From the USSA Level 100 Manual:
PHASES OF THE TURN
A traditional way to view the ski turn is by phases. In the past the turn was typically divided into three phases; "initiation", "turn", and "completion", or some similar vernacular. While this has some value, the demands of modern ski racing requires us to take another look at this phase naming strategy.
Viewing the turn as having a completion phase implies that something is completed. A component of modern ski racing is the diminishing time between turns. Today, turns essentially dissolve into one another. This makes the "completion" phase obsolete. This evolution has lead to the parody of referring to this transition between turns as the "finishiation" of the turn, comically emphasizing the overlap between the finish and initiation phases.
Sometimes we hear coaches say "he didn't finish or complete his turn". While the turn completion may be location where the athlete is suffering, this is not necessarily where the problem is located. This sort of comment is most likely referring to the shape of the turn. Specifically a turn which is not brought enough across the hill. This is not a turn completion problem but a problem within the turn itself. The athlete either needed more direction at the top of the turn or more shaping through edge and/or pressure during the turn.
From the CSIA Skiing and Teaching Methods Manual:
TURN PHASES
Turn Phases are a way of linking a skier’s movement patterns with specific parts of the turn. They provide a template for skill assessment and development by prioritizing and sequencing skills.
Turn Phases as a working tool
Although sequenced from 1 to 3 for reference, turn phases can be approached in any way that is effective for results. For example, working the timing of edging in phase 3 could be a way of developing stance in phase 1. While turn phases provide an excellent way to break down turns, skill development should always lead to linked, fluid skiing.
Phase 1: Completion to “neutral”
The skier must be balanced to manage pressure and forces generated by the turn.
The COM is released from its arc, diminishing the line of inclination. This takes the skier to flat ski(s) between turns, and lets the COM travel freely down the hill and towards the inside of the next turn.
The COM and the BOS come out of the turn together, with the skier in a balanced, neutral stance. As the skis flatten, they are released from their arc, diminishing the steering angle.
Phase 2: “neutral” to fall-line
A new turning platform is established. In parallel turns, the skier should feel the side cut of both skis.
COM maintains its momentum, moving forward and inside the arc.
The skier stays centred in anticipation of the loading that will occur later in the turn. Steering with the lower body creates a natural upper and lower body separation.
Phase 3: Fall-line to completion
The skier progressively increases edge angles through angulation. As the turn radius tightens, steering angle increases.
To manage the external forces, parallel skis as well as legs and upper body stability are crucial.
The steering and loading is timed for direction change and/or speed control and helps to create linking back into phase 1.
Adjusting Phases to different types of skiing
Turn phases apply to wedge turns also:
With equal weight on both skis, a beginner will glide between turns.
The turning platform is established as the skier creates balance over the outside ski
through separation and subtle angulation.
Edge increase is subtle, but grip with the outside ski creates deflection.
In steeps and bumps the timing of the phases change:
The edge release happens quickly and is often initiated with a hop or release of pressure.
Upper/lower body separation results from an active pivoting of the legs beneath the skier.
Steering is active, and helped by terrain contours. Edging later in the turn controls speed
There's no perfect system. But the bigger issue, as both of the above mention, is that what happens in this phase of the turn is related to what happened earlier.
As to PSIA not prescribing how to release a ski, that subject has been beat to death multiple times on this site and others prior to its existence. There's many different ways to ski and achieve the desired ski performance. It depends on equipment, terrain, conditions, and intent. And even then there's many different ways to skin a cat. Part of the strength of PSIA is that it endorses a guest centered approach that attempts to deliver what the guest wants. Part of the weakness of PSIA is that it does not have a prescribed methodology.
Mike