The LMTQ thing is what is known as "dimensional analysis". Basically, each quantity has an algebraic expression in terms of 'base quantities'.

One then treats units of measures as a product of base units, eg area = length², gives A = L².

For example, in the equation F = MA, we have acellaration as L/T², and M is M, so F = ML/T². Energy is F*L, which gives ML²/T². And so on.

In terms of cosmology, one typically does things like set c = 1. This makes then dimensionally, L=T. This allows the use of the old CGS Gaussian, EMU and ESU together. I call such a system Electrodynamic.

In this, one can then use base units of x^1, and x^10, where L, M, T, Q are assorted powers of x. The following table gives the SI units by the EDU powers.

- 0 m/s, J/kg, ohm, siemens, H/m, F/m
- 1, metre, second, Henry, Farad,
- 2 sq metre
- 3 cu metre
- 10 V/m, A/m, Tesla, (vectors E, H, D, B)
- 11 Volt, Ampere
- 12 Coulomb, Weber
- 13 (dipoles), A.m², C.m
- 20 density (kg/m³), pressure (Pa)
- 21 kg/m², poise
- 22 N force, 1/G, W power
- 23 kg Mass, kg.m/s (momentum), J (energy)
- 24 J.s (action), kg.m (moment of mass)
- 25 kg.m² (angular momentum)

For a given formula, you essentially ignore the numbers, and replace the SI units with the powers of some unit X, eg x22. So

F=ma becomes 22 = 23 + (-1), is dimensionally correct.

The idea behind rule 11 and rule 12, is that when one sets G (-22) to dimensionless, then one reduces the formula by powers of 11, eg

length, time (1) -> 1, charge (12) -> 1, mass (23) -> 1

With rule 12, one replaces the units above mod 12. This makes eg length, time = 1, charge (12) -> 0, and mass (23) -> -1.

A test of dimensionality, even at this basic level, should tell you if the formula is at least partially correct.

W