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"the [science fiction] writer should be able to convince the reader (and himself) that the wonders he is describing really can come true...and that gets tricky when you take a good, hard look at the world around you."
- Frederik Pohl

Drop Shaft (Neutralization of Inertia)  
  An 'elevator shaft' in which the user can fall at the speed of gravity, then be stopped without inertia (i.e., instantly).  

Cadets in formation descend the full ninety stories of Wentworth Hall using an unusual elevator. Just the shaft of the elevator is used - and a device to neutralize inertia.

In perfect alignment and cadence the little column marched down the hall. In their path yawned the shaft - a vertical pit some twenty feet square extending from Main floor to roof of the hall; more than a thousand feet of sheer air, cleared of all traffic by flaring red lights...

Dropping with a velocity of over two thousand feet per second though they were at the instant of impact, yet those five husky bodies came from full speed to an instantaneous, shockless, effortless halt at contact, for the drop had been made under complete neutralization of inertia - 'free' in space parlance.

From Galactic Patrol, by E.E. 'Doc' Smith.
Published by Street and Smith in 1937
Additional resources -

Inertia is a difficult property of matter to get around. As Isaac Newton wrote "The vis insita, or innate force of matter is a power of resisting, by which every body as much as in it lies, continues in its present state, whether it be of rest, or of moving uniformly forwards in a right line."

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Additional resources:
  More Ideas and Technology from Galactic Patrol
  More Ideas and Technology by E.E. 'Doc' Smith
  Tech news articles related to Galactic Patrol
  Tech news articles related to works by E.E. 'Doc' Smith

Drop Shaft (Neutralization of Inertia)-related news articles:
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