Physics 101 … I hope
If you look at a normal Benchrest rifle, the common type, you will notice 3 things.
1. The forend width is governed (3 ½” wide from memory?) and generally they are very thin, very flat and very slippy.
The thinness allows low center of gravity, the closer you can get the underside of the forend to the bore line the more stability due to center of gravity balance/mass, the wide forend creates a larger surface area spreading the weight of the rifle over a greater area.
I.e. The rifle is more stable and less subject to the twisting torsion of the projectile spinning through the barrel. Increased surface area reduces friction and the flat bottom allows smooth tracking.
2. Almost an absence of any sort of pistol grip .. most top benchresters shoot without even grasping the pistol grip as it can, under recoil, cause an imbalance to the rifle.
The idea is to get to a point where the rifle is just recoiling in a straight line backwards with no human resistance.
I.e. Free recoil removes, to some degree, the human resistance under recoil.
3. Almost no cheek piece or rise. This again is to limit and restrict the amount of human contact on the rifle itself, every bit of contact has the ability to produce uneven results as shot to shot consistency can be compromised.
A true Benchrest gun is shot in a way that is almost, but not quite, self supported with only the trigger finger making any contact. If they were allowed they would stand back and press a remote button to fire the round off.
A Long range Bench gun is a little different, it normally shoots something with more kick than a 6mmPPC and as such requires more weight a deeper an sometimes wider forend to keep the rifle stable and under ‘recoil’ control. This is why tracker stocks were developed.
The general rule of thumb with Benchrest guns is this .. the deeper the forend the wider it has to be. I cant remember what the formula is, but its basically an angular line drawn from the center of bore, so a thin forend (say 25mm) may only need 31/2” of width where a thick forend (say 50mm) may need 4” or 5” of width.
I’ll see if I can dig the diagram up from my resource files.
Bipods
A bipod has its stability a long way from the bore center and has other issues that can affect consistent shot to shot results. These include unlevel ground forcing you to cant the rifle over .. this changes the stability affect as the distance from the plumb point of the bore is now different on the left and right sides in relation the feet of the bipod.
(extreme case)
Also under recoil any lumps, bumps or changing dynamic of the ground has a direct input into how the rifle behaves shot to shot. This is why someone invented the bipod with the sliding feet … it helps to alleviates this possibility.
A pedestal or Benchrest does not have these issues as it is independent from the rifle and is leveled once and stays this way for the entire round. This allows it to stay in one place without having to move it. .. i.e. Consistency.
How many times has a bipod shooter been forced to alter their position due to recoil now putting the feet of the bipod in a different place on the mound?
Happens to me all the time.
Also … As with Lynn, no animals were hurt in writing this … and, if some one disagrees with what I have written .. go for it.

MBRC F-Class standard ... and proud of it!