The Mageknight has these abilities, relevant to the question:
Relentless Pursuit (Requires Marked class feature)
You may spend a spell point as a swift action to make a single manufactured or natural weapon attack against an enemy you have marked. This attack is made at your highest base attack bonus, and receives a circumstance bonus to damage equal to your mageknight level.
Time Shift [Core]
When using any ability gained through the mystic combat class feature, you may spend an extra spell point to decrease that ability’s required action by one step: standard actions become move actions, swift actions become free actions, etc. This cannot reduce an immediate action.
Finally, eliminate the cost of either one of them using the capstone:
At 20th level the mageknight may effortlessly combine magic and combat. Choose one mystic combat abilities that costs a spell point to use. You may use this ability without spending a spell point.
Now for 1 spell point the mageknight can make an attack at highest BAB as a free action.
Can this be used ad nauseum to make as many extra attacks in a single turn as the mageknight has spell points?