Christopher,
Your information about how inserting a dowel into your antenna changes its charactaristics (even if only slightly) could be an important clue..
Unless the dowel was somehow ferrous, or had some ferrous content, or was otherwise highly conductive, we are left with two "likely" possibilities - moisture or dry dielectric influence.. Both are effectively likely to influence the capacitive coupling of the most distant section of the spring from the players hand -
The effect of the dowel (as far as I can imagine) will be either to reduce the dielectric constant, or to increase it (moisture causing reduction, otherwise I suspect that wood will have a higher dielectric constant than air, so therefore increase it).
The drawing below shows a possible arrangement which may emulate some of the mechanism (and I am working on the hypothesis that the mechanism is geometry not inductance) by which your antenna operates..
This may be a completely stupid idea, but I float it anyway..
This is a 'plan' view of a multi-part antenna (viewed from the top, all antennas are connected to the oscillator)
If we ignore the C antennas first, we have the frontal (main) antenna with diameter "A", and we have two "B" antennas with diameter A/2. The effective capacitive 'plate' area (facing the vertical plane) of A is the same as the combined 'plate' areas of both 'B' antennas.
The distance between the horizontal planes on which the A and B antennas are placed correspond (from an analysis perspective) to the diameter of your spring - the major difference between your spring and this extreme simplification is that the rear antennas are offset on the horizontal plane and therefore any similarity in operation will only apply when the hand is directly (vertically) aligned with the A antenna.. For this reason the B antennas need to be as close on the vertical planes as possible without being obstructed by the A antenna.. Moving these antennas further apart will decrease the directional nature, but move away from equivalence to the spiral geometry of the spring.
Adding more antennas (C) and perhaps mathematically calculating optimum geometries, one may be able to create a linear antenna array suitable for operation at frequencies different to 900kHz - IF the geometric hypothesis is correct.
The "geometric hypothesis" may be complete BS. Sorry, but it kind of bends my brain at the moment - The idea is that, as the hand approaches the A antenna, there will be (assuming only A and B antenna) the capacitive coupling from hand to A, and lesser coupling from hand to B..
If "vertical" distance between A and B were 5cm, and the hand was 35cm from the A antenna, the total coupling would be the capacitance of the hand to the A antennas diameter for a distance of 35cm, + the coupling of the hand to the A antennas diameter (B+B=A) for a distance of 40cm, This ratio will change as the hand is moved on the vertical axis, and I think possibly implement a linearizing function which could possibly be improved with careful (computed) antenna placements.
The spiral, however, is the most elegant way of achieving the above - as it has no directional component - I would like to experiment with the antenna "array" idea just to verify the hypothesis - If this hypothesis turns out to be valid, then it should be a lot easier to work out how the spring (spiral) operates, and compute spiral dimensions for optimum linearity for all frequency / capacitance requirements.. It may be that an oval or other shaped spiral antenna would be optimum.
Fred.
I just want to re-state that the above is an EXTREMELY CRUDE "replication" of the geometry of the spiral antenna - only the spiral antenna's front face and back 'face' are 'replicated' - and even these are extremely crude replications not taking into account the curvature of the faces.