The posting is related to the earlier posting 'Self and Binding'.  For reader's convenience I recall the basic hypothesis relevant to the model of of self and binding.

a) Selves are subsystems able to remain p-adically unentangled during subsequent quantum jumps. This means that the action of informational time evolution operator U generates real entanglement below unique pinary threshold determined by the mapping of real quantum states to their p-adic counterparts.  Thus self is critical phenomenon: only subsystems sufficiently autonomous have self.  Selfs are p-adically pure quantum states.

b) Allowed subsystems are matter-mind subsystem pairs formed by cognitive spacetime sheets and material spacetime sheets. Allowed quantum jumps mean quantum measurement reducing entanglement between matter and mind.   Strong NMP applies automatically to self and if it decomposes to subselves, separately to subselves.  Selves thus dissipate always. Dissipation is signature of self and since it is observed in all length scales it seems that the predicted infinite hierarchy having God at the top is  present.  God never sleeps since it is not entanglement with any larger matter-mind type system.

c) The experiences of subselves integrate to experience of self which is kind of abstraction about the experiences of subselves. For instance, the experiences of neurons and bodily cells should integrate in this manner to our total experience and one could achieve reliability of experiences as result of quantum statistical determinism.  This implies infinite hierarchy of experiences analogous to hierarhcy of higher and higher level computer languages or to modules of computer program.  Thus one can say that universe forms a theory about itself consisting of infinite series of abstractions.

e) Localization in zero modes characterizing classical spacetimes occurs in each quantum jump implying that the world of conscious experience is classical. This localization is very much analogous to the Orch of Penrose and can be regarded as a direct consequence of the hypothesis that quantum measurement is local operation in configuration space of 3-surfaces. Both localization and quantum measurement for localized spacetime surface define important aspects of sensory experience.

f) Psychological times for  cognitive spacetime sheets can be  defined as 'cm' time  coordinates  for cognitive spacetime sheets and as zero modes are uniquely fixed in quantum jump.  Since cognitive spacetime sheets (having finite temporal extension) quantum jump by quantum jump drift in  the future lightcone to the future direction, the arrow of psychological time emerges.

In the next section I shall consider simple model for  wake-up and falling-asleep in this scenario. Also the problem how ageing and death could be modelled in this picture, is touched.

Waking-up means formation of self. This process seems to take place gradually: subselves  of self  wake up one by one. Even subselves with different temporal cm coordinats could participate in  wake-up process. This could perhaps explain the experiences of several subsequent wake-ups: for instance, a wake up in say childhood home could be followed by a wake-up in own bed. Similarly the process of falling asleep could occur in several steps.

1.1  Wake-up and falling asleep as critical phenomena

Wake-up could occur

a) by quantum jump

b) spontaneously so that time development operat U creates p-adically unentangled state.

It seems that spontaneous wake-up is consistent with what we know about wake-up experience whereas quantum jump alternative leads to difficulties.  The arguments supporting spontaneus wake-up are following.

a) No experience of free will or  selection is  involved with wake-up process and  the process is experienced as completely spontaneous.

b)  If wake-up process corresponds to quantum jump, the quantum jump in question  should reduce entanglement between two matter-mind subsystem pairs. This is not however allowed if one requires in the scheme based on the  generalization of von Neumann's intuitions and strongly supported also by the proposed connection between infinite primes and quantum measurement theory.

c) Wake-up by quantum jump  would require that subsystem is able to generate very large entanglement in order to win entanglement entropy maximization race and wake up.  On the other hand,  sleep state is unstable: small perturbation leads to wake-up. It is  however difficult to imagine how small perturbation could generate development of large entanglement of required type. It seems that we would be fighting every morning for priviledge to wake-up and to get to our  daily jobs!

d) On the other hand, if   wake-up occurs when  informational time development operator U begins to generate p-adically un-entangled subsystem, situation changes. In real context this means that real entanglement generated by U  falls   below the pinary cutoff.  The criticality of the sleep state is in accordance with the assumption that  during sleep the real entanglement generated by U in each quantum jump is slightly above the threshold so  that small perturbations can lead to the wake-up process.  When person sleeps sufficiently long time, the entanglement generated by U lowers down to  the critical value and wake-up occurs eventually. One the other hand, when person becomes dormant,  U fails to generate unentangled state except for small periods of time and eventually person falls asleep.   For persons suffering from insomnia the entanglement during sleep  must be pathologically near to threshold.

1.2 Wake-up and sleep state need not be continuous

It is not at all clear whether the wake-up state is continuous even in wake-up state: it might well be that self exists only a fraction of time. Also during sleep self or some subselves probably exist some small fraction of time: dreams are of course good example of this.  In highly alert state this wakeup fraction would be near unity while in drowsy state it become small.  If the number of quantum jumps performed per unit of  psychological time  measures the exprerienced duration of  time, this picture explain why geometric time runs slowly in highly alert states (for instance, claimed to be experienced when person is in traffic car accident). This would however suggest that the opposite occurs when person  is bored and this seems not to be the case: perhaps the very process of getting bored is related to the state of alertness without action. If the total fraction of geometric time spend by the person in wake-up state decreases when person gets older, one can understand why the time is experienced to run faster at the older age. That time indeed runs is not a mere metaphor: the inverse for quantum jumps per psychological time measures the rate of running!

1.3 Can one stop dissipation and metabolism by getting entangled?

Sceptics certainly do not take seriously the claims that trained yogis can lower there metabolism to very low level.   They must however accept the claims that bears sleep over the winter and that their metabolism is reduced to a  very low level during  this period.  Metabolism is presumably basically dissipation and an ideal mechanism of lowered metabolism is entanglement of the entire self with larger self preventing quantum jumping inside self totally. One must however notice that in reality subselves of self can wake up during sleep so that some dissipation and metabolism occurs.

2.1 Entanglement gets too large in death

In death the entanglement generated by U should increase so much above the critical value that  wake-up process becomes impossible. For instance, the  effect of electric shocks on  patients who have suffered heart attack and lost consciousness could be understood as a large enough perturbation able to bring p-adic entanglement below the threshold.  This would mean that self indeed entangles with some larger self in death.

2.2 Is ageing similar to getting drowsy in longer length scale

The process of ageing would be a process analogous the process of getting drowsy and  falling asleep but in much longer time scales. The process would involve generation of temporal  entanglement of subsystems of self with larger selves and periods of consciousness extended outside the physical body. Perhaps the process of ageing could be a process of personal growth (in rather concrete sense!).  The temporal entanglements generated with larger selves would give rise to  larger temporal selves and  the term wakening would thus be much more than a  mere metaphor since person would spend more and more time in extended state of consciousnesss and in death leave the self bounded to the physical body. This would make possible the evolution of selves continuing after death to higher levels of conscious existence.   This picture is rather optimistic. One must also consider the possibility that self does not grow always.

2.3 What might happen to self after death?

Universe is predicted to be full of selves and one cannot say anything definite  about the fate of self after death unless one  can  decide which self can  be regarded  as the continuation of self before death.   Since self has  temporal extension it has memories about its  earlier history and one  could  identify the continuation of self after the death as that self which has  the memories of self before death.  Thus the law of Karma could perhaps  be  realized: the nature of the self carrying my memories as my subself  after death defines my reincarnation. This self can be either lower or higher in the hierarchy of selves than the self before death. If one accepts that there is infinite hierarchy of selves with free will, one cannot exclude the possibility that the selves at the same or  higher levels of hierarchy can affect about our fate after death (however  unpleasant this possibility might sound in the ears of hedonistic modern man).

2.4 Near death experiences and enlightment by entanglement

Some support for the extension of self in death is provided by near death experiences. For instance, looking one's body from outside could mean that self is entangled with a larger self formed by the personnel of hospital in the hospital room and  sees his body with the  eyes of the personnel.  Meeting one's relatives and elders could mean entanglement with a larger self formed by the selves of dead and  also living relatives. This could really occur since selves can have temporal extension.

More on the After-Life State

Note: There are three books in ps.gz format on my homepage. I hope that I can transform them to pdf format in not too distant future. There is also html article  Self and Binding  at my homepage The tables of contents of books with links to chapters which are ps.gz files are listed at Topological Geometrodynamics Topological Geometrodynamics and p-Adic Numbers  TGD Inspired Theory of Consciousness with Applications to Biosystems  Matti Pitkänen

Quantum physics