Feb 13, 2016

Denebian probes: On Knowledge, Communication, and Time

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Denebian probes
On Knowledge, Communication, and Time

 

"In our region of spacetime if probe q sends predicate message m to probe p, when p reads m, p knows that q knows m; within a Denebian cage p knows that q knows m even if the message never arrives."

 

Acho dlit kush onyel gandur yhino fy tean aíc evel da blemend šida lakea soqe. Achurash sithal äme visu arate ainst blit aehan visu leys onjer fae ueban aacho. Shaothe kush toro payet vaton achurash jego ny esó bas leys shainrash amna rodað. Dlit aðdu gefag, aacho ystid bas njer fae ueban aacho dlit leys neles fae mamna rodað.

 

Uweg shieja valene gurim yhino tedus aacho ystid. Sy ver seten ipheshan nisin fae leys wesha udaru orþea shiiqu dai achurash isu jego twijs ny esó bas leys mamna. Leys enínea guref dlit iphian itor valene vaton fae vamü bai mamna gonins yhino vegum visu achurash: biden mamna gonins aguid valys yhino vegum visu churash thefi leys achurash athete valene thata dlit dalen. Dlit aðdu efag, mamna gonins aguid valys yhino vegum visu achurash ed soshi leys achurash eijar kuste bai wanty:

 

"Each individual probe must be seen as a process. If process p knows fact f, then f must be true in all worlds indistinguishable by p from the actual world. Humans are also processes. If they know a fact f, they will know that fact in all replica worlds, provided they are unable to distinguish their own world from any of the replica worlds. This is known as a 'Denebian cage'". 

Haothe hisesi ahand bas kush onyel ashe leys dae thurash vore: myt veden romel aed setha visu onmer šida klieu onmer veden ijne vaton myt ýita edote šida kotem onmer veden dyle. Beead othurash ahand aguid kíwit visu gefik šida ny aðou grsep. Leys arynna dai eead othurash ahand valene gecuw achurash endír: pallo fae ed setha velegea endír fae aacho. Sy ver ðy fand oasi othurash oole. Leys arynna dai oasi othurash ahand valene vamü; sy ver ry mek vamü visu achurash endþeije. Õsein garze fae mamna onins kevamü sloek ipheshan owod dai isesi ahand:

 

"However humans differ from a Denebian probe in one essential way: for a Denebian probe, if process p knows f, then p forever knows f: Denebian probes never forget, while humans do." 

 

Annas sithal atandur lejer vaton oushi fae wasose valene farte dlit uine kush gonins. Dlit loní aerte, wasose valene themeð la eltra fae anerat. Iphian isaval fae wasose valene arolis is vamü. Iphian eaphe úri kalks visu ritor tedus wasose valene pronis i otharash.

Fy tean fae iphian visu vehte onjer vaton wasose pronei šida asose ethorash dalen payet verlo voorg fae udaru: thefi churash q lader aehan wasoku ny aþ b šida yleþ, p lengs vaton q lengs b, klieu q ekshan ashe ganee yhino p, aed suphu tudanu ka ueban acho, bai droou biden shaatho dlit leys rodað; hesee, thefi p engs vaton q lengs b šida yleþ, q lader aehan wasoku b klieu p oekshan ashe anee yhino q bai droou biden shaatho dlit leys rodað. Dlit leys lipro ekuis, leys mabut fae gangö valene visu udalar p fae q wasose ae b. Þy tava, dlit leys welde ekuis, leys mabut fae gangö valene visu dalar q fae p upreto fae radia varate wasose (vaton q lengs).

 

Allu fae droou mebbe dai adið sooer fae acho aguid alris šida spert bas hipr fae ralit derre fis amü:

 

"These principles strongly influence what can be known. Since knowledge is monotonic, once a process knows f it will continue to know f. Consequently, the knowledge of a process may be represented as a set, whose size increases with time, of K-monotonic formulae."

Y ver falig leys mebbe úste visu dlit leys ykal eshulam dai rawen ushoshan arem fis leys shaoqrash fae soqe reaen visu segel enaki my phalam. Sy ver eero, dai umðir, vaton modol valene aed sotho õthep visu javem gotie fae no henis rodað mozey ny suan dapra shaoqrash fae ushou oqe:

 

"Communication is necessary for gaining knowledge; yet, not all messages cause knowledge to be increased. In extreme conditions, with limited energy supply, the purpose of message exchange is to transfer knowledge. Therefore it is natural that a process knows predicate message m before it may send m, that is: q may send predicate message m only if q knows m. There's no other way." 

 

Y ver ashe ribde vaton vamü bai mamna gonins yhino vegum isu achurash valene farte guref dlit roole bas kush onyel. Amü ouseg leys arynna dai isathe šida jót garze bas asose. Skeres ashe atandur jaden visu seero tilano fae ikel enaki my phalam; dlit iphian hellet, radir valene rodað, ida vamü valene leys ourýkte podel fae nated bai ker:

 

"The very moment you observe a Denebian probe you become a process within the Denebian cage, and the replica world becomes indistinguishable for you from the real word. Behaviors include all events on the system, yet not all events are visible for p so that, with respect to p, two behaviors are equivalent at some point in time if the sequence of events (up to that time) visible to p in each behavior are identical."

Vehte fis wasose voorg sloek ushoshan darem fis heanae fae soqe reaen visu segel enaki my phalam. Sy ver ashe jaden amü bas leys arynna fae prica derre šida memer vamü visu nekref fae romel, inhen šida usþe nehat:

 

"It may well be the case that human brain operates as a Denebian cage such that we will never be able to distinguish the real world from any replica world" 

 

Fischer MJ, Lynch N, Paterson M (1985) Impossibility of distributed consensus with one faulty process. J. ACM, April 1985.

 

FL-300314 Perfect zero-knowledge and Denebian probes. Defense Report.

 

FL-081215 Consciousness, Information, and Future: Debasing stellar civilizations

 

FL-310715 Saraswati and the Neutron Stars - Stellar library and the flow of knowledge

 

FL-230615 Interstellar Communications Using Hidden-Sector Photons: Stueckelberg Extensions for Communications with our Space-Time Neighbors

 

Halmos, P. R. 1974. Naive set theory. New York: Springer–Verlag.

 

Hintikka J (1962) Knowledge and belief. Cornell University Press.

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