different weapons, or going into Endgame content and looking to infuse lower-level gear to higher power levels.
We don't have an exact patch for this change just yet but are working rapidly to align on a target date. In the short term, we have two items of note shipping today with Destiny 2 Update 9.1.5.1.
Our goal is to help players with smaller amounts of unstable cores infuse gear alongside Power and Progression changes going live tomorrow until the currency can be retired:
We will provide additional updates when available.
Alethonym
Glacial Harvest
Ensnaring Slam
Weavewalk
Volatile Shields