Aqueous Id/Everyone,Swept frequency measurements are common. You get them ready to roll in instruments like a network analyzer. But they're not opening worm holes or anything unusual like that. Nor is anyone overlooking the possibility that space might be warping around them. Alarm bells would have been ringing all over the world a very long time ago when the first tests were done, possibly as soon as Newton started playing with prisms. All of his ideas about gravity would refer to wavelengths of light.
Your basic flaw in logic is twofold. One, it violates first principles. Putting that aside, since you're convinced the principles are wrong, let's look at number two: your ideas are contradicted by nature. Consider doppler radar. If doppler caused space to warp then the measured distance to a closing target (such as an aircraft on approach to an airfield) wouldn't work. But it works. The fact that your GPS works is a testament to the stability of space (lat/long position) versus doppler (your velocity relative to the satellites). If you're concerned that that velocity is too low (which makes no sense) then consider all the high velocity cases that folks like NASA or the Air Force would commonly encounter. Yet there's no space bending there either, they manage to stay in orbit.
This is why it's very hard to unseat established principles. They aren't there just for someone's good health. They're founded in hard evidence. Something as fundamental as the stability of space under variables like the frequency of a source, especially in this day and age, would have cropped up long ago and it would be common knowledge today.
Your idea that two different things are the same because they share a common property is flawed. The fact that you can generate some spectrum artificially that matches the spectrum of a high velocity object, has no bearing on nature. If it were true, you could simply record the image and every time you played it back, the cat would levitate.
Space does not bend because the spectrum of the source shifts. The spectrum appears to the observer to shift because the emitter has a high relative velocity. These are two completely different phenomena. They do not have the same cause.
You are also flawed in thinking that there is some magic frequency at which the cat floats. That makes no sense. Space is not a filter - all frequencies get through. So how can there be a magic frequency? You seem to think there is a connection between relativity and the optical band. There's not. An EM wave of any frequency will exhibit red or blue shift whether it's light or some other emission in some other band.
You are thinking of FM (of what baseband signal I have no idea). But an object in relativistic motion emits a constant spectrum unless it's accelerating (or decelerating). So modulation of any type doesn't even play into this.
The only reason stars are known to be in redshift is because the spectral fingerprint (e.g. hydrogen) is shifted. If they were monochromatic sources, there would be no way to know they were in red shift. There would be no base frequency to compare them to, to know what to think. Unless of course it was known that all stars emit the same frequency. Then we'd have their redshift and their egress velocities. Then, by your idea, any time anyone produced light at any of those frequencies a worm hole would open and the cat would come flying out of it.
The spectral content has nothing to do with red shift. A monochromatic source will red shift under high velocity of egress. Apparently, according to your idea, the universe is established based on the signature of the hydrogen spectrum. Then, any light source that emits the same spectrum at some offset, floats the cat. But that premise makes no sense. Why would the emission spectrum for hydrogen be more special than anything else? But if you say no, it simply has to be a shifted spectrum, then I would say pick any monochromatic frequency and emit it. It can represent the red or blue shift of any other source. So cats should be flying all over the place every time any signal whatsoever is emitted.
Zero Energy Technology
A photon is emitted from a source in its inertial frame. Light always travels at the speed of light for all observers; so we never think that the photon has to catch up with a detector that is moving away from the emitter. But in a way, it does. It's called redshift. There is a mechanism that connects redshift to reference frames with a relative velocity. and how do reference frames acquire a non zero relative velocity? Acceleration.
I can see that FM radio and swept frequencies have not produced curved space effects. In defense of my frequency shift/acceleration idea, I have to go to large frequency shifts in very short time periods. I have to argue that the slope of frequency change versus time, $$\frac{\Delta f}{\Delta t}$$must be incredibly large before a noticeable acceleration field occurs. But there is catch. Someone could toggle between a red LED and a blue LED at a million times per second, and then say: Hey, I'm frequency shifting from red to blue a million times per second, but nothing is happening! So then, I have to tell you that you need dozens, hundreds of tiny frequency steps for it to work. You have to flash each one in sequence of increasing frequency. You're trying to imitate what a black hole does to a photon that falls along the black hole's radii. So someone comes along with a hundred LED's, and arranges them in a row, and turns each one on and off, one at a time, with a high speed circuit and a 26MHz clock. This person says: I don't see a gravity field? Why doesn't is work? Well, all of the frequencies have to be emitted from a single point in space.
So this experimentalist attaches a fiber optic cable, of equal length, to each of a hundred LED's, wraps the 100 opposite ends with a rubber band, turns it on, and says: what about now? I don't see anything.
So I say: All of the k-vectors are slightly different. It really doesn't look like a single point emitting a range of frequencies. Maybe from a hundred feet away it might. Why don't you try making a 100x100 lattices of rubber bounded optic cables. From far away, it might start to look like a plane wave falling into a black hole.
So the experimentalist comes back in a year with a black box. She says something about a grant, and says that this face of the box has 100x100 holes, 100 frequency steps come out of it, one at a time, in sequence, 1 million times per second. From several meters away, it looks like a frequency shifting plane wave. We look at it turned on, and it looks like white light because the frequencies blend together and our eyes can't discern the colors. By the way, 3 colors (red, green and blue pixels) on a tv screen won't work. They have to be real wavelengths and frequencies..
So we take it down to the LIGO gravity research center, and they let us shine our gravity ray box along one of the legs to see if it generates a phase difference.
I ask: when transitioning between frequency steps, do the frequencies overlap? They have to overlap.
The experimentalist say: yes, they overlap, they overlap by a few cycles, out of phase.
I say: you'll have to work on that. But let's see if LIGO can detect a gravity field. $$\frac{\Delta f}{\Delta t} = \frac{800THz - 400THz}{10^{-6} sec} = 4x10^{20}cycles/sec^2$$ which is really good. There are 100 frequency steps (that's really good). At some distance d from the black box, the frequencies combine together and look like a plane wave that is frequency shifting (that's good). The frequency shift is repeated over and over so that the curvature of space-time, if it exists, it doesn't travel away at the speed light because you keep the box turned on (that's good). The frequency steps overlap (that's good); if they don't overlap, than it doesn't look a black hole that is frequency shifting the light. From frequency step to frequency step, the phases need to line up (you'll have to work on that).
Do the emissions have enough power? I really don't know. If you get proof of concept, you'll have to measure the acceleration field versus power output.
Does it have to be visible light? Not necessarily. $$\frac{\Delta f}{\Delta t}$$ has to be high. And the frequency shift quality has to be good. If the frequency shift quality is really good, you won't need LIGO, you'll be able to counteract gravity. Quality of frequency shift depends on:
1. How many frequency steps. More than 8, less than 100 steps (?).
2. It has to look like a plane wave that is frequency shifting, at the observance point. If it looks like a frequency shifting plane wave from 10 meters distance to 10.1meters, then you can generate force fields.
3. Step to step frequency phases should line up.
Very very high quality frequency shifts will let you pursue acceleration field propulsion, and someday, the hyper drive.