I believe that the answer is same for all these questions -the pulsating wave
Although in the static 2 dimensional form this is nothing but a superimposition ( interference) of the sine and cosine functions of a particular variable .But move it to the 3dimensional this is the
shape of our universe,in the virtual - the shape of history,biology and politics.
The universe is pear shaped according to Mr. Stephen Hawking....and that lays the ground for extension of the universe into further pulsations unknown to man today.
The human population is becoming more intelligent as the generations evolve , that is an accepted fact. But every thinker and philosophical source from the New testament to H.G. Wells in his book "The time machine" talk about the world coming to an end or the restarting of evolution from scratch. The "morlocks" thousands of years from today, could not, according to wells match the intelligence of their ancestors of a thousand years before. Similarly, if Hindu mythology is to be believed then the weapons used by Lord Rama or anyone of the innumerable warriors of the Mahabharat are a distant dream for the best engineers of the modern era.
Look at the Renaissance that followed the dark ages in Italy,Portugal and Germany. But the period following the renaissance was the industrial revolutio that changed the paradigm of thought and again converted Europe into a mass of dirty cities, smoke billowing factories and harried laborers. So economics and social status of the people followed the pulsating wave.
The colonialisation era seems to be a tale of the unsatisfied hunger of the developed nations for newer lands and better resources.But look closer and you see a pattern emerging - The countries that colonized first waned in power and were replaced by new ones....so the total extent of colonialization activity followed a pulsating wave - India was free when the US was a colony and the Chinese occupation occured as the same was waning in India.
So....in short...everything from the sound nodes to the political strategies of England to the imagination of Mr. Wells regarding the intelligence of mankind and finally the universe follows the pulsating wave. Another feather in the cap of the "Golden Ratio" theorists.....
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