How large is the local sequence space?

It is immense!

  • Suppose that the size of error class 0 is some unit length, or time duration, or mass.

  • What would be the size of the other error classes?
Length
assume unit length = 1.66 x 10-13 meters
Error
Class
SizemeterskmAU
1.5 x 108 km
light year
9.46 x 1012 km
approximate equivalent
011.7 x 10-13   170 atomic nuclei (ca. 10-15 m)
13.5 x 1045.8 x 10-9   17 bp of B DNA (3.4 x 10-10 m/bp)
26.2 x 1081.0 x 10-4   thickness of a sheet of paper
37.2 x 10121.2    
46.3 x 10161.1 x 10411  a quarter of a Marathon
54.4 x 10207.3 x 1077.3 x 104  1.8 times around Earth's equator (4.0 x 107 m)
62.6 x 10244.3 x 10114.3 x 1082.9 1.9 x the Mars-Sun distance (1.52 AU); ca. orbit of asteroid 16 Psyche
71.3 x 10282.2 x 10152.2 x 10121.4 x 1042.3 x 10-1120 times the distance to the heliopause (ca. 115 AU)
85.7 x 10319.5 x 1018  1.0 x 1034% of the distance from Earth to the center of our galaxy (2.6 x 104 ly)
92.2 x 10353.6 x 1022  3.9 x 1066% of the distance to the Virgo cluster (ca. 6 x 107 ly)
107.8 x 10381.5 x 1026  1.37 x 1010the observable universe

Time
assume unit time = 5.5 x 10-22 seconds
Error
Class
Sizesecondsminutesyearstime since the Big Bang:
015.5 x 10-22  inflation (1 x 10-35 to -33 s) over with
13.5 x 1041.9 x 10-17   
26.2 x 1083.4 x 10-13   
37.2 x 10124.0 x 10-9  electroweak symmetry broken (1 x 10-11 s)
46.3 x 10163.5 x 10-5  protons and neutrons created (1 x 10-5 s)
54.4 x 10202.4 x 10-1  electron-positron pairs annihilate (1 s)
62.6 x 10241.4 x 1032.4 x 101 nucleosynthesis (3 min)
71.3 x 10287.2 x 1061.2 x 105  
85.7 x 10313.2 x 10105.3 x 1081.0 x 103 
92.2 x 10351.2 x 10142.0 x 10123.9 x 106Photon-Matter decoupled (1 x 105 yr)
107.8 x 10384.3 x 10177.2 x 10151.37 x 1010age of the universe

Mass
assume unit mass = 3 x 1011 kg
Error
Class
Sizekgcirca:
012.6 x 1011mass of humanity
13.5 x 1049.0 x 1015small asteroid (e.g., Eros, 7 x 1015 kg)
26.2 x 1081.6 x 1020largest asteroids (Ceres, Pallas, Vesta)
37.2 x 10121.8 x 1024Earth mass (6 x 1024 kg)
46.3 x 10161.6 x 102810 Jupiter mass (2 x 1027 kg)
54.4 x 10201.1 x 103250 Solar mass (2 x 1030 kg); ca. Jeans' mass (isothermal case)
62.6 x 10246.7 x 1035giant star cluster (1 x 106 to 1 x 107 Solar mass)
71.3 x 10283.3 x 1039central mass of quasar (1 x 108 to 1 x 109 Solar mass)
85.7 x 10311.5 x 104375 Milky Way mass (2 x 1041 kg); a galaxy cluster
92.2 x 10355.7 x 1046 
107.8 x 10382.0 x 1050luminous matter in the observable Universe (1 x 1076 to 1 x 1078 protons)