ZachHerbert
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Some of this has to be a language problem, because Jammer’s point is so simple as to not even be worth arguing over. So let me define some terms as I am using them. (And if someone wants to tell me an alternate, more appropriate term, I’m happy to use it.)
When I say Primitive, I mean a “fundamental unit of measure” - like “centimeter” and “second.” Or, more specifically, I mean class of unit. (So “centimeter” and “mile” are equally fundamental and are really just faces of the same underlying primitive: “space.”)
Now, if I ask everyone to rebuild the Standard Model without any other units at all, I’m assuming that it can’t be done. That means you get to have distance and duration, and that’s it. No charge. No spin. No color. No energy. No electron mass. No nothing. Just distance and duration. The request isn’t just impossible, it’s nonsensical.
Even if we adopted a dualistic ontology, and said that particles were little point-like lumps of "stuff" floating through a void, all we could do with units of space and time is to describe the motions of the particles. We would have kinematics, but that’s it.
If it turned out that some of the particle trajectories looked different than others after intersecting one another, we would then look for a way to explain the difference. To do that we might introduce a new categorical property, with a new primitive unit of measure – a primitive dynamical quality. (Primitive because the units cannot be reduced to seconds and centimeters. Dynamical because the units will ultimately be used to explain the behavior of the objects that "carry" the unit.) But introducing the unit itself is not enough. We also need a set of rules that govern the behavior of objects that carry the units. The two are intrinsically linked. The units don’t mean anything without the rules, and the rules don’t mean anything without the units. We can’t explain the relation between the two, because they come together by definition. We simply have to accept them as-is. And when we ask “why” a particle does this or that, all we can do to "provide an answer" is plug some numbers into that loop, and see what the rules tell us. And this in itself is plenty good enough to take a utilitarian approach to physics!
Jammer’s point is that the only way to truly integrate kinematics and dynamics is to use a mechanism that doesn’t follow this self-referential loop. And that means taking a completely different approach to the problem. Because if we try to explain one dynamical quality by invoking another, we’ll need a new set of rules, and the loop continues at a lower level. That isn’t to say that there may not be a valid reason for doing this. But it doesn’t solve the loop. It just relocates it.
Now, the reason that I brought up the information topic is that it forces us to think in a different way anyway. In an informational paradigm, the value of any dynamical qualities must be distributed over a region of spacetime – and not simply ascribed to a point. We can still treat them as categorical properties. But these properties cannot be assigned to individual events - or even drawn as an interval between two events - and so can't be considered fundamental. The relationships are more complicated than that.
Finally, the reason I suggested introducing a new non-dynamical primitive concept - a new unit of measure - is because it gives us an alternative path: a free variable that doesn't follow the same rules as the units that are intrinsically meant to "explain." Space and time can give us kinematics, but once they do, they're all used up. The units of the new dimension would provide a point of contrast to the units of space and time, and allow us to carry the model beyond simple kinematics. Now, when it comes time to re-introduced dynamics to the system - which we must if we want to "explain" anything - we can define the dynamical qualities (axiomatically) so that they break down into conglomerations of the three non-dynamical units. We get dynamics back. But the "charges" aren't fundamental.
Now, is what I’ve just suggested a viable theory of physics? Absolutely not. Without defining the details of the relations, it can’t be used in practice at all. That's why I'm in the philosophy forum. Is it an original philosophical premise that could be further developed into a potentially viable theory of physics? You bet.
When I say Primitive, I mean a “fundamental unit of measure” - like “centimeter” and “second.” Or, more specifically, I mean class of unit. (So “centimeter” and “mile” are equally fundamental and are really just faces of the same underlying primitive: “space.”)
Now, if I ask everyone to rebuild the Standard Model without any other units at all, I’m assuming that it can’t be done. That means you get to have distance and duration, and that’s it. No charge. No spin. No color. No energy. No electron mass. No nothing. Just distance and duration. The request isn’t just impossible, it’s nonsensical.
Even if we adopted a dualistic ontology, and said that particles were little point-like lumps of "stuff" floating through a void, all we could do with units of space and time is to describe the motions of the particles. We would have kinematics, but that’s it.
If it turned out that some of the particle trajectories looked different than others after intersecting one another, we would then look for a way to explain the difference. To do that we might introduce a new categorical property, with a new primitive unit of measure – a primitive dynamical quality. (Primitive because the units cannot be reduced to seconds and centimeters. Dynamical because the units will ultimately be used to explain the behavior of the objects that "carry" the unit.) But introducing the unit itself is not enough. We also need a set of rules that govern the behavior of objects that carry the units. The two are intrinsically linked. The units don’t mean anything without the rules, and the rules don’t mean anything without the units. We can’t explain the relation between the two, because they come together by definition. We simply have to accept them as-is. And when we ask “why” a particle does this or that, all we can do to "provide an answer" is plug some numbers into that loop, and see what the rules tell us. And this in itself is plenty good enough to take a utilitarian approach to physics!
Jammer’s point is that the only way to truly integrate kinematics and dynamics is to use a mechanism that doesn’t follow this self-referential loop. And that means taking a completely different approach to the problem. Because if we try to explain one dynamical quality by invoking another, we’ll need a new set of rules, and the loop continues at a lower level. That isn’t to say that there may not be a valid reason for doing this. But it doesn’t solve the loop. It just relocates it.
Now, the reason that I brought up the information topic is that it forces us to think in a different way anyway. In an informational paradigm, the value of any dynamical qualities must be distributed over a region of spacetime – and not simply ascribed to a point. We can still treat them as categorical properties. But these properties cannot be assigned to individual events - or even drawn as an interval between two events - and so can't be considered fundamental. The relationships are more complicated than that.
Finally, the reason I suggested introducing a new non-dynamical primitive concept - a new unit of measure - is because it gives us an alternative path: a free variable that doesn't follow the same rules as the units that are intrinsically meant to "explain." Space and time can give us kinematics, but once they do, they're all used up. The units of the new dimension would provide a point of contrast to the units of space and time, and allow us to carry the model beyond simple kinematics. Now, when it comes time to re-introduced dynamics to the system - which we must if we want to "explain" anything - we can define the dynamical qualities (axiomatically) so that they break down into conglomerations of the three non-dynamical units. We get dynamics back. But the "charges" aren't fundamental.
Now, is what I’ve just suggested a viable theory of physics? Absolutely not. Without defining the details of the relations, it can’t be used in practice at all. That's why I'm in the philosophy forum. Is it an original philosophical premise that could be further developed into a potentially viable theory of physics? You bet.
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