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**The Heisenberg Uncertainty Principle**

It has been decades since I last sat in my Physics class – blame it on my natural sciences degree in Biology and coursework in Electrical Engineering and grad school – and the battery of statistics courses that go with it

As pointed out in http://plato.stanford.edu/entries/qt-uncertainty/

In quantum mechanics a system is supposed to be described by its quantum state, also called its state vector.

Given the state vector, one can derive probability distributions for all the physical quantities pertaining to the system such as its position, momentum, angular momentum, energy, etc.

The operational meaning of these probability distributions is that they correspond to the distribution of the values obtained for these quantities in a long series of repetitions of the measurement. More precisely, one imagines a great number of copies of the system under consideration, all prepared in the same way. On each copy the momentum, say, is measured. Generally, the outcomes of these measurements differ and a distribution of outcomes is obtained. The theoretical momentum distribution derived from the quantum state is supposed to coincide with the hypothetical distribution of outcomes obtained in an infinite series of repetitions of the momentum measurement. The same holds, mutatis mutandis, for all the other physical quantities pertaining to the system. Note that no simultaneous measurements of two or more quantities are required in defining the operational meaning of the probability distributions.

**Uncertainty relations can be considered as statements about the spreads of the probability distributions of the several physical quantities arising from the same state**. 😉

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**What has the Uncertainty Principle got to do with the above Graphs?**

I’ll cut to the chase and keep it simple.

Given a *universe *of countries in Oceania and Asia – an application of the uncertainty principle tells you that “The theoretical momentum distribution derived from the quantum state is supposed to coincide with the hypothetical distribution of outcomes obtained in an infinite series of repetitions of the momentum measurement ” –** the graphs above capture a distribution of outcomes in a time series**.

Given the state vector, **one can derive probability distributions for all the physical quantities pertaining to the system such as its position, momentum, angular momentum, energy, etc**. The operational meaning of these probability distributions is that they correspond to the distribution of the values obtained for these quantities in a long series of repetitions of the measurement. –** In the previous graphs – the physical quantities pertaining to the various “particles/quanta” (aka individual economies/countries/nations) are the KPIs – and based on these KPIs, the outcome of where the individual economy will be in a probability distribution is quite predictable.**

Connect the dots – it’s VERY simple 🙂

– Either the Philippines shapes up – or the uncertainty of its future is very certain.

wooohoo nice post!

LYING AND DECEIVING THE PUBLIC – IT’S MORE FUN IN THE PHILIPPINES – See more at: http://itsmorekulelatinthephilippines.com/lying-and-deceiving.html#sthash.NOBf0fWS.dpuf