The device and whatever is attached to it, can be variously described as becoming "weightless", or as emitting photon "thrust". Either way, the effect of gravity is controlled.
These are completely different concepts that you are equating here. Photons create forces through electromagnetic interactions. The unification scale where gravity is unified with the other fundamental forces is so far beyond current experimental capability that physicists can only guess at the energy level involved. You are either working with something well past the edge of current human understanding of physics, or your description is completely wrong.
This leads me to the next issue. One of the slides says "Undisputed, non-controversial science." When someone feels the need to state this explicitly, it is almost certainly because there is reason for there to be a dispute. Something proactively labelled with this statement is most likely pseudo-science, because science is about testing ideas and comparing them to the real world. If you think this statement is necessary to make, it basically guarantees that the statement is wrong, and this is a quick way to convince people you are talking about a fringe subject.
...pumping light at capacity, at a rate itself approaching the speed of light, or at least in the femtosecond range.
You just equated 3 different units, a flow rate of light (could be measured as photons per time, or energy per time (Watts)), speed (m/s), and time (femtoseconds). This at the minimum will confuse anyone as to what you are trying to say, whether they have a technical background or not. For people who know what a femtosecond and the speed of light are, it will convince them that you do not understand what you are talking about.
Still another way of looking at it is as reloading hydrogen with photon fuel. Rocket fuel is mostly light bursting out of hydrogen. This simply contains the hydrogen and reloads it. It could also be seen along the lines of "ballast", manipulating mass in a gravitational field.
I am not sure where to even begin with this statement, since everything about it is wrong. Rocket fuel is not light bursting out of hydrogen. It is hydrogen and oxygen undergoing a chemical reaction, which releases energy, primarily in the form of thermal (randomly directed kinetic) energy. (The detailed thermodynamics are more complicated than this simple picture.) The shape of the exhaust bell allows this energy to be redirected into kinetic energy of the exhaust. Thermal radiation is emitted from the hot gas, but this is effectively wasted if it is not reabsorbed within the rocket to return the heat to the gas, since the momentum/energy ratio of massless particles (like photons) is tiny.
That last sentence about manipulating mass makes so little sense that you must have the wrong idea about what those words mean in context. Without some more specifics on what you are referring to (i.e. inertial vs relativistic mass) I don't know how to explain the issues with it short of a small physics course worth of material.
I think that's enough for now, also see whitelancer64's post above mine.