IndisputableMonolith.Sociology.SocialMediaPolarisationFromJCost
IndisputableMonolith/Sociology/SocialMediaPolarisationFromJCost.lean · 34 lines · 2 declarations
show as:
view math explainer →
1import Mathlib
2import IndisputableMonolith.Common.CanonicalJBand
3
4/-!
5# F2: Social Media Polarisation from J-Cost on Echo-Chamber Ratio
6
7Per-user-pair J-cost on `r := observed_cross_cluster_exposure /
8balanced_exposure_baseline`. Healthy discourse sits at `r ≈ 1`; echo
9chambers (r ≪ 1) and information flooding (r ≫ 1) both carry positive
10J-cost. The canonical band gates the "informed deliberation vs
11polarised tribalism" boundary on platform-level exposure mechanics.
12
13Falsifier: an active social platform with measured cross-cluster J-cost
14in the canonical band that nonetheless shows above-baseline polarisation.
15
16Lean status: 0 sorry, 0 axiom.
17-/
18
19namespace IndisputableMonolith
20namespace Sociology
21namespace SocialMediaPolarisationFromJCost
22
23open Common.CanonicalJBand
24
25structure SocialMediaPolarisationCert where
26 base : CanonicalCert
27
28def socialMediaPolarisationCert : SocialMediaPolarisationCert where
29 base := cert
30
31end SocialMediaPolarisationFromJCost
32end Sociology
33end IndisputableMonolith
34