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Unbound

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So, a friend of mine is working on a sci-fi novel, and he wanted to get as close to "legit" science as was possible. One of the main subjects of the story regards a quantum communication device that could maintain communication even at near light speeds without breaking causality or losing synchronicity. I have been a sort of rebound mind for him, as we have been bouncing back and forth with these ideas.

I thought some individuals might find this train of thought of be stimulating and perhaps even revealing. I am going to post not only the pictures but some of our discussion as it relates. It would be awesome to see if anyone here has more to add to our examinations.

SO! I will start with some basic images to set out our idea, included are my friend's explanations:

Hi-Rez: Relativistic Hyperframe: Showing the tessellation of space-time. 2-D projection of universal time-line and metric expansion in a non-rotating reference frame from the "big bang" to the "big rip".
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Relativistic Hyperframe: Cross Section of the present moment showing redshift and time dilation from the observer outwards in space. Both rotating and non-rotating hyper-frames are shown. Future is not shown.
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Tessellation of Space-Time at inter-galactic scales, showing the honeycomb of negatively curved (hyperbolic) in the intergalactic void, and positively curved (parabolic) spaces where galactic clusters and dark matter will accumulate. Note the Coriolis spirals flowing away from expanding spaces, and into contracting spaces. Where two expanding spaces meet, metric expansion is accelerated.
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Apparent redshift, velocity & time-dilation by distance from observer, at centre, at intergalactic scales.
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Reference frames not at rest relative to one another, superimposed. Light blue is no curvature. Red is maximum redshift in time and shortening of space, while white is maximum blueshift in time and a distending of space (positive and negative space curvatures, respectively).
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Thought Experiment Panel # 1:

The problem of accelerating one of two quantum-entangled particles.

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Thought Experiment Panel # 2:

The problem of accelerating one of two quantum-entangled particles.

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Thought Experiment Panel # 3: The problem of accelerating one of two quantum-entangled particles.

Top left: Bob and Alice are at rest from T=0 to T=10. The orange diagonal is Bob's flashlight beam which takes one second to reach Alice, and vice verse with Alice's yellow flashlight beam.

At T=10 Bob begins to accelerate.

They ping each other and check each other's clocks every passing second, both with their quantum-entangled tessarae, as well as with their yellow and orange flashlights.

Einstein's theory of relativity is described here by the reception times of each other's flashlight beams. This results in the standard relativistic red-shift of each party's measurement of the other.

Quantum entanglement is described here by a series of observations taken both by Bob and Alice via their entangled particles.

Despite their entanglement, Bob and Alice come to very different conclusions as to which signals seem "simultaneous" to each of them. As their frames of reference diverge, so too do their readings of apparently "simultaneous" phenomena.

The problems become acute when Bob decelerates again coming to rest with respect to Alice, as per the next picture in the series.

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Thought Experiment Panel # 4: The problem of accelerating one of two quantum-entangled particles. Continued from previous picture.

Top left: Bob is traveling at 60% light-speed with respect to Alice. As per the previous diagram, he has already been dispaced by 10 seconds relative to Alice.

The orange diagonals are Bob's flashlight beam, and the yellow diagonals are Alice's flashlight beam.

At Bob's T=20, Bob begins to decelerate and is at rest relative to Alice by Bob's T=35

They ping each other and check each other's clocks every passing second, both with their quantum-entangled tessarae, as well as with their yellow and orange flashlights.

Einstein's theory of relativity is described here by the reception times of each other's flashlight beams. This results in the standard relativistic red-shift of each party's measurement of the other.

Quantum entanglement is described here by a series of observations taken both by Bob and Alice via their entangled particles.

Despite their entanglement, Bob and Alice come to very different conclusions as to which signals seem "simultaneous" to each of them. As their frames of reference diverge, so too do their readings of apparently "simultaneous" phenomena.

Moreover, Alice could receive from Bob at T=19 the answer to a future question she is yet to ask at T=22, and in the meantime he would have had T=15 to think it over...

Obviously a violation of causality. What is your solution?

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Thought Experiment Solution Preamble #1: The problem of accelerating one of two quantum-entangled particles.

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Thought Experiment Solution Preamble #2: The problem of accelerating one of two quantum-entangled particles.

Bob's and Alice's frames of reference super imposed on each other.

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Thought Experiment: The problem of accelerating one of two quantum-entangled particles. SOLUTION # 1:

This solution is based on these simple premises:

1. The two entangled tesserae will behave as one object.

2. The tessera will fall into a third frame of reference, at an energy level that is the mean of the difference between Bob's and Alice's respective energy levels.

In other words, the entangled tessera will attempt to split the difference and find a frame of reference mid way between Bob and Alice's frames.

This could be modeled as here, by showing
the tessera as being the object at rest, and Bob and Alice splitting acceleration and deceleration equally between them.

RESULT: They would both observe the tesserae blue-shift during acceleration and then redshift during deceleration.

They would each have lost T=-1.5 relative to the tesserae, BUT, nevertheless, Bob and Alice would still be in phase with each other.

Also note: NO TEMPORAL PARADOX OCCURS...

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Problem of Temporal Paradox: UNSOLVED

During acceleration, the model predicts relativistic effects. Deceleration is problematic, as it creates a temporal paradox, creating a loop, where Alice appears to Bob as if she is traveling backwards in time. It is a curiosity in the theory of relativity, and need only refer to the "appearance" of Alice in Bob's frame of reference. However, it is a big problem in the case that Bob and Alice are communicating via quantum entanglement, in which case it allows Alice to receive an answer from Bob before
she has asked the question. This bizarre effect only happens during deceleration.

Here, I failed to prove a hypothesis that perhaps the apparent "time-loop" is a function of degree of acceleration, and may define a maximum rate
of acceleration. Perhaps nature would disallow information traveling back in time by putting a limit on the rate of acceleration possible for any massive particle. However, while slowing Bob's rate of acceleration by 30% compacts his quantum measurements of Alice into legality, his flashlight still shows the "singularity" or loop, or fold in time. Here, if Bob only accelerates for longer, even at a slower rate, we are right back where we started.

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Phase-Shifting of Entangled Tesserae During Acceleration and Deceleration.

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Accelerating quantum-entangled particles. SOLUTION # 2: 1 of 5: AT REST

Alice sends her messages as she and Bob start at rest and approach the speed of light flying away from each other. Doppler shift only are illustrated, relativistic effects would increase this phase shifting even more.

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Accelerating quantum-entangled particles. SOLUTION # 2: 2 of 5: 35% Light Speed

Alice sends her messages as she and Bob start at rest and approach the speed of light flying away from each other. Doppler shift only are illustrated, relativistic effects would increase this phase shifting even more.

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Accelerating quantum-entangled particles. SOLUTION # 2: 3 of 5: 50% Light Speed

Alice sends her messages as she and Bob start at rest and approach the speed of light flying away from each other. Doppler shift only are illustrated, relativistic effects would increase this phase shifting even more.

[Image: 535784_10150654596007414_616612413_96202...6828_n.jpg]

Accelerating quantum-entangled particles. SOLUTION # 2: 4 of 5: 75% Light Speed

Alice sends her messages as she and Bob start at rest and approach the speed of light flying away from each other. Doppler shift only are illustrated, relativistic effects would increase this phase shifting even more.

[Image: 535784_10150654596012414_616612413_96202...8487_n.jpg]

Accelerating quantum-entangled particles. SOLUTION # 2: 5 of 5: 99.9999 % Light Speed

Alice sends her messages as she and Bob start at rest and approach the speed of light flying away from each other. Doppler shift only are illustrated, relativistic effects would increase this phase shifting even more.

[Image: 535784_10150654596017414_616612413_96202...3263_n.jpg]


Solution 3: Temporal Paradox Disallowed with a Spin Network Model. Here. Bob and Alice each are flying away from their initial resting points at 0.5c, their velocity relative to each other is 1c. Their entangled cargoes attempts to find equilibrium, by way of a virtual inertial frame whose world-line lay on a train-track which falls between them proportional to their respective energy levels.

Temporal anomalies and paradoxes, such as anyone detecting a message before it was sent, is disallowed, or at least disfavoured into decoherence by the increased probability around the equilibrium point of the system which will always occur *after* any message is sent.

This seems to suggest that even an instantaneous message between Bob and Alice will actually take a little time to transmit, proportional to their difference in total energy.

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Quantum Entanglement Communication Phase Shifting between lines of simultaneity in various frames of reference, including an example of a "phase orbital". The orbital describes the phase shifting, relative to a resting Bob, of Alice as she goes on a two way trip at relativistic speeds. The same infinity-symbol would also be traced if she were on a distant planet, but at a much smaller scale, according to the planet's gravitational acceleration and orbital velocities relative to Bob in the inertial rest-frame.

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More accurate depiction of various frames of reference in 20% increments from rest to the speed of light, showing proper Relativistic time dilation and hyperbolic rotation of world-lines according to the Lorentz factor.

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Illustration of the time and causality violations caused when communicating, via quantum entanglement, between accelerated frames of reference. Here, the Alice of tomorrow asks the accelerated Bob to pass the winning lottery numbers back to Alice of yesterday. He thinks about it a couple days, decides it's a good idea, and sends the numbers back to Yesterday Alice.

The verticals and diagonals are lines of simultaneity and coincidence at speeds between rest and the speed of light, rotated according to the Lorentz transforms. The time intervals are also accordingly dilated.

Solution: It's basically like the two-slit experiment. Bob is the signal source of data bits. The two slits are (a) Alice's line of simultaneity and (b) Bob's line of simultaneity.

Alice will begin to see little random dots on the screen, so to speak, but will not be able to put the data into context, or see the interference pattern as it were, until she has traversed along her timeline sufficiently long for all the little dots to start forming a recognizable pattern. By the time she gets enough data to start extrapolating Bob's likely message, it will be past that critical moment in time where the paradox would have occurred. Thus no local violation!

By Odhin! I think I've got it! Schroedinger meets Einstein and the cat is all at once dead, alive and flying along at 80%c!

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Solution: It's basically like the two-slit experiment. Bob is the signal source of data bits. The two slits are (a) Alice's line of simultaneity and (b) Bob's line of simultaneity.

Alice will begin to see little random dots on the screen, so to speak, but will not be able to put the data into context, or see the interference pattern as it were, until she has traversed along her timeline sufficiently long for all the little dots to start forming a recognizable pattern. By the time she gets enough data to start extrapolating Bob's likely message, it will be past that critical moment in time where the paradox would have occurred. Thus no local violation!

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Higher Uncertainty (Mixed State)
Depolarized
Down-Side-Depol
Down-Side

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Showing the wave function of cyclic coherence and incoherence of two entangled systems at velocity, manipulated as per previous page, with the periodic pattern measure, mark, pause / measure, erase, pause method.

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Signaling via Quantum entanglement in the megahertz range, further to Quantum Entangled Station Keeping Page 1 & 2.

Using acceleration of the entangled ensembles to affect, by the Lorentz factor, the phase wavelength of Alice and Bob's stations in superposition.

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Design for a Quantum Communication Device Using Entangled Photons:

Schematic for a single device, to be loaded with a portion of entangled photons, able to measure, mark and erase polarization based quantum qubits. See previous graphics as well.

Three of numerous possible switch modes are picture, (a) the measure and pause, (b) the measure and mark, and © the measure and erase. These three modes are part of Alice and Bob's station keeping method.

Sidewise and Downwise polarized photons are refracted into different mirrored microchambers, where they bounce around and exit, but not before being likely to produce a spontaneous photon emission from the mirror material. Between the two microchamber detectors, we can detect all the various possible states over the sampling time period:

If only the Up-microchamber produces surplus photons due to spontaneous emission, but the Down-chamber produces none, (or the inverse) we know that the photons are in a pure, polarized state.

If both microchambers show excess photons, we know that there is superposition or depolarization.

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Communication with Entanglement in Atoms trapped in Bucky-Balls, manipulated and measured with photons, and an example of a matrix of 19 such atoms, revealing just a few of over 500,000 possible states in which such a sized matrix could be configured.

Alice and Bob would use a slightly modified version of the station-keeping method as described several pages back.

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Entangled Electrons Comm Device Design #1: using entangled electrons circulating on a superconducting alloy, accelerated with a magnetic undulater. The electrons travel as a wave in a Fermi Sea, undulating in a complex wave function around the circuit.

Alice and Bob stationkeep as previous, but do not continuously accelerate, but rather only periodically accelerate their own electrons, and even then at very low energy levels.

As their frames of reference fall out of synch, or due to deliberate delay in timekeeping, the areas electric potential superimpose, falling in and out of phase.

Only when there is a correlation between Alice's and Bob's electrons does it become probable that some of the electrons will accelerate to high enough energy levels to create cyclotronic photons. Such photons are least likely, in this finely attenuated system, when Alice and Bob's electron entanglements are out of phase.

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Photon Entanglement #2: Stereo Send-Receive Channels and Multi-User Connectivity

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Photon Entanglement Communication #3 Multi-User Network. Alice, and her boyfriends including Bob and Chuck and his friend, using standard polarization stationkeeping method as described previous page. (1. Measure, Pause, Measure 2. Linear Polarize, Pause, 3. Measure, Pause, Measure, 4. Depolarize/randomize, Pause. Repeat.)

Manipulating the timing of this cycle creates a periodic phase cycle in the certainty of the measurements. It is this periodic phase cycle which is manipulated, and which plots points of extrapolation from which a signal is reconstructed.

However, no classical "signal" has actually been communicated. Exactly what Alice's measurement was is not important. What is important is knowing that (a) she took a measurement whatever it was, at (b) approximately this tiny span of time.

Each user is given one channel to use to "send" and another channel to use to "Receive". Communicate with one user or another simply by selecting a pair.

Here, rather than mirrors, or metamaterial lenses, the photons are looped in a "fibre-like" thread, or a micro-channel. The acoustic detectors are sensitive to any vibrations which may cause phase shifting or other noise in the loop, allowing the CPU to subtract such noise factors from the loop phase and polarization measurements.

Photon amplification and eventually entanglement of new photons into the bundle at high energy, occurs during the "erase-randomize" stage of the stationkeeping cycle.

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Photonic Ball of Yarn Model for Communication using Quantum Entanglement Between Thousands of Users.

Stereo photon loops and station keeping method as described previously. A sphere of layered optical fibres of thousands of individual loops.

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Quantum Entanglement Station Keeping Method Detail.

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My mind, is blown.

Unbound

Aha I haven't even posted all our commentary yet!

Should have seen how mind-blown I've been while we've been working on this aha
Can you translate all of that for me? Smile

(05-16-2012, 05:09 PM)Daydreamin Wrote: [ -> ]Can you translate all of that for me? Smile

Sure... we are ONE ! Wink