Why am I foolishly wading into one of these debates? Must be mad!
You should see a "qualified psychologist".
Anyway, I agree, in the example you give, both sensors will get the same amount of light.
You're off to a great start!
Unfortunately (as you hint), given the same base sensitivity, the 35mm sensor will need either four times as much light, or for the signal to be amplified by two stops, to give the same exposure on the final image.
Here's the thing -- the exposure has nothing to do with sensitivity. The sensitivity of a digital sensor is fixed. As the link in my post above states:
http://www.josephjamesphotography.com/equivalence/#iso
Unlike film, the sensitivity of the sensor is fixed. The effect of the ISO is merely to apply an analog gain to the signal that, for some sensors, is a bit more efficient than a digital push (applied either in camera or in post) and results in less noise (at the possible expense of blowing more highlights).
Interestingly, the new Sony sensor in the D7000 and K5 is about to make ISO meaningless:
If higher ISOs were not more efficient than base ISO, then there would be no point in having higher ISOs. The camera would only have base ISO, and we would simply choose the appropriate f-ratio for the DOF and/or sharpness we desire, and the appropriate shutter speed to account for motion blur and/or camera shake. The exposure meter would tell us how over/under exposed we are (less exposure means more noise, more exposure means more blown highlights), at which point the photographer could adjust the balance of the f-ratio and shutter speed with the exposure. We would then push the image digitally to whatever brightness we desired.
So, going back to your statement:
the 35mm sensor will need either four times as much light, or for the signal to be amplified by two stops, to give the same exposure on the final image.
what we see is that exposure is really quite irrelevant when comparing different formats -- what is relevant is the total light collected. In the case of comparing the same format, exposure and total light are effectively the same measure, but very different measures on different formats.
It's not unlike mass and weight -- effectively the same thing in the same acceleration field, but rather different measures in different acceleration fields.
In theory, that amplified signal will be similar, in terms of noise, to the un-amplified signal of the smaller sensor but that depends very much on which cameras you are comparing.
Indeed. In the case of the Canon 5D, the difference is
huge :
http://www.pbase.com/joemama/pushediso
In the case of the D7000 and K5, the difference is negligible, if even there at all:
http://forums.dpreview.com/forums/read.asp?forum=1022&message=37235114
In practice, I like to shoot at the cameras best sensitivity and consider increasing that (for example because I want to use a slower lens or I want to get sufficient depth of field) a major compromise.
We want to gather as much light as possible so as to have the least noise, but to do this, we must either use a longer shutter speed which puts us at greater risk for motion blur and/or camera shake, or use a wider aperture, which results in a more shallow DOF.
For equivalent photos (same perspective, framing, aperture diameter, shutter speed, and display size), all systems will have the same DOF and also gather the same amount of light (thus have the same noise for the same sensor tech).
It's the theory that lends to endless internet debates! What fun.
It does at that. However, I am perplexed by why some find the concepts so difficult to understand, and astounded when people actually argue against them.
In practice, I note successive generations of technology seem to have a larger effect than sensor size...
That's going to level off, and quickly. The Canon 5D has a QE of 25%, and the D3s has a QE of 57% (one stop better). There's only a stop more improvement to be made until we hit 100% QE (with a Bayer CFA).
However, the pixels on the K5 and D7000 have about the same FWS as the pixels on the 5D, despite only being 40% the size, and have scaled the read noise approximately with that area differential. This is what gives them their massive DR improvement.
So, another stop more to go for QE, but there's no real limit to DR if they can keep increasing the FWS.
Regardless, as always, for cameras with the same sensor tech, the noise will be the same for Equivalent photos. The larger formats will achieve an IQ advantage when they can use a longer shutter speed to gather more light (which presumes neither motion blur nor camera shake are an issue), or use a larger aperture (which presumes that a more shallow DOF is preferable, or, at least, preferable to a more noisy photo with a deeper DOF).
If you're photography does not allow for either of these situations, then the larger format is likely not the best choice.