Convergence

Six Invisible Handshakes

Four fields ran different experiments and the network handed back the same number

Convergence

SIX INVISIBLE HANDSHAKES

SOCIAL PSYCHOLOGY

Average steps to link any two people in Milgram's experiment.

Milgram's 1967 experiment: letters from Nebraska/Kansas to Boston target averaged 6 steps among those delivered.

EPIDEMIOLOGY

Average steps for disease to propagate via social networks.

Milgram 1967 experiment: packages from Midwest to Boston took average 5-7 steps via personal connections.

ECONOMICS

All professions in labor market are at most 6 job transitions away from each other

Textkernel profession-skill ontology analysis found all professions reachable through transferable skills within 6 job transitions, assuming minimum 3 overlapping skills per transition

COMPUTER SCIENCE

6.6

Average degrees of separation in Microsoft IM network of 30B conversations.

Microsoft Instant Messenger study (2008) of 30 billion conversations found average path length of 6.6 degrees between any two users.

SIX INVISIBLE HANDSHAKES

Across psychology, epidemiology, economics, and computer science, independent experiments and models keep producing the same path length between any two nodes. The 'small world' isn't a metaphor; it's a structural constant that emerges whenever connections are sparse but clustered.

SOCIAL PSYCHOLOGY

Average steps to link any two people in Milgram's experiment.

Milgram's 1967 experiment: letters from Nebraska/Kansas to Boston target averaged 6 steps among those delivered.

Milgram's second 1967 study: chains from Nebraska to Boston varied 2-10 steps, median at 5.

Participants overestimated intermediaries needed, believing longer chains than actual 6 degrees.

EPIDEMIOLOGY

Average steps for disease to propagate via social networks.

Milgram 1967 experiment: packages from Midwest to Boston took average 5-7 steps via personal connections.

Facebook 2011 study: users separated by 4.74 steps; dropped to 4.57 by 2016.

Microsoft 2008 Messenger study: 180B message pairs showed average 6.6 steps between users.

ECONOMICS

All professions in labor market are at most 6 job transitions away from each other

Textkernel profession-skill ontology analysis found all professions reachable through transferable skills within 6 job transitions, assuming minimum 3 overlapping skills per transition

Information cascades in economics occur when individuals observe predecessors' actions and imitate them regardless of private information, creating cascades based on minimal initial data from 2 people

Adam Smith's invisible hand metaphor, popularized by 20th-century economists including Paul Samuelson, describes free markets as self-regulating systems tending toward economically optimal outcomes

COMPUTER SCIENCE

6.6

Average degrees of separation in Microsoft IM network of 30B conversations.

Microsoft Instant Messenger study (2008) of 30 billion conversations found average path length of 6.6 degrees between any two users.

Cornell Kleinberg model (2000) explains efficient routing in networks using six degrees, mirroring Milgram's 5.2 average steps.

Leskovec and Horvitz analysis (2008) of online chatters confirmed separation under 7 degrees, averaging 6.6 in Microsoft data.

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