Riemann Mechanical

Riemann’s Hypothesis in Mechanical Power delivery Consider a pulley used for lifting weights ‘mg’, where m is the mass and g acceleration due to gravity. If there are N Pulleys lifting a mass then each pulley shares the mass of 1/N of the total mass M. It can be modeled as a differential equation, mg. d2y/dx2+ T. dy/dt + c = β.x=Power Now for the equation to deliver power stably mg=T, where T is the Torque on the pulley which is Force on pulley acting tangentially x radius of the pulley. Now this principle is applied on the Power Trains of Automobiles where for maximum delivery of power, the driven gear must be half the radius of the driver gear for maximum power delivery. So the power trains of a Car must be designed in such a way that the driven gears must be ½ radius of the driver gear. The above equation again is Eliptical in nature with trivial root at ½ and non trivial roots on the ½ plane, proving Riemann Hypothesis. All other types non-elipitcal differential equations won’t deliver stable power, since the motion generated thus won’t be Simple Harmonic. Riemann Hypothesis shows us that the power delivered in systems is of the magnitude of Prime numbers. Mathew Cherian BE, MBA(Western Michigan University) 3-B Tanquil Residency Chembumukku Kochi 682021, Kerala India Email:[email protected]