<?xml version="1.0" encoding="UTF-8"?>
<records>
<record>
<language>eng</language>
<publisher>Science and Education Publishing</publisher>
<journalTitle>International Journal of Physics</journalTitle>
<eissn>2333-4886</eissn>
<publicationDate>2014-11-23</publicationDate>
<volume>2</volume>
<issue>6</issue>
<startPage>264</startPage>
<endPage>266</endPage>
<doi>10.12691/ijp-2-6-9</doi>
<publisherRecordId>IJP2014269</publisherRecordId>
<documentType>article</documentType>
<title language="eng">Carl Sagan's Conjecture of a Message in π</title>
<authors>
<author>
<name>Arne Bergstrom</name>
<email>arne.bergstrom@physics.org</email>
<affiliationId>1</affiliationId>
</author>
</authors>
<affiliationsList>
<affiliationName affiliationId="1">B&amp;E Scientific Ltd, Seaford BN25 4PA, United Kingdom</affiliationName>

</affiliationsList>
<abstract language="eng">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.</abstract>
<fullTextUrl format="pdf">http://pubs.sciepub.com/ijp/2/6/9/ijp-2-6-9.pdf</fullTextUrl>
<keywords language="eng"><keyword>transcendental number pi</keyword>
<keyword>integer bases</keyword>
<keyword>markers</keyword>
<keyword>anthropic occurrence</keyword>
</keywords>
</record>
</records>
