Sad to read you deny original sin.
As for the issue of "how" the sin of Adam is propagated to all his progeny, as you know there are two schools of thought, traducianism and creationism. Choose one.
AMR
Yes, and I'd have to say Traducianism (mediate creation of souls) is the closest, and would probably label myself a Neo-Traducianist. Creation was finished (according to linearity of time) in Genesis 2:1. Souls being imediately created at conception or birth is untenable (and certainly presents issues for Original Sin), though mediate creation of souls is a varied topic (paternity/maternity/both, etc,).
But this is propagation of souls. I was more interested in you outlining exactly how a somethinglessness (hamartia) is passed from generation to generation as a subset topic particularly.
Scripture points to spiritual death being inherited, which would be the foundational mediate spiration of the human spirit with no interactive communion with God. This would inevitably result in sin, as God's standard of righteousness could not be inwardly communed, resulting in the missing share/part that is hamartia, for which the wages is physical death.
I see no scriptural precedent for sin being inherited. Death was inherited.
In Adam all DIED. Sin entered the cosmos and death by sin, and DEATH passed upon all men. The sting of DEATH is sin, not vice versa.
Augustine's (yak and argh) Original Sin doctrine is wholly predicated upon Psalm 51:5 and its misapplication to read into other less explicit references.
And I am even more vehemently anti-Pelagian, so all standard arguments to impugn me personally are nullified.
Conceived in spiritual death, man can neither escape sin's inevitability nor effect his own salvation.
There's no sin imputed where there is no law, and law requires competency before it can be distributed for imputation of sin.
You seem to always want to just post blurbs without actually engaging in meaningful apologetics, instead quoting statements of faith.
I wouldn't be asking if I didn't want a mature representation of Original Sin to examine and discuss.
Too many are blaming Adam for THEIR sin; and then there are the mad MADists who deny their sin in various manners, and don't know the difference between singular/plural and articular/anarthrous sin as a NOUN, contrasted with the verb as doing and its resulting NOUN as done.
You seem to want to ignore and assert, including with fallacious opera ad intra internal filiation and spiration in the other thread.
If you don't want to discuss these things in some depth, just tell me and I'll desist. I have no duplicitous motives.