Coherent Mathematics V7 develops a framework in which mathematical coherence is not assumed at the outset but emerges through persistent continuation. Beginning with incomplete self-continuation, the book reconstructs equality, logic, number, operators, analysis, and mathematical structure as increasingly coherent outcomes of an open recursive process.
The central principle is simple: coherence is not presupposed; coherence is what survives. Classical mathematics is therefore not rejected, but recovered as a high-coherence limit within a broader, continuation-based framework.
The book presents formal definitions, axioms, principles, derivations, conjectures, and explicit status classifications. It distinguishes established results from conditional conclusions and open research questions. Topics include continuation eigenmeasures, emergent logic and number, recursive completeness, field structures, recoherence dynamics, prime structure, Gödelian openness, and selected bridges between mathematical structure and fundamental physics.
This research edition is intended for readers interested in the foundations of mathematics, mathematical physics, emergent structures, complex systems, and alternative approaches to mathematical coherence.
