“PRIMES on the BIM (formerly “PTOP on the BIM”): Part IV; #29”
A simplification of BIM: Part I formed the basis of the PTOP (Periodic Table Of PRIMES, as first described in MathspeedST, 2010).
The PTOP extracts the PPsets and EVENS from the BIM and relates them to each other in a straightforward and graphical manner.
A distinct PPset “TRAIL” is seen for each PPset starting with the P1=3 and P2 = each successive number in the natural PRIMES sequence—(2),3,5,7,11,13,17,19,23,29,31,37,…
In fact, this natural PRIMES Sequence (PS) acts in every way just like a fractal, whereby a fractal set consisting of the PS is “added” —i.e. concatenated—to each successive P1 value down the Column 3 on the PTOP.
This fractal PS property ensures that there are more overlapping “TRAILS” of PPsets than PRIME Gaps, ensuring that ALL EVENS = the sum of two PRIMES. Euler’s Strong Form of the Goldbach Conjecture is proven. More importantly, a definitive relationship between PRIMES and the Inverse Square Law is defined. This joins the ISL, Primitive Pythagorean Triples and PRIMES together under the umbrella of the Inverse Square Law as presented on the BIM.
The Inverse Square Law (ISL) defines how a force, an influence — energy — becomes diluted as the distance from the source increases: 1/r^2 where r = radius.
Double the distance and the energy (influence) is diluted by 1/4.
If you’re distance, r, from a person with the virus is 1’ you are one with the person. If you’re distance, r, from a person with the virus is 2’ you are 25% with the person. If you’re distance, r, from a person with the virus is 3’ you are ~11% with the person. If you’re distance, r, from a person with the virus is 4’ you are ~6% with the person. If you’re distance, r, from a person with the virus is 5’ you are 4% with the person. If you’re distance, r, from a person with the virus is 6’ you are ~3% with the person. If you’re distance, r, from a person with the virus is 7’ you are ~2% with the person. If you’re distance, r, from a person with the virus is 8’ you are ~1.6% with the person. If you’re distance, r, from a person with the virus is 9’, you are ~1.2% with the person.If you’re distance, r, from a person with the virus is 10’ you are 1% with the person.
1^2 = 1 2^2=4 3^2=9 4^2=16 5^2=25 6^2=36 7^2=49 8^2=64 9^2=81 10^2=100
100% 25% 11.1% 6.25% 4% 2.8% 2% 1.6% 1.2% 1%
This reference describes an evenly distributed cloud, not a direct focused source.
If you are safe and then become exposed to unsafe conditions you quickly move back up, depending on the degree and length of time of your exposure.
Masks help keep you to the right. It also keeps the total # of virions to the right.
Keeping the total # down is good.