TurboPhaser wrote:
Does that in fact prove large warheads for PhoTorps? That a proximity detonation can destroy the Enterprise?
It depends

What I consider "large" might be different than your own idea of the same which, I would guess is at least into the high MT-range, correct?
Anyway, I did some figures on proximity explosions awhile back, particularly those in "Q Who?"
As I recall, the Borg cube was between 5-10 kilometers "behind" the
Enterprise-D. This is a pretty good estimate, but someone could refine it somewhat I guess *shrugs*. (In the end, for a no. of reasons it doesn't make that much of a difference.)
Anyway, I don't gotta tell you, that means that when the E-D shoots at the cube, those explosions would be 5-10 km away.
From directly aft, the E-D would have a frontal area of no more than ~65,000 square meters; take the width of the saucer, and multiply that by the ship's height to approximate a "box."
The hard part is deciding what amount of energy, delivered through similar means of course, is actually lethal to the ship itself.
Canon leaves us with no such accounts. We know that a 400 GW Husnock weapon, which probably involved some kind of phaser-like NDF effects, did some thermal damage to the hull; and to boot, it was a more highly focused attack than a bomb striking some 65,000 m^2.
Therefore, ~200 gigajoules isn't enough to destroy the
Enterprise-D under normal circumstances.
We also know that a quarter kiloton Romulan mine blew a nice chunk out of the NX-01 in "Minefield." If 40% of that mine's ordinance struck the ship, that'd be 418 gigajoules. The E-D is far larger than the NX and presumably more durable, even if it
does require all sorts of SIFs to sustain itself in warp flight, sublight maneuvers, and so on.
While, subjectively, I seriously doubt that amount of energy would likely blow up the E-D, we have to step back for a minute and remember that Data didn't specify how the photorps
would destroy the ship. Those two giant warp nacelles, which we know are horrifically vulnerable ("Cause and Effect"), would have to be factored into the equation.
That's significantly different than just blowing up a bomb on a hull, which is unrealistic anyway: in Trek, most starships aren't at ALL just a sheath of armor flying through space; they're replete with all KINDS of design weaknesses, from windows to warp core injectors w/out redundant back-up systems, nacelles, etc., etc.
And it's different than the Husnock attack, wherein similar thermal damage to the fwd. hull might be lethal to a warp nacelle (if focused).
As such, our starting figure is admittedly VERY rough, but we're just spitballing here. If only for consistency's sake, I will say that the results are, IMO, MUCH closer to a realistic result than if you arbitrarily decided the E-D's unshielded hull could survive a nuke of X yield at point-blank distance.
Anyway, all we have to figure out is, at 5 km distance, how big must a photorp's blast be to strike a 65,000 m^2 frontal area with ~400 GJ?
I come up with about a 462 kiloton torpedo.
If the cube was 10 km behind the E-D, a photorp would have to yield 1.85 megatons.
I won't even mention the fact that they were shooting 3 torpedoes in rapid succession...Data did say, "
a photon detonation" as I recall.
Now, you could probably generate larger numbers than this and still be partly right, inasmuch as it's probably unlikely that 6.4 MJ/m^2 would even be
fatal to warp nacelles.
HOWEVER, before someone just arbitrarily plugs in bigger values, it's PARAMOUNT (no pun intended) that you understand two things:
1--Data
said the explosion might destroy the E-D. He could be wrong and, indeed, it seems rather odd that a
proximity detonation would blow up the ship when we've seen multiple DIRECT HITS fail to do the same...Data might've been extremely conservative in his assessment.
2--Data didn't specify the manner in which the E-D would be destroyed. Obviously, the implication was that an explosion "that close" would tear them a new one, but how? Is it going to smash the ship's entire hull? (No.) Might it simply be the straw that broke the camel's back; i.e., initiates a chain-reaction which will make the warp core explode, as it invariably does? Would it do something nasty to the warp coils in the nacelles, or other sensitive equipment?
IOW, it's important to not simply assume, as I did for the argument's sake, that "destruction" MUST mean one of several things, especially as the numbers go higher and higher.
3--These figures are consistent with others, if actually a bit
high for most cases. When we repeatedly see photorps in the kiloton range or, at BEST, very low single-digit megaton range, what are we to conclude? We go with the bulk of the evidence...something that's rather easy since the evidently abberant examples involve things
other than DET.