from research import *
shifts=[4232,8464,12696]
s=begin(526,'The forwarded axis joins the529 grammar','What does the existing three-axis diagram’s forwarded family share with the studied ladders?',{'forwarded_shift_magnitudes':shifts,'scope':'duration algebra only; existing source-authorized forwardings keep their own endpoint domains'},['Chronology_Three_Axis_Mirrors.png supplied schematic','C505–C507; inherited C480 controls'])
r=[{'source_shift':t,'529_coefficient':F(t,529),'first_E':E*t,'second_E':E**2*t,'translation_dilation_difference':(E-1)*t} for t in shifts]
finish(s,{'ladders':r,'operator_relation':'D_E,a T_t = T_(E*t) D_E,a','shared_middle_duration':'8464 ->9200 ->10000'},
 'The diagram’s8,16,24 multiples of529 become4600/9200/13800, then5000/10000/15000. The middle ladder shares the9200→10000 duration used by the SP rectangle and Shem partition. This connects all three schematic families at the operator level; identical durations do not identify their source nodes or license new forwardings.',
 'Use the proven interfaces to replace a merely spatial reading of the axes with a map of actual operations.',{'coefficients':[v['529_coefficient'] for v in r]==[8,16,24],'first':[v['first_E'] for v in r]==[4600,9200,13800],'second':[v['second_E'] for v in r]==[5000,10000,15000]})