Did Google quantum computer change the arrow of time?

The latest FB news is that Google quantum computer has changed the arrow of time for a period of about 1 second. There is no publication of this yet but IBM made a similar announcement in 2019 (see this). It remains unclear to me what they have achieved without knowing what they mean with the time reversal.

1. Time reversal can be interpreted as a time reflection, which is a slightly broken discrete symmetry in fundamental physics. Do they construct a time revered time evolution in which initial and final states are permuted? Since complex conjugation is associated with the time reversal, a positive Hamiltonian can induce the time-reversed time evolution and no new physics would be involved.
2. Time reversal can be also interpreted as a thermodynamical time reversal. The reversal of the thermodynamical arrow of time is thought to be impossible in standard thermodynamics. There are however anomalies suggesting that this is possible. Phase conjugate laser rays are a basic example. In biology Pollack effect suggests the reversal of the arrow of time in the negatively charged exclusion zone. The inpurities are cleaned out of the system whereas thermodynamics suggests the reversal. Dissipation with a reversed arrow of time.
3. In TGD, time reversal occurs in "big" state function reductions (BSFRs) occurring in quantum measurement and induce a thermodynamical time reversal. In "small" SFRs (SSFRs), which have interpretation as internal quantum measurements of the system involving no external observer and assumed to give rise to cognition and consciousness, this does not happen. These measurements would take place in the discrete degrees of freedom predicted to be associated with the non-determism, of the classical dynamics. The sequence of SSFRs defines a conscious entity self, which would die and reincarnate with an opposite arrow of time in BSFR. Falling asleep or biological death would be familiar examples of this.

By writing "Google's quantum computer reversed the arrow of time" to Google, one learns more. AI claims that the thermodynamic arrow was not really changed. A quantum computational feat would be in question. But what does it really mean? The computer is externally controlled and the time evolution A→B is continued so that one has A→B→A. This means that a quantum measurement by an external system takes place at time T when the B→A starts.

In the TGD framework this would mean that the control inducing what looks B→A corresponds to a BSFR at time T, which reverses the arrow of geometric time. A time evolution to the geometric past by SSFRs begins at time T-ΔT₁ and eventually at time T-ΔT₂ a second BSFR occurs and the evolution with the standard arrow of time time by SSFRs begins, not at T but, at T+ΔT. ΔT would be about 1 second. The same happens as we fall asleep: we wake-up after, say, ΔT=12 hours but make a time travel to the geometric past during sleep lasting for say, 12 hours. If this interpretation is correct, the experiment could provide a direct support for the zero energy ontology of TGD.

However, a more precise TGD view of what happened is needed. In TGD cognition is predicted to be present in all scales so that I will approach the question from the point of view of TGD inspired theory of consciousness.

1. There are very delicate details involved. Second law says that the entropy S(S) of a closed system S increases. Now S is the quantum computer. There is also the entanglement entropy S(S-O) between S and that observer O. It is reported that the entropy of the quantum computer decreased during the period B→ A. It is not clear to me whether this entropy was S(S) or S(O,S)? If the system was closed during this period, the decrease of S(S) would allow us to conclude that the arrow of time was effectively changed.
2. What does the period B→ A does correspond to in TGD? Suppose that it corresponds to [T-Δ T₁, T-Δ T₂ when geometric time decreases. What does the entropy correspond to. Does it correspond to the entanglement entropy of the system + observer or to the sum of this entropy and system's internal entropy? Or is also the system s internal entropy basically entanglement entropy?
3. Intuitively it looks obvious that the first BSFR increases the information of an external observer of the system and reduces S(S-O) to zero. If the internal degrees of freedom are not entangled with external degrees of freedom, BSFR leaves S(S) unaffected. The time reversed time evolution would increase S(S) but in the opposite time direction. If S(S-O) is generated, it is reduced to zero in the second BSFR. S(S) would increase during the period [T-Δ T₁, T-Δ T₂. If an observer O with a standard arrow of time were able to observe S during this period, it would see this as a decrease of S(S).

   Also in the second BSFR the entropy would have decreased and the evolution in standard direction would have started at T+Δ T. It is difficult to say whether the entropy increased or decreased. If this was the case, the experiment would provide direct support for the zero energy ontology of TGD.

4. To gain some insight, one can compare the situation to what happens during sleep. Sleep has positive effects, perhaps due to the fact that it reduces the entropy of the sleeper. These positive effects are however felt also subjectively, rather than perceived by the external observer. Should one identify O as the field body of the system observing the biological body or is some other interpretation more appropriate?
5. There is a further delicacy involved. In TGD, the fundamental objects are 4-surfaces as slightly non-deterministic analogs of Bohr orbits for particles identified as 3-surfaces. The discrete degrees of freedom associated with the non-determinism are identified as cognitive degrees of freedom. Therefore it might make sense to speak of cognitive entropy S(cogn) associated with them.

   S(cogn) would increase as we get tired and would be reduced during sleep. Could S(cogn) correspond to entanglement entropy between cognitive degrees of freedom and those of the external world? If so, S(cogn) would contribute also to S(S-O). In BSFR also S(cogn) would be reduced to zero. If this view holds true, then the second BSFR would be responsible for the decrease of entanglement entropy.

Note that there are also other kinds of entanglements involved. Consider two systems A and B.

1. The IDF of A need not entangle with the ODF of A although the ODF of A and B can entangle. Could this relate to sensory perception?
2. The IDF of A can entangle with the ODF B. Could this make possible psychokinesis and hypnosis?
3. The IDF of A and B can entangle. Could this relate to telepathy?
4. Entanglement can also occur between the IDF and ODF of A. Could this relate to the realization of intentions in motor degrees of freedom?

See the article Are Conscious Computers Possible in TGD Universe? or the chapter with the same title.

For a summary of earlier postings see Latest progress in TGD.

For the lists of articles (most of them published in journals founded by Huping Hu) and books about TGD see this.