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parent 3965dbccddd1cc019865caed0c662c58ee438e90
Author: miksa <milutin@popovic.xyz>
Date: Tue, 20 Jul 2021 11:28:31 +0200
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-# Classical Teleportation
-
-We are asked to discuss sending matter (A) or information (B) with respect to
-the following questions
-
- * a) scenario (A), decomposing a human being or a piece of matter before
- sending, where would you stop decomposing (organ level, cell level,
- molecule level, atom level or smaller)? Choose a level and think what
- technical limits a decomposition and rebuilding would require roughly
-
- Answer:
- All in all the smaller we go the harder it is to
- decompose, but the faster it is to send. To understand what I mean
- consider we decompose on the organ level, then we have massive parts
- that need to be sent from point A to point B via normal transportation,
- i.e. bus, car or even a spaceship. The transportation method itself
- would make the term 'teleportation' meaningless. On the other hand say
- we decompose on the molecule level however impossible it may be. Now the human
- body is made of roughly 80% H20 imagine we have constructed a safe vacuum
- pipeline to send H20 particles from point A to B, with a roughly
- estimated velocity of 0.01% of the speed of light, this would make the atom
- level teleportation faster in terms of transportation than organ level
- teleportation. But the issues we would face of decomposing a human body into
- atoms and then putting it back together are immense, not to even
- mention if we can be absolutely be certain we can compose the same
- person again, without losing personality/memory.
-
- * b) consider (A) and assume you want to send atoms. How long would it take
- to transfer the atoms of a typical human being?
-
- Answer:
- There are approximately 7*10^27 atoms in a 70kg adult body, where 80% are
- hydrogen (54%) and oxygen (26%). The ionization energy of hydrogen is
- 13.6 eV meaning the maximum speed hydrogen can travel before becoming purely an
- electron and a proton is roughly 0.01% the speed of light and for
- oxygen we have 0.0025% so in the mean lets
- say 0.0025% the speed of light (compensating the other 20% more massive
- than hydrogen that we didn't consider).
- That means to send an atom of the human body from earth to the sun
- (150*10^9 m) we would need about 74 days. Now for the mean atom radius
- of the atoms in the human body we take oxygen (60pm), forming a straight
- line of 7*10^27 atoms of 60pm radius we have 8.4*10^17 m. The conclusion
- is it would take too long to send them.
-
- * c) consider (B) say each lattice pos. (10^-10m) of the volume of the
- human being is filled with an atom (hydrogen, oxygen, calcium, kalium) or
- no atom. How many bits do you need to describe one lattice position, how
- much of the human being (2x1x1m)? Assume each bit is encoded by a light
- pulse of a frequency of 2*10^-15s? How long would it roughly take to send
- the full information of the position of the atoms of a human being?
-
- Answer:
- Since a bit can be either a "1" or a "0" and we need to encode 6
- possible outcomes that can be in one lattice, hydrogen, oxygen,
- calcium, kalium or no atom. This can be done with 3 bits. As for the
- human body we need to map a discrete 3-d space of resolution 10^-10
- from 2x1x1m and the 6 possible outcomes indicating which atom is or is
- not in a lattice. The resolution of 10^-10 for three numbers plus 6
- outcome posibilities can be encoded in
- log_2(10^10) \simeq [35](35) bits (round up!)
diff --git a/sesh7/tex/main.pdf b/sesh7/tex/main.pdf
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