I think in terms of the Hamiltonian (away from the classic Legrangian 1/2m.v2) actually as first posted the γm0c2 is very much more appropriate so thank you. Thence the conserved quantity H= v.p - L = γm0c2 = E; so E = γm0c2 becomes the kinetic term in the Lagrangian (Precision Cosmology). Am...
ok if not a lever how about a wavelength so e.g.
1 light year = 9.461e+15 m (look a bit like any other numbers you've seen recently?)
f = C/ λ
f = 3.16871851e-8
T = 31558499.0467 / 3600
= 8766.249725 / 24
= 365 days
E = mc2 : kg.m2/s2 ≡ kg.m.m/s2 ≡ kg.m.a ≡ m.N ≡ Nm ≡ j as requ'd
Thence,
Distance x F = m.C2
Distance x Acceleration = C2
For a rest mass likely only Force acting is due to Gravity so:
Distance x 9.81 = C2
Distance = 9.161e+15 meters
Can you do the above or is the reasoning non valid and...