The Mathematics of Becoming: Meaning, Coherence, Wisdom, Dual Aspect, and Recursive Scale (Coherence Architecture)

How does knowledge become meaningful orientation, how does an organized system remain sufficiently itself through generation and loss, how can wisdom act under uncertainty, how may exterior and interior descriptions constrain one another, and how do patterns recur across time and scale without proving one universal mechanism?
The Mathematics of Becoming: Meaning, Coherence, Wisdom, Dual Aspect, and Recursive Scale develops a disciplined mathematical and constitutional architecture for these questions. The volume moves through semantics, value, purpose, agency, narrative, generation, loss, viability, resilience, reserve, repair, judgment, risk, precaution, stewardship, exterior and interior state spaces, interfaces, observability, hidden-state estimation, recursion, fixed points, bifurcations, fractal measures, ratios, and dynamic balance.
Aston Gustavous Farquharson keeps every claim boundary visible. Meaning is not a physical force; coherence is not perfection, immobility, or moral goodness; wisdom is not optimization; dual aspect does not establish two substances or complete the science of consciousness; recursion and cross-scale resemblance do not prove shared mechanism; and balance does not require a fifty-fifty ratio. The SDAE Spirit Field remains symbolic language for lived interior coherence, relationship, orientation, and participation rather than an established physical field.
The volume continues the human foundation of the SDAE Canon: the spiritual inheritance of parents and grandparents and decades of face-to-face work with thousands of NuSpecians and their families confronting illness, suffering, caregiving, recovery, dying, and grief. These lived realities motivate questions and moral responsibility without substituting for empirical validation.
Five source-locked figures make the argument visible: Meaning and Orientation; The Cathedral Equation; Judgment, Uncertainty, Consequence, and Repair; Exterior, Interior, and Interface State Spaces; and Recursion, Scale, Ratio, and Dynamic Balance. This fourth public volume can be read independently while permanent identifiers connect it to the wider fifteen-volume Mathematics of Becoming sequence. Reality remains the measure.