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What is DBR?

Updated: 8/20/2019
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11y ago

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In the context of technology, DBR is probably "damaged beyond repair".

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Q: What is DBR?
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What is the equation of continuity?

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Relativity Theory accepts Maxwell's Equations as correct and raises:1. the constancy of the speed of light and2. relativity of velocityas axioms of Relativity Theory.Relativity would be better if it recognizd that Maxwell's Equations are a statement of of Quaternion Invariance of the Electromagnetic Field, B =Br(eal) + Bv(ector) = Br + Bv.0=XE = (d/dr + Del)(Br + Bv) = (dBr/dr - Del.Bv) + (dBv/dr + Del Br + DelxBv)The Other Maxwell's Equations can be derived fromsubstituting the following relationships:E=cB= zH=zcD and r=ct and dr= cdt.


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Faraday conceived the idea of Electromagnetic fields, E, B, H and D.All these fields are related by the following equation:E=cB = zH = zcDwhere q is charge, c is speed of light and z the free space impedance.The Law of Electromagnetism is the Homeostasis Equation or Boundary Equation:0=XE=(dEr/dr - Del.Ev) + (dEv/dr + DelxEv + Del.Ev R)where E=Er+ Ev and Er is the real Electric Field and Ev is the vector Electric Field and E is a quaternion field. Ris the Unite radial vector.This is a homogeneous equation but it can be made heterogeneous with r=ct, then dr=cdt and0=XE=(dBr/dt - Del.Ev) + (dBv/dt + DelxEv + Del.Ev R)This equations represent two equations a real equation and a vector equation:dBr/dt=Del.Ev and0=(dBv/dt + DelxEv + Del.Ev R)


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How does vector calculus applies to electromagnetism?

Vectors are directional numbers. Calculus determines changes. Electromagnetism involves directional fields and thus vector calculus is the tool to calculate the changes in directional fields.The training in Mathematics and Physics is deficient in that Nature involves the combination of real and vector numbers called Quaternions. Quaternions were invented by William Rowan Hamilton in 1843. Quaternions consist of a real number r and three vectors (i,j,k) such that i2 = j2 = k2 = ijk = -1.A quaternion point is p=r + ix +jy + kz= r + v where v is the vector part.Quaternion calculus has a derivative I call X for Khepra which consists of Hamilton's vector derivative called Del = id/dx + j d/dy + kd/dz and a real derivative d/dr = d/cdt .X= d/dr + Del = d/dr + id/dx + jd/dy + kd/dz = d/cdt + Del = [d/dr,Del]Using this quaternion derivative the fundamental laws of electromagnetism can be derived as th Boundary Condition, 0= XE where E is the quaternion electric field E=Er + Ev = [Er,Ev].The First Derivative of the Electric field isXE= (dEr/cdt - Del.Ev) + (dEv/cdt + DelxEv + Del Er)The Equilibrium Condition for the Electric field occurs when the the First Derivative is set to zero:0=XE= (dBr/dt - Del.Ev) + (dBv/dt + Del Er)This is the Quaternion Equilibrium Condition Equation, notice that the Curl Term DelxEv =0 and is not in the equation. The curl is zero at Equilibrium and the remaining vector terms are "Equal and Opposite"! Equilibrium requires that the sum of the reals and vectors sum to zero. The vectors cannot sum to zero unless DelxEv=0, this happens only when the other terms are parallel or anti-parallel. Equilibrium is the anti-parallel case, thus Newton's "Equal and Opposite" Rule in his 3rd law of Motion.This Equilibrium Condition is the Stationary and Invariant Condition and the Cauchy-Riemann Continutiy Condition.Maxwell's EquationsdBr/dt - Del.Ev=0dBv/dt + DelxEv=0are incorrect in including DelxEv, it should be Del Er. DelxEv is perpendicular to dBv/dt =dEv/cdt. Vector Calculus shows DelxEv is perpendicular to dEv/dr, thus the sum of orthogonal vectors is not zero unless both vectors are zero.This shows that Maxwell's Equations are incorrect and the proper Electromagnetism Equations are derived by Quaternion Calculus.