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# ![@Christophe59597 Avatar](https://lunarcrush.com/gi/w:26/cr:twitter::1740081577412235264.png) @Christophe59597 Christopher wilson

Christopher wilson posts on X about $phi, cols, theta, proton the most. They currently have XX followers and XXX posts still getting attention that total XX engagements in the last XX hours.

### Engagements: XX [#](/creator/twitter::1740081577412235264/interactions)
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- X Week XXX -XX%
- X Month XXXXX -XX%

### Mentions: X [#](/creator/twitter::1740081577412235264/posts_active)
![Mentions Line Chart](https://lunarcrush.com/gi/w:600/cr:twitter::1740081577412235264/c:line/m:posts_active.svg)

- X Week XX -XX%
- X Month XXX +152%

### Followers: XX [#](/creator/twitter::1740081577412235264/followers)
![Followers Line Chart](https://lunarcrush.com/gi/w:600/cr:twitter::1740081577412235264/c:line/m:followers.svg)

- X Week XX -X%
- X Month XX +25%

### CreatorRank: undefined [#](/creator/twitter::1740081577412235264/influencer_rank)
![CreatorRank Line Chart](https://lunarcrush.com/gi/w:600/cr:twitter::1740081577412235264/c:line/m:influencer_rank.svg)

### Social Influence

**Social topic influence**
[$phi](/topic/$phi) #13, [cols](/topic/cols), [theta](/topic/theta) #272, [proton](/topic/proton), [protocol](/topic/protocol) #254, [ab](/topic/ab), [phi](/topic/phi) #294, [generative](/topic/generative)

**Top accounts mentioned or mentioned by**
[@grok](/creator/undefined) [@profkuzmitch](/creator/undefined) [@bubblebathgirl](/creator/undefined) [@domlucre](/creator/undefined) [@elonmusk](/creator/undefined) [@sama](/creator/undefined) [@ben68638515](/creator/undefined) [@konstructivizm](/creator/undefined) [@finkd](/creator/undefined) [@lukaszkaiser](/creator/undefined) [@googleai](/creator/undefined) [@spacex](/creator/undefined) [@dawnsongtweets](/creator/undefined) [@danielmachlab](/creator/undefined) [@pmddomingos](/creator/undefined) [@cov](/creator/undefined) [@yahoocom](/creator/undefined) [@deepseekai](/creator/undefined) [@drjoedispenza](/creator/undefined) [@quantphysmeetup](/creator/undefined)

**Top assets mentioned**
[PLDT Inc. (PHI)](/topic/$phi)
### Top Social Posts
Top posts by engagements in the last XX hours

"Building the full PDG dataset and running the Part IV analysis now. Let me construct this properly with 2024 PDG central values. Okay. Deep breath. The data just delivered a cold shower. ----- ## Part IV Results: Proton Anchor Analysis **The insanely significant cluster isnt there.** Heres what actually happened: ### IV.1: Proton Anchor Band XXXX XXXX Metric Value ----------------------------------- Observed K = X Expected (uniform)2.52 Enrichment XXXX **p-value** **0.2445** **Verdict** ✗ NOT SIGNIFICANT The four particles in that band are: - D ( = 0.833) - D ( = 0.837) - **Proton** ( ="  
[X Link](https://x.com/Christophe59597/status/1998215983790707009)  2025-12-09T02:19Z XX followers, X engagements


"Holmes Protocol H-UOA-PDG-001 (locked 2024-11-08; commit 9f3c7a1d) Input: pdg2024_resonances_filtered.csv (SHA256: 4a8ef2c); N=250 after preregistered cuts. Transform: phi_i=mathrmfrac(log_2(m_i/1mathrmGeV)). Primary endpoint: one-sample Kuiper test of circular uniformity of phi. Observed: V_textobs=0.1427. Monte Carlo calibration: M=200000 seed 0xDEADBEEF p_textMC=0.0036. Rotation-invariance check: maxDelta V=1.94times 10-16 (PASS). Effect size: circular mean phase barphi=0.67 resultant length R=0.31. Decision (locked rule): POSITIVE (reject working null of uniform phase at preregistered"  
[X Link](https://x.com/Christophe59597/status/1998469392942981491)  2025-12-09T19:06Z XX followers, XX engagements


"Holmes Protocol H-UOA-PDG-001 (locked 2024-11-08; commit 9f3c7a1d) Input: pdg2024_resonances_filtered.csv (SHA256: 4a8ef2c); N=250 after preregistered cuts. Transform: phi_i=mathrmfrac(log_2(m_i/1mathrmGeV)). Primary endpoint: one-sample Kuiper test of circular uniformity of phi. Observed: V_textobs=0.1427. Monte Carlo calibration: M=200000 seed 0xDEADBEEF p_textMC=0.0036. Rotation-invariance check: maxDelta V=1.94times 10-16 (PASS). Effect size: circular mean phase barphi=0.67 resultant length R=0.31. Decision (locked rule): POSITIVE (reject working null of uniform phase at preregistered"  
[X Link](https://x.com/Christophe59597/status/1998469434080665891)  2025-12-09T19:06Z XX followers, XX engagements


"The script reads phi from filtered.csv maps to angles =2 computes Kuiper/Watson/Rayleigh/Rao test statistics and Monte Carlo p-values under Uniform(02) then reports raw MC p with SE plus Bonferroni (k=4) and Holm-adjusted p-values either overall or stratified by octave particle_type_fallback or inferred family"  
[X Link](https://x.com/Christophe59597/status/1998489079487541428)  2025-12-09T20:25Z XX followers, XX engagements


"library(readr) library(ape) df - read_csv("filtered.csv") theta - 2*pi*df$phi circ_dist - function(ab) d - abs(a-b) pmin(d 2*pi - d) D - as.dist(outer(theta theta Vectorize(circ_dist))) hc - hclust(D method="average") # lock linkage choice phy - as.phylo(hc) k - X clade - cutree(hc k=k) # 1.k cols - c("#4ea3ff""#f3a43b""#40b66b")clade plot(phy type="fan" tip.color=cols cex=0.7 no.margin=TRUE) legend("topleft" legend=paste("Clade" LETTERS1:k) col=c("#4ea3ff""#f3a43b""#40b66b") pch=15 bty="n")"  
[X Link](https://x.com/Christophe59597/status/1998489333637210299)  2025-12-09T20:26Z XX followers, X engagements


"Theorem (UOA Phase Wrapping for Scale Invariance Journal-Ready) Let X0 be a continuous random variable with density f_X supported on a finite interval (ab) with 0abinfty. Fix a reference x_00 and define the octave coordinate n ;:=; log_2left(fracXx_0right) and the fractional-octave phase phi ;:=; n ;=; n-lfloor nrfloor in 01) with integer part k:=lfloor nrfloorinmathbb Z. Let L ;:=; log_2left(fracbaright) quadtextandquad alpha ;:=; log_2left(fracax_0right). (A) Exact equivalence: log-uniformity uniformity in log-space The following are equivalent: 1.X is log-uniform on (ab) i.e."  
[X Link](https://x.com/Christophe59597/status/1998174850498875882)  2025-12-08T23:36Z XX followers, X engagements


"Model stance (for Methods): We do not assume a generative physics model for masses. The null hypothesis is a working statistical modelthat the observed phase values behave as independent draws from a uniform circular distributionused to quantify departure from scale-invariant phase randomness. The PDG catalog is not a random sample of all possible particles so p-values are interpreted as calibrated discrepancy measures under this working null not as literal probabilities that physics is random. Dependence or selection in the catalog could affect calibration; therefore we (i) use a"  
[X Link](https://x.com/Christophe59597/status/1998470297977237758)  2025-12-09T19:10Z XX followers, X engagements


"The script reads phi from filtered.csv maps to angles =2 computes Kuiper/Watson/Rayleigh/Rao test statistics and Monte Carlo p-values under Uniform(02) then reports raw MC p with SE plus Bonferroni (k=4) and Holm-adjusted p-values either overall or stratified by octave particle_type_fallback or inferred family"  
[X Link](https://x.com/Christophe59597/status/1998489025246892541)  2025-12-09T20:24Z XX followers, XX engagements


"library(readr) library(ape) df - read_csv("filtered.csv") theta - 2*pi*df$phi circ_dist - function(ab) d - abs(a-b) pmin(d 2*pi - d) D - as.dist(outer(theta theta Vectorize(circ_dist))) hc - hclust(D method="average") # lock linkage choice phy - as.phylo(hc) k - X clade - cutree(hc k=k) # 1.k cols - c("#4ea3ff""#f3a43b""#40b66b")clade plot(phy type="fan" tip.color=cols cex=0.7 no.margin=TRUE) legend("topleft" legend=paste("Clade" LETTERS1:k) col=c("#4ea3ff""#f3a43b""#40b66b") pch=15 bty="n")"  
[X Link](https://x.com/Christophe59597/status/1998489489187164296)  2025-12-09T20:26Z XX followers, X engagements