I'm writing a science fiction story set in a future where aliens have made contact with us and established interstellar trade. I'm trying to invent a fairly believable universal standard unit of measure that both humans and aliens could use. I've been thinking about using the speed of light, which is currently inseparable from our local units of length and time. This unit of measure is the plot device which allowed these aliens to communicate with us and build the QM information link, thereby enabling interstellar coordination of shipping.
So I'm not sure how to express it in terms of TIQM information transaction cycles, but I think that’s a believable place to have one for the storyline.
TIQM stands for Transaction Interpretation of Quantum Mechanics. My unit of measure relies on the speed of information transfer - an admittedly weird language for waves traveling through time- , which follows the light cone in both directions (the advance wave and retarded wave), known as a Wheeler–Feynman handshake or transaction; the waves having coincidence at the present moment. So the principle for my fictional unit is basically that TIQM turns out to be the correct interpretation, and these aliens have figured out a way to make a universal measure of distance using the distance a photon of light travels during the time of one “echo” of the wave traveling source to destination. I’ll give it a name “Quanton” distance and most objects would be measured in large multiples of it, such as EtaQuantons.
I’m looking for help articulating the theory with accurate enough language to live in the unknowns while not blatantly contradicting known TIQM principles.
How could my aliens represent a universal measurement with the TIQM Wheeler-Feynman Handshake?
Note: this is the opposite question asked about the ansible here because that question explicitly omits quantum entanglement as the mechanism, I am relying on the TIQM interpretation entanglement to build my ansible.
Per comments, I thought it would be useful to include the dialogue of my characters. An answer simply fills in the blank in this scene with something not ridiculous.
"I can't believe it," said Dr. Smith, staring at the computer screen in disbelief. "They’ve solved the transaction interpretation of quantum mechanics."
Her colleague, Dr. Jones, came over to look at the screen. "What is it?" he asked.
"It's a universal unit of measure," Dr. Smith said. "A unit of measure that applies to everything in the universe, from the smallest subatomic particles to the largest galaxies."
"That's incredible," Dr. Jones said. "How did they do it?"
"It must have been a long and difficult process," Dr. Smith said. "But it appears the key was indeed to think of quantum mechanics as a transaction of information between two objects. However they proved this, everything soon fell into place."
Dr. Jones shook his head in amazement. "This is going to change everything," he said.
"I know," Dr. Smith said, turning sullen now. "It's the breakthrough that quantum mechanics is waiting for."
Dr. Jones paused with a puzzled look on her face. “What do you mean ‘is waiting for?’ Didn’t they share the solution?”
“We can now measure with the universal constant. They gave us little more than that.”
“Can I see the paper?” Dr. Jones took the paper from Smith’s unenthusiastic hands and began reading.
“Photons exist at the junction of two waves traveling in opposite directions through time, from the source to the destination; and vice versa. All particles do, in fact. However, photons propagate through the space portion of spacetime at an exact velocity, thereby allowing the elimination of the velocity vector from a calculation. But further, the information they sent suggests that the propagation of the waves through the time structure of spacetime is not variable, it is also a constant. Thus, the only variable remaining is distance. It can not vary, and is exact. All that remained to define a constant was ___________. This, they have found.”