This paper develops the foundations of Gradient Economics: the claim that economic systems aresystems that process valuation differentials in a semantic medium. The primitive object is not a globalexpectation field but a local differential structure, represented by a valuation 1-form 𝜔 on an admissibleeconomic network. A global expectation potential Ψ exists only in the holonomy-consistent case, that is,only when local valuation transport is path-independent on all closed cycles. This local-to-global bridgemakes trust foundational rather than appendical: crisis can be defined as the failure of local valuations toassemble into a globally coherent tradable field.From this starting point, the paper derives five non-optional operators by irreducible pathology classes:Boundary, Gradient, Conductivity, Hold, and Fold. Boundary is the condition of local economic order;Gradient is the condition of motion; Conductivity is the condition of transmissible flow; Hold is thecondition of adaptation rather than immediate discharge; Fold is the condition of transformation ratherthan ossification. Reflexivity is not a sixth operator but a constitutive property of the semantic mediumitself.The paper then shows how money, credit, price, trade, and innovation can be read as gradientphenomena; formulates local and global transport laws; recovers equilibrium as a limiting regime; andsituates the companion manuscript Non-Equilibrium Economics as the first effective theory within thelarger program. In that companion, Hold-Capacity is the first operator to cross the threshold from conceptto measurement. The present paper therefore does not compete with the companion empirical work; itexplains why that work had to take the form it did.
Jonas Jakob Gebendorfer (Wed,) studied this question.