All of deterministic physics is emergent behaviour from quantum physics?
Law of large numbers?
The seemingly deterministic large-scale is an emerging behaviour of the probabilistic small-scale.
The trajectory of single particles is probabilistic but the trajectory of the larger object is deterministic.
In the same that in a large crowd of people the movement of a single individual is unpredictable while the movement of the crowd as an entity is much more predictable.
In weather prediction, we can predict large scale weather patterns say over a large area but we cannot predict with much certainty whether tomorrow it will rain in Cambridge.
When observing very small amounts of data, our measurements are far more uncertain.
On the large scale things tend to be normally distributed so the emerging behaviour of the system tends to be symmetric since most small scale forces cancel to give rise to large scale equilibrium.
Does non-linear imply non-additive?
Does non-linear imply interaction effects? I.e non-marginal effects.
Marginal effects can detected by summing/integrating over all latent variables.
Law of large numbers?
The seemingly deterministic large-scale is an emerging behaviour of the probabilistic small-scale.
The trajectory of single particles is probabilistic but the trajectory of the larger object is deterministic.
In the same that in a large crowd of people the movement of a single individual is unpredictable while the movement of the crowd as an entity is much more predictable.
When observing very small amounts of data, our measurements are far more uncertain.
On the large scale things tend to be normally distributed so the emerging behaviour of the system tends to be symmetric since most small scale forces cancel to give rise to large scale equilibrium.
Does non-linear imply non-additive?
Does non-linear imply interaction effects? I.e non-marginal effects.
Marginal effects can detected by summing/integrating over all latent variables.
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