Quote:
Originally Posted by HydrogenBond
I am going to repeat myself but add a few extra considerations. Gravity is an acceleration with dimensions d/t/t. Energy is based on frequency and wavelength with dimensions d/t. The difference, dimensionally is the extra t. Since energy can't escape a blackhole, then d/t can not escape. This leaves only the extra t the ability to escape.
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Stuff and nonsense. Gravity is not an acceleration. You can have acceleration
due to gravity, but this is not the same as gravity
being acceleration.
Dimensionally, energy is not d/t, but:
md²/t².
While the energy of a photon depends on its frequency [/i]or[i] wavelength, you use either one or the other, not both. (is is just silly to say that it depends on frequency
and wavelength, because these two qualities are co-dependent)
And to relate either to energy you have to use Planck's constant which is
6.626e-34 m²kg/s which dimensionally becomes:
d²m/t
Relating energy to frequency gives us
E=hf
(h being Planck's constant)
the frequency is measured in units of 1/t
So dimensionally it becomes
E= d²m/t/t = md²/t²
which is what I gave above
Using wavelength you get
E= hc/w
(w measured as distance)
Dimensionally:
E= (d²m/t)(d/t)/d= md²/t²
which again is what I gave above. and is dimensionally consistent with any other formula for energy such as:
E= mv²/2
E=mc²
E=Fd (F is force)
E = -GMm/r (gravitational potential energy)
etc.
Science is precise, and it can't be done by mere word association as you appear to want to do.