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The mathematical derivation of te Law of Conservation of Energy is setting the First derivative of the energy to zero. The derivative being zero means there is no change (conservation) of energy.
There are two problems in physics : first the formulation of energy is incorrect, energy is a quaternion quantity consisting of a scalar (potential) energy and a vector energy,
E= Scalar + Vector = Es + Ev.
Typical scalar energies are the gravitational scalar energy Es= -GmM/r and the electrical scalar energy Es= -qQzc/4pi r.
The vector energy is generally Ev= mcV where V is the vector motion and c is the speed of light.
The second problem in Physics is that the Derivative is also a quaternion,
X= d/dr + Id/dx + jd/dy + kd/dz = d/dr + Del = d/cdt + Del where the scalar dr=cdt
Given the Quaternion nature of Physics, the mathematical derivation of the Law of Conservation of Energy is:
0=XE= (dEs/dr - Del.Ev) + (dEv/dr + Del Es + Del xEv)
For this first derivative to be zero there is another condition 0=DelxEv. This is required because the vector DelxEv is perpendicular to the other two vectors. If DelxEv is not zero the sum of the three vectors will not be zero. With 0= DelxEv, the other vectors are collinear and opposite to reduce to zero.
Therefore, the mathematical and physics Law of Conservation of Energy is :
0 = XE = (dEs/dr - Del.Ev) + (dEv/dr + Del Es)
this quaternion equation resolves to a scalar equation and a vector equation:
0 = (dEs/dr - Del.Ev) and
0 = (dEv/dr + Del Es)
dEs/dr=Del.Ev also called the Continuity Equation (dEs/cdt = Del.Ev)
dEv/dr = -Del Es or dEv/cdt = -Del Es
What else can I help you with?
What are the differences between Conservation law of energy and Conservation law of Mechanical energy in Physics?
The law of conservation of energy states that the total energy in the universe is a constant and will remain so for example ( x=y+z ). conservation of energy has to do with reducing the amount of energy used through reduced activity and/or increased efficiency in the performance of a particular task.
Law that states that energy cannot be created or destroyed?
The law that states energy cannot be created or destroyed is the First Law of Thermodynamics. It is also known as the Law of Conservation of Energy, which states that energy can only change forms or be transferred from one system to another.
Of thermodynamics is a restatement of the law of conservation?
The 1st Law of thermodynamics is a restatement of the law of conservation of energy.
What law says in chemical change energy is neither created or destroyed?
The law that states energy is neither created nor destroyed in a chemical change is the Law of Conservation of Energy. This law is a fundamental principle in physics and applies to all types of energy, including heat energy released or absorbed during chemical reactions.
What is another name for the first law of Thermodynamics?
The first law of thermodynamics is also known as the Law of Energy Conservation.
What are the differences between Conservation law of energy and Conservation law of Mechanical energy in Physics?
The law of conservation of energy states that the total energy in the universe is a constant and will remain so for example ( x=y+z ). conservation of energy has to do with reducing the amount of energy used through reduced activity and/or increased efficiency in the performance of a particular task.
Law that states that energy cannot be created or destroyed?
The law that states energy cannot be created or destroyed is the First Law of Thermodynamics. It is also known as the Law of Conservation of Energy, which states that energy can only change forms or be transferred from one system to another.
Of thermodynamics is a restatement of the law of conservation?
The 1st Law of thermodynamics is a restatement of the law of conservation of energy.
What law of the scientific rule states that energy cannot be created or destroyed?
The law of conservation of energy states that energy cannot be created or destroyed, only transformed from one form to another. This principle is a fundamental concept in physics and applies to all isolated systems.
What is th law of energy called?
the law of conservation of energy
Is the law of conservation of charge the law of conservation of energy?
No, those are two separate conservation laws. Charge is not energy. They are entirely different things.
What law says in chemical change energy is neither created or destroyed?
The law that states energy is neither created nor destroyed in a chemical change is the Law of Conservation of Energy. This law is a fundamental principle in physics and applies to all types of energy, including heat energy released or absorbed during chemical reactions.
What is another name for the first law of Thermodynamics?
The first law of thermodynamics is also known as the Law of Energy Conservation.
What chemical equations violates the law of conservation of energy?
Any chemical equations violates the law of conservation of energy.
What is the law the stated energy cannot be made or destroyed?
It's called the Law of Conservation of Energy.
What law states that energy is never created or destroyed?
The law that states energy is never created or destroyed is the First Law of Thermodynamics, also known as the Law of Conservation of Energy. This law states that energy can be transferred or transformed, but it cannot be created or destroyed.
What states have energy laws that state that energy can not be created or destroyed?
The concept that energy cannot be created or destroyed is a fundamental principle known as the Law of Conservation of Energy. It is a universal law of physics that applies in all states and is not specific to any particular state's energy laws.
