Cook-Mach Parallel

Luck is generally not a kind friend of our Mr. Cook. However, years after developing the basis for his New Electrogravity Theory, he figured perhaps he would never live to see firsthand a demonstration in visible nature where he could validate his math on one particular sticky point that seemed destined to be long-hated by the lovers of the concept that nothing could approach and surpass the speed of light, and thus the tachyon must either 1) not exist or 2) never be able to travel < c. Neither point he believed, as his math suggested otherwise. Yet, one day the US Navy's Blue Angels were performing an airshow near his home, and flew directly over his head several times. He was mildly entertained, but curious nonetheless. Then suddenly, the planes broke the sound barrier and a plume of condensed air instantly formed behind the crafts in 1/2 the shape of an X-Wave, referred to in aeronatutics terms, an N-Wave. And what does the letter N look like when turned 90 degrees clockwise? Why it's a Z. And it's a Z-Wave that Mr. Cook uses in order to create an X-Wave with electrical circuits. With the N-Wave, However, the effect is commonly known in aviation circles as the Prandtl-Glauert Singularity or Vapor Cone, Shock Collar or Shock Egg.

That's it, he thought.

And thus, the Cook-Mach Parallel was born.

But what was it?

The Prandtl-Glauert Singularity comes from the Prandtl-Glauert Transformaton. And while the effect is still little understood (or should I say, still largely debated), it is very common, occuring not only when aircraft reach transonic speeds, but also with the crack of a whip in humid conditions, nuclear explosions and even some subsonic speeds in low-pressure, high-g conditions. But keep in mind, the g-force in such conditions where this occurs at subsonic speeds is due to phase shift or phase angle shift, which brings in the phase velocity condition that sets this whole phenomenon in motion.

The drawing to the left reveals the shape of the N-Wave created by a fixed-wing aircraft that becomes visible as the air pressure drops quickly upon reaching the speed of sound. The air molecules are cooled almost instantly and condense to liquid form, hence the plume behind the craft (technically, in accordance with the NET, the plume forms at the aircraft's center of gravity.

What is not shown in the drawing is the full X-Wave, which can be traced out with a few aeronautical air-flow equations. Pretty simple stuff actually...um.

Here's what it looks like completed.

The various lined patterns represent various phenomena as the craft approaches the speed of sound. The red and black lines represent the air flow, everything between the vertical solid green lines occur within what Mr. Cook refers to as the Band Gap and the blue and magenta lines are the X-Wave. Last but not least, the green dashed line in the center represents the point where the craft reaches the sound barrier.

The Band Gap opens the singularity, which expands and surrounds the craft perpendicularly to the line of flight separating the timing of sound from itself and everything outside of it. This effect will become quite revealing as this discussion moves forward.

Now, there's even more interesting aspects of this waveform, other than the subtle aeronautical disturbance the craft experiences as it crosses the barrier, which has mostly to due with the craft's shape and not the crossing of the barrier itself. For one, each of the red lines cross to and from the craft's center of gravity as it is in flight before the X-Wave is created and connect with the corresponding black lines (in the animation, they are actually disconnected slightly). When the craft hits the sound barrier, a singularity is created and thus an X-Wave and Band Gap, where the sound wave is turned 90 degrees into the Imaginary realm. It is for this reason that the plume seen behind the craft is vertically flat, 90 degrees from the line of flight of the craft. It is also for this reason that the individual in the craft does not hear the sonic boom that an outside observer does.

But what about where I read on the Internet that a true singularity really doesn't form in the Prandtl-Glauert Transformaton, as it is a linear equation, thus the air flow resistance ahead of the craft approaches infinity as it reaches the sound barrier?

This is why Mr. Cook is able to handle this situation, as he can always use his Definitive Theorem, which suggests that it does not at all approach infinity. While this could be explained with the aircraft, it's much more interesting in terms of the NET with the electron.

If one swaps out air pressure and sound with charge pressure and light, as did Mr. Cook, the aerodynamic equations work exactly the same for the electron crossing the Band Gap between the energy shells of the hydrogen atom. And interestingly enough, it turns out not only can the electron approach and surpass c, it also reverses charge and reveals from the NET that the Mach number is an identical ratio as the Fine Structure Constant. Turns out also that the Fine Structure Constant isn't constant at all, as c is not exactly constant either; it just travels around in quantum leaps from X-Wave to X-Wave always appearing to be constant from all points of view (where light can reach).

Again, the person in the aircraft does not hear the sonic boom, as the sound wave is turned 90 degrees into the Imaginary.

Here's how it works in accordance with the NET...