When scientists apply a working principle using ansätze, more often than not they are less than 100% sure of what it is they are looking for. These educated guesses often appear in the form of a number, a function, and an equation, a set of numbers, a group of functions, or a system of simultaneous equations. Implicitly, it is always understood that these distinctive sets of solutions share certain common attributes.
The art of guesstimation had been used since human beings set foot on the face of the earth and discovered fire. After knowing that fire can burn, human beings realized that it gives warm and when cooked by flame food tasted good because bacteria and fungi are destroyed. But there being beneficial bacteria and fungi could not have been guessed before the advent of optical microscopes.
Newton’s ansatz described attraction between discrete matters. Maxwell’s described interaction among continuous substances (electric and magnetic). Einstein’s ansatz was the constancy of light speed independent of coordinate systems. Planck’s was the quantum of angular momentum. Dirac’s was the reality of antimatter. Gell-Mann’s was the existence of quarks. All these ansätze share a common idea and that is the first power of energy. Hardly anyone could have guess that there can be one more ansatz for describing the quanta of space-time as squares of energy.


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