Two contacts, one explicit assumption

A silent two-contact calculation using equal Gaussian position uncertainty and a prior favoring slow motion. No stimulus is delivered to your skin. This is not a personal sensory measurement or a full rabbit-stimulus demonstration.

Estimated separation: 3.33 cm from a physical separation of 10.00 cm (33.3% retained).

Physical and estimated contact positionsTwo pairs of positions around a fixed zero midpoint. The table gives every numerical position.
Positions around the unchanged midpoint
PositionPhysical (cm)Estimated (cm)
Left−5.000−1.667
Right5.0001.667
Midpoint0.0000.000

Estimated separation = L ÷ [1 + 2σ² ÷ (100t²)].
L is physical separation in centimetres; t is time in seconds; σ is the standard deviation of each site’s Gaussian position estimate, in centimetres. The speed-prior standard deviation stays fixed at 10 cm/s, whose square is 100.

The two sites have the same uncertainty, so the midpoint stays at zero. A longer interval reduces contraction in this model. At zero uncertainty, the estimate equals the physical separation. Unequal site uncertainty needs a different rule. These are mathematical consequences of the stated assumptions, not participant observations or an assessment of anyone’s senses.