#1 The VOLTAGE on the motor terminals is called EMF/BEMF/CEMF/AEMF and occurs when the coil is being excited by a passing magnet.
Yes and is the same as the voltage applied by the user (excitation voltage), under the assumption that there is no loss in the winding of the motor itself, nor the brushes.
#2 The EMF/BEMF/CEMF/AEMF is accompanied by a CURRENT of the same phase, when a load is applied to the motor terminals
What do you mean by "Load to the motor terminals" ? The voltage source ? WHen you apply the voltage source to the motor, there will be a current through its windings, of course.
#3 The FLYBACK is a CURRENT released by the coil when its magnetic field collapses
The flyback current, is a current that is stored in the parasitic inductances or in the winding excitation in case of a series excited motor (i.e. not permanent magnet one). It is released by the parasitic inductances (or the winding excitaticion...).
#4 When the FLYBACK CURRENT is "trapped" it enters the armature (coil) and creates a VOLTAGE (also called EMF/BEMF/CEMF/AEMF?) that creates rotational motion
NO.
The flyback current is a parasitic current.
Here is how the rotational motion is created (motor is not spinning):
1) Rotor lies inside a magnetic filed (produced either by permanent magnets or by another windings "stator windings")
2) Voltage source applied to the motor terminals
3) Current flows into the rotor windings (armature).
4) Motion is created due to Lorentz law.
5) back e.m.f. (or alternative names) is created due to Farady law.
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the red paths are CURRENT, and the caption is "Motor Back EMF" which is a VOLTAGE.
They are referring to the "+" and "-" terminals which is a voltage.