This looks interesting. There are relative time machines in QM, where one
system may by virtue of its energy move faster or slower in time.
For a two-state system the string of binary outputs has Kolmogorov
complexity 2^N. However, the quantum complexity is exp(2^N). for N = 4 the
K-complexity is 15, but the quantum complexity is 8886110.52. This pertains
to the possible phase structure that can exist. As a result much of the
“butterfly effect” in QM or quantum chaos is in the phasor structure.
With a black hole Alice can transform a set of states with an apparatus, so
her EPR pair is transformed into a state to be transmitted. She sends these
quantum states into her black hole and transmits this information to Bob
who is facing a black hole entangled with Alice’s. Bob then performs the
operations according to Alice’s transmission and the states Alice sent in
will appear in the quantum radiation of the BH. This is a form of
teleportation via black hole. There is no reason why Alice might decide to
transmit this information to Bob and wait a long time and send her EPR
pairs into the BH long after Bob has received these instructions. Bob then
quickly performs these operations and reconstructs Alice’s transmitted
states long before, on his Hubble frame, before Alice transmitted them.
Teleportation back in time is in principle possible with BHs.
The difference between the transmitted and received states are with the
quantum phase, where the quantum complexity of Alice’s states are not
constructible by Bob. The black hole as an Einstein-Rosen bridge is not
traversable. A traversable black hole, which violates the Hawking-Penrose
energy conditions, would allow for the duplication of a state. A
traversable wormhole with one opening boosted to a near light speed frame
and then back will have its clocks behind the first opening. Then
transmitting a quantum state into the wormhole, means at an earlier time
that state appears in the second opening so the experimenter for a time has
a copy of the state. This is a process that is not unitary. This sort of
problem does not happen with entangled black holes or ER bridges.
LC
On Thursday, July 30, 2020 at 6:02:43 AM UTC-5 cloud...@gmail.com wrote:
>
>
> https://newatlas.com/physics/quantum-time-travel-simulator-butterfly-effect/
>
>
> Recovery of Damaged Information and the Out-of-Time-Ordered Correlators
>
>
> https://arxiv.org/abs/2003.07267
>
> @philipthrift
>
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