Dear Ron,
There are a number of different points to make about grip size on putters.
1. The "open hand" is a relaxed hand, and a "closed hand" holding a tool handle is not relaxed but held in place by muscle tension. Consequently, to the extent the grip of a putter requires the golfer to close the hand onto it, the grip is requiring tension. A too-small grip usually is held with a more cramped hand. A "just-right" grip size is one that calls for the right degree of closing of the hand so that the resulting usual pressure is good for you. This will vary a bit from golfer to golfer depending on a number of factors in their patterns of hand use and their devlopmental history (car mechanics versus pianists).
2. The grip size affects the degree of contact between the hand and the handle. Usually, the putter is used most effectively when the handle is held in the palm, not the fingers as in the full shot. If you simply close your hand by ftouching your fingertips to the palm and look at the palm and fingers, the fingertips form a diagonal line from the heel pad nearest the wrist (little finger) to the base of the thumb (index finger). There is a small tube of air running beneath the fingers. A putter handle ought to fill this tube with handle material without there being a lot of air left between the handle and the skin. Typically, with conventional flat-top putter grips, there is some air between the back of the grip and underside of the fingers at the first knuckle, for the normal adult male hand. It would probably be better is this air were not there, but that is debatable.
3. The grip form of the hand "potentiates" certain patterns of use of the hand (sets the hand on track to be used ceratin ways, and increases the likelihood that one of these usual uses will affect the stroke in certain ways). The most common potentiation occurs when the golfer's hand on the grip approximates the form used on screw drivers. The "precision grip" on a screw driver features very well defined thumbtip-to-side-of-index-finger pressure for precise rotational control. Sort of a turn-the-key action. This grip form promotes thumb-to-index pressure at the expense of attention and pressure to the last three fingers, which then tend to free float. This form is naturally opposed to a straight-thru-impact stroke, as it promotes pronation / supination of the hands thru the hitting area. A lighter thumb-tip pressure and more conscious attention to the same pressure evenly distribnuted throughout the hand tends to tighten up the last three fingers on the underside of the handle, lessen the "precision grip" tendency to use the handle like a screw driver of key, quietn the hands altogether, and promote a straighter stroke thru the impact area.
4. Hand tension is not separated from arm tension. Hand tension is managed by muscles and tendons in the forearm. Just squeeze your hand a few times while feeling your forearm. It is very difficult to use ONLY the muscles in your hand, leaving the muscles in the forearm unaffected. So the notion in conventional golf instruction to set a steady grip pressure in the hands is not quite accurate. The setting of the grip pressure is done in the hands and arms as a unit. I teach that the setup muscle tone needs to be uniformly the same in the hands, arms, shoulders, and perhaps even across the top of the back.
5. Tension blocks the form of movement the way a stone interferes with the flow of a stream. In a sense, isolated tension is worse than uniform tension across connected body parts. So the pattern of tension and the dgree of tension for good putting need to be explored and decided upon. My "firing solution" (as tank gunners might say) is a level of muscle tone in the hands, arms, and shoulders that is about what I would use to greet a nice lady coming into my house or business -- comfortable, genteel perhaps, but certainly not aggressive.
6. The material that the grip is made with and its thickness affects the way vibrations in the putter shaft from impact are transmitted into the hands. The vibrational frequency will be damped by any grip material. the issue is matching the vibrational frequency to a speed that is effectively sensed by the hands. The hands' pressure sensors are probably able to sense about 10 hits each second, resetting in between. Sensation depends on an area's sensors all firing in coordination to transmit a big enough signal to get noticed ("felt"). Frequencies of vibration that are high get wasted. This is a pretty under-explored area in golf science.
7. The handle gives the golfer setup feedback 1) as to the form of his aim and the readiness for the stroke; 2) as to the speed pattern of moving the handle (inertial forces) during the stroke; 3) as to the orientation of the putter during the stroke; and 4) as to vibrational feedback after impact. The flat-top grip form addresses the first and third of these. If the thumbs fit flatly onto the top of the handle, the golfer by feel knows where the putter face is aimed and can build his setup using the top surface of the handle as his guide. A blind person uses this to setup, or should, and so should a sighted golfer. During the stroke, when the handle for any reason twists independently out of where the hands would otherwise send it (from inertial forces such as abruptness in the stroke), the edges of the flat top interact with the palms and fingers, and the surface of the thumb tips experience a shearing force sideways or extra pressure to one side of the thumb tip more than the other. During the stroke, if there is abruptness in the stroke instead of a calm even tempo in the movement, the handle waggles sideways and the top of the handle presses harder against one side of the hands or the other and so does the bottom of ther handle in the opposite direction. The grip size and form ought to encourage noticing these changes, as a good stroke promotes "no changes" in the feeling of the hands on the handle. You can be as sensitive as you want to be in the hands on the putter, but your desire is to make a stroke that makes you feel "nothing" in the hands.
All that said, big hands need big handles. The objective is to get the hand to a comfort level that infuses itself up into the upper arms and that does not encourage a differential pressure between the thumb and the last three fingers and that signals the golfer when things are not the way they should be (during the stroke or afterwards in vibrational feedback). I can't really advise you personally, except to say that you should explore different grips with the above points in mind.
I hope this helps.
Cheers!
Geoff Mangum
Putting Coach and Theorist
PuttingZone
http://puttingzone.com
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