Corporate Dictionary Add a New Term
Going beyond your limits, pushing yourself and stepping over your shadow all seem very commendable aspirations. While there are occasions where this is the intended meaning, the more common us of this term is to ask someone to commit to a goal that is not achievable due to constraints outside their control. The underlying "you're not trying hard enough" message will typically force the recipient of such a message to commit to unrealistic goals, particularly when facing senior managers.
Translation: Get back to me now! You were most likely on a call and if the ping came from someone who has any say in your future, bonus or promotion you better excuse yourself from whatever piddling task you're engaged in. The creative reference to submarine sonar technology or in more recent days network technology doesn't mean that this will be a short ordeal, so you might as well cancel your lunch.
When you don't want to put something in writing, typically for a presentation, you suggest to voice it over, leaving very little tangible evidence. Commonly used to avoid hard commitments at a premature state. Business Manager: "Can we add that step to the risk slide?" Project Manager: "That's probably too much detail, we can just voice it over."