What do you get if you let a computer programmer who likes cheese & quantum physics design a random property of particles that need not have any relation to reality?
Please remember that none of this is presented as being real, & the possibility of it being real is probably very, very small. Anyway, cheesiness is a property of particles. It comes in 3 colors: red, green, & blue. The names are arbitrary - you could switch some & the theory would work the same.
Cheesiness is changed whenever multiple particles combine or 1 particle splits. It changes according to 2 rules. 2 red (or green or blue) particles merge into 1 particle of the same color (red, in this case). A red & a green particle merge into a blue particle (again, colors can be rearranged).
The fun (if it can be called that) comes when we consider, say, 1 particle becoming 2. A red particle (R from now on) decays into either RR or GB, with 50% probability of each. This is because RR & GB both result in R. In the case of 3 particles merging, RRR produces R (which is obvious), but RRG & RGB produce a random color, RGB being more random. This is because we do not know the exact order of merging.
This process could be carried on in similar vein ad infinitum, considering 4 & above, the reverses of 3 & above, & other such nonsense, but I shall leave these things to the reader if they care to try. I will continue work also, but I may not add it unless I find something really interesting.
It seems that if we split a red particle twice (yielding 4 indeterminate particles), then combine one from each of the 2 second splits, then combine that one with one of the others, then combine the remaining two, the result is 89R84G84B. Why do these numbers appear? Why instead are the probabilities not smaller integers? Here is the data I used to derive this:
_____
_/ \_
R_/ `---._/ \
\___,-' -89R84G84B
\_____/
1
R
211
RGB
RBG
422211211
RGBGRBBRG
RBGGBRBGR
RRRBBBGGG
G88844844844422422844422422844422422422211211422211211844422422422211211422211211
RRRRRRRRRGGGGGGGGGBBBBBBBBBGGGGGGGGGRRRRRRRRRBBBBBBBBBBBBBBBBBBRRRRRRRRRGGGGGGGGG
RRRRRRRRRBBBBBBBBBGGGGGGGGGGGGGGGGGGBBBBBBBBBRRRRRRRRRBBBBBBBBBGGGGGGGGGRRRRRRRRR
RGBGRBBRGRGBGRBBRGRGBGRBBRGGRBRGBBRGGRBRGBBRGGRBRGBBRGBRGRGBGRBBRGRGBGRBBRGRGBGRB
RBGGBRBGRRBGGBRBGRRBGGBRBGRGBRRBGBGRGBRRBGBGRGBRRBGBGRBGRRBGGBRBGRRBGGBRBGRRBGGBR
IBBB98B98B988889B8B899B8888
RRRRRRRRRGGGGGGGGGBBBBBBBBB
RBGBRGGRBGRBRGBBGRBGRGBRRBG
RBGGBRBGRRBGGBRBGRRBGGBRBGR
ZRRVQRVQR
RGBGRBBRG
RBGGBRBGR
The colors of particles resulting from an interaction can become entangled. In the example picture, RG becomes B. This B then becomes RG with 50% probability, otherwise BB (which can be depicted 1RG1BB showing ratios). Then, the 1G1B interacts with a B to produce a 1R1B. Finally, the 1R1B splits into 1RR1RG1GB1BB. What a mess! Anyway, if the 1R1B particle at the end is R, then the other ending particles must be either RR or GB. If the ending particle is a B, the others are RG or BB. The final particles have become entangled.
A question arises: if we can only get a given color if we know the initial conditions, how do we ever get a red, say, to start with? That is, is there some reaction for which random>[REACTION]>R? This problem, the First Red Problem, is one I have not yet solved. If anyone figures it out, please tell me.
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