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Anant the review: my tongue is definitely inside *my own* cheek!

Two or three days for Matthew without Catherine, and Catherine without Matthew?  They'll be like springs bent to the breaking point.  But that's what you planned, isn't it, you cruel author?

Bond, James Bond.

Good points.  Yes, I've assumed that Peter as the most workable motive--gain.  But what about revenge?  Who would go this far and endanger this many people for revenge?  Of course, it's always good to have your reader fixated in the wrong direction.

Quirksome

I'm not so sure I caught one as had a few rammed into my arms.

The sidewall plays a part, but not that part.  Remember, its strength is in tension.

No.  It means you're on the verge of learning.

Think about the tire when the car is on a lift and there's no contact with the ground.  Account for all the forces.  Then let the car down to the ground at watch what happens.

Note to the people who clutch their heads and say "I can't do this!"--that's how you feel at the brink of the breakthrough.

Note also that the material of a tire is essentially a tension material.  The tread of the tire is in compression, but as a compression member it is far too short to buckle, being wider than its length (thickness) in compression.  But if you put the wall of a tire in compression along the surface of the notional membrane, the wall will buckle.  And if it didn't, the tire wouldn't work the way it does.

Finally, remember that in stasis all the forces must balance, at every point.

You missed one.

Picaboo?

Because of the physics of a gas.  One of its basic properties is that in the absence of acceleration, movement within it, etc., it distributes evenly within the enclosing volume and has everywhere the same pressure.  (Note that I stated that the differences in altitude between top and bottom of the tire are negligible beyond negligible.)

I will add at this point that the tire's construction involves a flexible but almost inelastic layer of fabric 'plies' embedded in a tough and elastic rubber, as well as a strong wire loop called the 'bead' that reinforces the tire's openings where those openings rest in the wheel.

In 413, you're probably looking at Byzantium and the Germanic world as Rome falls away from the picture.  Ideally, events in the intros, book to book, will have some continuity and some variation.