“a derivative of this physical law applies in the geopolitical arena, namely the application of force is most effective when it is delivered quickly in large numbers on a focused area of the battlefield or some other center of gravity (command center, communications hub, logistic hub, transportation hub, energy supply, food supply, choke point, high ground, political center, et al).”
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I see a problem with your strategy. What if there is no “center of gravity”? Also, your definition of “center of gravity” is vague, and makes it sound like there are multiple “centers to gravity”. I want to know exactly what you mean by the metaphor.
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I see another problem. There are scenarios where the application of force is more effective when it is done in small numbers, or unfocused, or done later rather then now. Such as assasinations, large numbers could botch the attempt. To what particular problems does your theory apply.
“1) ancap society is averse to the concentration of power in one location or within one PDA since it increases the likelihood of the emergence of absolutism. Unless the ancap rejects Acton’s notion that ‘power corrupts and absolute power corrupts absolutely’'”
Strawman, what ancap is adverse to is not the concentration of power in one PDA, but the use of coercion, for example, to prevent another PDA from forming, or forcing people to stay within that PDA. Concentration of power is perfectly compatible with ancap, as long as the power was obtained through noncoercive means, and the people in power do not utilize coercion. Also, Lord Action was speaking in terms of political power of the government, not necessarily of power in an ancap society.
“2) all these being equal, an alliance of disparate ancap PDA’s would be at a disadvantage trying coordinate strikes on an adversary that possessed a unified command,”
Actually, they would be at an advantage. Assuming your theory is correct, that force would be most effective if quickly and effeciently concentrated at the center, the ancap organizations would have every incentive to cooperate, mobilize a force in great numbers and quickly, and cooperitively attack the weak point of any aggressor. i should point out that your strategy does not seem to state that a force is at a disadvantage if there are multiple organizations, where did you get the theory. Even if consumers would be better served by one PDA, the possibility of customers refusing service will prompt the PDA to improve its tactics.
"3) moreover, an ancap alliance of PDA’s would be at a disadvantage trying to move these disparate entities in a timely manner relative to a unified adversary due to obvious shortcomings in communications which is critical on the battlefield or other contested centers of gravity. "
Why doesn’t a state have these shortcomings? or one PdA?
“while it may be advantageous and productive for most industries to have a decentralized organization and structure covering a large population within a diverse geographic area – in the defense arena, large concentrated forces under a unified command represent the most effective organizational structure to gain and hold power.”
But PDAs can choose to concentrate their forces under a unified command if they choose to. Or cooperatively pay for a unified command.