• 252nd book of science// The units of mathematics and physics consolidat

    From Archimedes Plutonium@21:1/5 to All on Wed Aug 9 23:48:19 2023
    252nd book of science// The units of mathematics and physics consolidated// physics research by Archimedes Plutonium

    This book has become difficult for me in that writing it up almost finished, it was not logically coherent. Is the book about 3 and the importance of 3, or as I found in the last chapters, the book is more focused on a unification of Units of Math with
    Units of Physics.

    If we look at units in physics such as this list:


    electric current = i = A

    Angular momentum L = kg*m^2/s

    Magnetic Field = kg /A*s^2

    Voltage = kg*m^2 /A*s^3

    velocity or speed = m/s

    acceleration = m/s^2

    angular momentum = kg*m^2/s

    frequency = 1/s

    Force = kg*m/s^2

    Pressure = kg / m*s^2

    Energy = kg*m^2 / s^2

    Power, or radiant flux = Energy times frequency, = kg*m^2 / s^3

    Quantity of Electricity, Coulomb = C = A*s ( not the silly daffy + or - charge but a wire of monopoles)

    Inertia = ML^2

    Energy = Force x distance = work = ML^2T^-2

    Kinetic Energy = 1/2 mv^2 = 1/2 ML^2T^-2

    Force = current x mass x acceleration = ma = MLT^-2

    Action = energy*time or it is momentum*length

    velocity = LT^-1

    acceleration = LT^-2

    energy EM = ML^2T^-2

    Entropy = ML^2T^-2
    force = MLT^-2

    frequency = T^-1

    linear momentum EM = MLT^-1

    linear momentum = MLT^-1

    action = ML^2T^-1

    Pressure = ML^-1T^-2

    Power = ML^2T^-3

    Entropy = ML^2T^-2

    Magnetic Field = kg /A*s^2 = kg /C*s

    Current = C = A*s = wire ( not the silly daffy + or - charge, but an actual wire of monopoles)

    Voltage = kg*m^2 /A*s^3 = kg*m^2 /C*s^2

    Pressure = kg/m*s^2
    energy EM = ML^2T^-2

    Entropy = ML^2T^-2
    force = MLT^-2

    Pressure = kg / m*s^2

    Energy = kg*m^2 / s^2

    Force = kg*m/s^2

    Power = kg*m^2/s^3

    Resistance = kg*m^2 /A^2*s^3 = kg*m^2 /C *A*s^2

    Capacitance = A^2*s^4/ kg*m^2

    velocity or speed = m/s

    acceleration = m/s^2

    angular momentum L = kg m^2/(A)s

    frequency = 1/s

    Force = kg*m/s^2

    Pressure = kg / m*s^2

    Energy = kg*m^2 / s^2

    Power, or radiant flux = Energy times frequency, = kg*m^2 / s^3

    Quantity of Electricity, current, Coulomb = C = A*s

    Voltage is the (a) Electric Potential, the (b) Potential Difference and (c) Electromotive Force and all of which has the Units of W/A = kg*m^2/A*s^3

    Capacitance = farad = C/V = A^2*s^4 / kg*m^2

    Electrical Resistance = ohm = kg*m^2 /A^2*s^3

    Conductance = A/V = A^2*s^3 / kg*m^2

    Magnetic Flux = V*s = kg*m^2 /A*s^2

    Magnetic Field = tesla = kg /A*s^2

    Electric Field is E = kg*m^2/ A*s^2 = kg*m^2/ C*s

    Resistance = kg*m^2/A^2*s^3

    Inductance = kg*m^2 /A^2*s^2

    velocity = LT^-1

    acceleration = LT^-2

    energy EM = ML^2T^-2

    energy = ML^2T^-2

    action = ML^2 T^-1

    force = MLT^-2

    frequency = T^-1

    linear momentum = MLT^-1

    Angular momentum = ML^2T^-1

    Force = MLT^-2

    Energy = ML^2T^-2

    Pressure = ML^-1T^-2

    Power = ML^2T^-3

    Entropy = ML^2T^-2


    Angular momentum L = kg*m^2/s

    Action = kg*m^2/s where angular momentum = action = electric field

    Current = A where the A represents Ampere

    Quantity of Current = C = A*s where the C represents Coulomb

    Magnetic Field B = kg/ C*s

    Electric Field is E = kg*m^2/ A*s^2 = kg*m^2/ C*s

    Voltage = C*B*E = kg*m^2 /A*s^3 = kg*m^2 /C*s^2

    Conductance = A/V = A^2*s^3 / kg*m^2

    Capacitance = farad = C/V = A^2*s^4 / kg*m^2

    If we look at that list, we do see some exponent 3, but rarely, and there is even a exponent 4 in capacitance.

    But here is a theme I want to discuss. The derivative of calculus in math is 2 dimensional of a x-axis and y-axis where the integral is area under function graph curve. And when you take the integral, you raise the exponent to a higher power. So if the
    function is in 2D and raising it in integral we are in 3D.

    If we are in 2D with the function graph and taking the derivative, we lower the exponent by 1 (polynomial power rule of calculus).

    For example, we have a function graph of speed meters/second. The derivative is acceleration of meters/seconds^2 and if we include a mass we have force. The integral with respect to meters is meters^2/sec a angular momentum. Taking the derivative of
    meters^2/second with respect to seconds is meters^2/seconds^2 which is Energy if we include mass.

    So what are the units of Mathematics if the above is a list of units in Physics. That Physics list of units is basically Mass and Meters and Time, the common familiar MKS physics units of meters, kilograms, seconds.

    Now math also has units but they never admitted to that fact. In Math, the units are the 3 variables of the x-axis, the y-axis and the z-axis.

    So in physics, the units are MKS and in math the units are xyz axes. In fact this is what we do when we take speed as being x axis of time and y axis as distance length, the dy/dx of a function graph, its slope at a point on the graph.

    Now in the above physics units listed there appears to be some parameters that are not MKS such as Ampere A or C Coulomb, and even some units have a T temperature. But all those can be reduced to MKS.

    And so, what is the link-up here of the number 3 with the units of math or units of physics? The link-up is that we need just 3 such units in both math and in physics.

    And it is important that the graph is 2D, which when integrated becomes 3D, and that dimension of Space ends at 3D. So the Calculus of mathematics is going to determine what are meaningful units.

    AP

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