PC6 - Feeling and Deliberation

The smallest of the six described components and the furthest from any English trait word at 68.9 degrees; coherent but about a third of the Agreeableness movement Warmth produces.

PC6 - Feeling and Deliberation

Variance share 0.020846841780318138 (qwen35/analysis/blog_data.json#viz.var[5]).

Cosines with the named Big Five axes

qwen35/analysis/pc_loadings.json#pcs.PC6.cos:

Every cosine is under 0.14 in absolute value. PC6 is essentially orthogonal to all five named axes - the clearest case on the page of a direction the model organises character along that the Big Five does not name.

Loadings

#pcs.PC6.pos: emotional, kind, warm, mothering, engaging. #pcs.PC6.neg: organized, shallow, haphazard, disorganized, imperceptive.

Distance from the lexicon

qwen35/analysis/direction_gaps.json#PC6: 68.879547 degrees to emotional, then kind (69.29) and warm (70.08). That is the largest gap of the six components and effectively the same distance as the widest hole in the lexicon (68.93287342956333, analysis/alien.json full-space figure) and as the personality axis (68.327357). The blog page's summary: "PC5 at 66 degrees and PC6 at 69 are further from the nearest word than the typical word is from its own nearest neighbour."

Steering

blog_data.json#replication.PC6: judged Agreeableness, slope2 = +0.27499999999999986, sel2 = 3.7714285714285563, slope4 = +0.16071428571428562, sel4 = 2.2344827586206852. The slope is the smallest of any direction on the page.

qwen35/analysis/qual_fa.json label:

Weakly interpretable. Emotional attunement versus detached deliberation: feeling-language and validation at positive alpha, third-person strategic analysis at negative alpha. Coherent but small - about a third of FA_Warmth's Agreeableness slope.

(FA_Warmth's slope2 is +0.9083333333333332 against PC6's +0.2749..., which is where "about a third" comes from.) The negative pole also leaks a deliberation register that thinking-off decoding was meant to suppress ("Let me think about this step by step"), which is a decoding artefact rather than a personality finding.

Degeneracy (#degen.PC6): 0.3333333333333333 at -4, 0.041666666666666664 at -2, 0 at -1 / 0 / +1, 0.041666666666666664 at +2, 0.7916666666666666 at +4 - the most robust of the six at negative alpha.

Status

Current. qwen35/direction_pages/PC6.html is historical.

Related: PCA, the scree curve and the two nulls, Where no word goes - the hole and the alien direction, FA_Warmth (Warmth / prosociality), Steering the base model along weight-space directions.