Dimensional Balancing

Dimensional balancing is an extension of dimensional analysis. In dimensional balancing the dimensional profile on the right-hand side of the equation is always equal to the dimensional profile on the left-hand side of the equation. The notation used in dimensional balancing is as follows;

each entity is assigned a dimensional power,
- $D_{\;Physical\;Concept}^{Dimensional\;Exponent/Power}$

all equation the dimensional power of the left hand side of the equation must equal the dimensional power of the right hand side

For example, based on the below table energy has a dimension of three which is equal to mass of dimension three times speed of light squared which has a dimensions of zero or 3 = 3 + (0*2). The left hand side of the equation must equal the right hand side of the equation.

Energy = kg * $c^{2}$

$D_{E}^{3}$ = $D_{kg}^{3}$ * $D_{c}^{0*2}$

Unit	Dimension	Einstein Units
kg = mass	$D_{kg}^{3}$	${\frac {c}{AB}}$
E = energy	$D_{E}^{3}$	${\frac {c^{3}}{AB}}$
F = force	$D_{F}^{2}$	${\frac {c^{2}}{B}}$
c = speed of light	$D_{c}^{0}$	c
m = distance	$D_{m}^{1}$	${\frac {c}{A}}$
s = time	$D_{s}^{1}$	${\frac {1}{A}}$
h = Planck Constant	$D_{h}^{4}$	${\frac {c^{3}}{A^{2}B}}$
Q = charge	$D_{Q}^{2}$	${\frac {c^{2}}{AB^{0.5}}}$
A = 1/time	$D_{A}^{-1}$	$A$
B = m/kg	$D_{B}^{-2}$	$B$
Electric Field ${\mathbf {E} }$	${\frac {D_{F}^{2}}{D_{q}^{2}}}=D_{\mathbf {E} }^{0}$	${\frac {A}{\pm B^{0.5}}}$
Magnetic Field ${\mathbf {B} }$	${\frac {D_{F}^{2}}{D_{q}^{2}\;D_{\mathbf {v} }^{0}}}=D_{\mathbf {B} }^{0}$	${\frac {A}{\pm cB^{0.5}}}$
Gravitational Field ${\mathbf {g} }$	${\frac {D_{F}^{2}}{D_{m}^{3}}}=D_{\mathbf {g} }^{-1}$	$Ac$