how to put our scientific ideas into a mathematical model?

Question

i mean how albert einstein,stephen hawking were able to put some ideas and prove the idea using mathematics.what is the secret behind it

Answer 1

First find the formula by deriving the things out of the past equations. Then when you have a formula, substitute your constants to the variables you make, just like the discovery of pi
they got 3.1416 by measuring the circumference of a circle ( as in manually by measuring string ) then dividing it by its diameter, andd how erathostenes measured the earth, using the distance from alexandria to ( I dont' know) which forms an angle in a specified date, dividing 360 degrees ( sphere ) by the angle then multiplying the quotient to the distance, but its hard to do now, almost all possible formulas are taken already

Answer 2

It is important to realise that mathematics doesn't prove anything about a scientific theory. This is because the mathematical model will have been developed using assumptions about the real situation. Mathematics can then make predictions, and if these are verified it suggests that it is a good model and that the assumptions may be correct. If the predictions do not turn out to be true it doesn't prove that the mathematics is wrong (although it could be) but that the assumptions were at least partly invalid.

I was once told off by a lecturer in Physics. I had said that in the 19th century they thought something was X but we now know that it is Y. He said that in science you must never say 'we know that . . .', but must say 'current understanding is that . . .' Future scientists may discover something that changes our opinion.

Pure mathematics is the only subject where you can be right or wrong with absolute certainty. That's what I like about it.

Answer 3

" when you consider that each and every thing in the universe is mathematically calculable," Fail precise there, this is not any longer. in spite of each and all of the supercomputers in the international we can't compute the trajectory of Comet ISON it is coming near us. it is going to be inspired by utilising the gravity of the planets because it approaches the sunlight and the completed consequence of this could't be calculated at this point. it is in simple terms one comet that isn't mathematically calculable. There are billions of alternative factors of the universe that are no longer mathematically calculable because of the fact chaos is an crucial area of the universe. you're additionally forgetting Heisenberg's uncertainty concept. you are able to no longer concurrently be responsive to the placement and velocity of an merchandise. you are able to calculate one or the different yet no longer the two on the comparable time. further. This has no longer something to do with the existence of quarks. Chaos concept argues that for small differences in the preliminary connditions, great differences in outcomes could be predicted and the diversities could be in many diverse instructions. arithmetic is used very plenty in climate forecasting and over the years, the accuracy of forecasts has better dramatically yet there is not any longer a hundred% accuracy for each element on the exterior of the earth. A forecaster can inform you that there will be thunderstyorms the following day and that the thunderstorm is possibly to be extreme. the following day the forecast will inform you that the extreme thunderstorms are going to be in a definite district and that tornadoes are possibly. No forecast will ever inform you that a tornado is going to hit your homestead in 2 hours time. this is not any longer achieveable to be that precise. this is not any longer a question of no longer information this is a question of no longer being waiting to get adequate information and stick to each and all of the variables in adequate time to be waiting to make the forecast. we are in a position to calculate the trajectory of many gadgets in the image voltaic gadget yet no longer all of them and this is not any longer because of the fact we don't have the mathematical potential to realize this. this is because of the fact chaos reigns and there is uncertainty.