ideas.md (3639B)
1 # Classical Teleportation 2 3 We are asked to discuss sending matter (A) or information (B) with respect to 4 the following questions 5 6 * a) scenario (A), decomposing a human being or a piece of matter before 7 sending, where would you stop decomposing (organ level, cell level, 8 molecule level, atom level or smaller)? Choose a level and think what 9 technical limits a decomposition and rebuilding would require roughly 10 11 Answer: 12 All in all the smaller we go the harder it is to 13 decompose, but the faster it is to send. To understand what I mean 14 consider we decompose on the organ level, then we have massive parts 15 that need to be sent from point A to point B via normal transportation, 16 i.e. bus, car or even a spaceship. The transportation method itself 17 would make the term 'teleportation' meaningless. On the other hand say 18 we decompose on the molecule level however impossible it may be. Now the human 19 body is made of roughly 80% H20 imagine we have constructed a safe vacuum 20 pipeline to send H20 particles from point A to B, with a roughly 21 estimated velocity of 0.01% of the speed of light, this would make the atom 22 level teleportation faster in terms of transportation than organ level 23 teleportation. But the issues we would face of decomposing a human body into 24 atoms and then putting it back together are immense, not to even 25 mention if we can be absolutely be certain we can compose the same 26 person again, without losing personality/memory. 27 28 * b) consider (A) and assume you want to send atoms. How long would it take 29 to transfer the atoms of a typical human being? 30 31 Answer: 32 There are approximately 7*10^27 atoms in a 70kg adult body, where 80% are 33 hydrogen (54%) and oxygen (26%). The ionization energy of hydrogen is 34 13.6 eV meaning the maximum speed hydrogen can travel before becoming purely an 35 electron and a proton is roughly 0.01% the speed of light and for 36 oxygen we have 0.0025% so in the mean lets 37 say 0.0025% the speed of light (compensating the other 20% more massive 38 than hydrogen that we didn't consider). 39 That means to send an atom of the human body from earth to the sun 40 (150*10^9 m) we would need about 74 days. Now for the mean atom radius 41 of the atoms in the human body we take oxygen (60pm), forming a straight 42 line of 7*10^27 atoms of 60pm radius we have 8.4*10^17 m. The conclusion 43 is it would take too long to send them. 44 45 * c) consider (B) say each lattice pos. (10^-10m) of the volume of the 46 human being is filled with an atom (hydrogen, oxygen, calcium, kalium) or 47 no atom. How many bits do you need to describe one lattice position, how 48 much of the human being (2x1x1m)? Assume each bit is encoded by a light 49 pulse of a frequency of 2*10^-15s? How long would it roughly take to send 50 the full information of the position of the atoms of a human being? 51 52 Answer: 53 Since a bit can be either a "1" or a "0" and we need to encode 6 54 possible outcomes that can be in one lattice, hydrogen, oxygen, 55 calcium, kalium or no atom. This can be done with 3 bits. As for the 56 human body we need to map a discrete 3-d space of resolution 10^-10 57 from 2x1x1m and the 6 possible outcomes indicating which atom is or is 58 not in a lattice. The resolution of 10^-10 for three numbers plus 6 59 outcome posibilities can be encoded in 60 log_2(10^10) \simeq [35](35) bits (round up!)