Authors: Erman ZENG
The mathematical characterization of “the Productive Forces” of a macro economic system is based upon the analogy between political economy and Newtonian mechanics, which is expressed as the product of the growth rate of the profit rate (p) and the surplus value (M), showing several quantum qualities like a photon quanta. The one-dimensional linear harmonic oscillator model can correlate the angular frequency with the change rate of the rate of profit thus with the economic growth rate, resulting the quantum-like interpretation of various business cycles. The matrix operator analysis of the Leontief’s input-output table, similar to the matrix mechanics of quantum physics, gives the Schrodinger function like value-price transformation eigen function, with the reduced organic composite of capital as the eigenvalue of the price wave function, namely the relations of production, leading to the "two Cambridge controversy" resolved. The statistic physical entropy increase theory combined with the Marx labor value function leads to the quantitative formulation of the relations of production.
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