Science and Education Publishing
International Journal of Physics
2333-4886
2
6
2014
11
23
Carl Sagan's Conjecture of a Message in π
264
266
EN
Arne
Bergstrom
B&E Scientific Ltd, Seaford BN25 4PA, United Kingdom
IJP2014269
10.12691/ijp-2-6-9
2014
11
04
2014
11
17
2014
11
23
In his novel Contact, the astrophysicist Carl Sagan hypothesized an alien message to be buried somewhere deep inside the numerical representation of the transcendental number . The present article looks for markers that might possibly support such a hypothesis, and surprisingly finds a sequence of seven successive zeros (actually seven successive nines rounded off) at a depth of 3256 digits into the representation of 2 in the special case of base ten. Finding such a sequence of zeros within the first 1000 digits has a probability of 1 in 10000. No such occurrences happen even remotely for 2 at any base other than ten, nor even remotely in corresponding representations of other common transcendental numbers, such as e, which appear in physical applications. In , this occurrence thus also remarkably appears at a depth that is a multiple of the same power of two as bits in a computer byte, which thus makes it even more enigmatic. Still, these effects are most probably just numerical coincidences without physical relevance.