Maths , universe , and uncertainity !?

Question

Can every phenomenon of the universe be concluded through complex math equasions , as done by theoretical physicists in the case of ( matter, energy,origin of the universe, dark matter etc), in that case how does physics deal with the concept of freewil (as the laws of physics are uniform throught the universe , it also should govern freewil).In that case how are we different from nonliving matter, is everything determined, if no, what other aspects that govern the laws of the universe.

Answer 1

You are asking about what is known as determinism.



Determinism states "Given the exact position and velocity of every sub-atomic particle in the universe, I'll tell you the origin and fate of the universe".



Heisenberg's uncertainty principle pretty much lays this to rest.



"It is not possible to know the exact position AND velocity of an electron, since measuring one changes the other".



First of all not all the phenomena in the universe are solved by complex equations - some are extremely simple, kinetic energy = (1/2) mv^2, E = mc^2, F = ma... see nothing complicated about them, others of course are extremely complicated, like the Einstein's field equations of general relativity. The equations are as simple or complex as they need to be to explain what they're describing.



As for free will - who says we're different from non-living things? Distinguishing between living and non-living is a question for biologists not physicists. A man chooses to jump off a building, a physicist isn't going to get wrapped up in the socioeconomic-psychological factors that caused this person to want to end his life. Physics asks simple questions from which it can give extremely precise non-subjective answers, for instance:



When is he going to hit the ground?

How hard is he going to hit the ground?

How fast is he going when he hits the ground?



This is in fact a very good analogue for your question, you see before he jumps he has "free will" to choose to jump or not to jump, the second he jumps off the building, he no longer has free will and his fate is passed from the psychologist to the physicist.



Physics doesn't pretend to answer everything about the universe - especially not issues like how are you feeling (leave that to the psychologists) or is there a God (leave that to the theologians and philosophers). What physics does do (and do very well) is comment on that which can be measured and reduce tons of measurements into elegant equations that explain how things are.

Answer 2

"Can every phenomenon of the universe be concluded through complex math equasions..."



No. Sounds like determinism. Study chaos theory and you will understand why this won't work even if you know all of the laws of the universe. Every number you can write is an estimate of a real quantity when you are dealing with a continuous variable. No ruler is exactly one meter long except for the one we use as the primary standard. Many iterated systems are sensitive to initial conditions. Forecasts you make with such systems eventually break due to microscopic errors in the initial conditions.



A simple example. You attempt to balance a sharpened pencil on flat surface by standing it on its point. It is theoretically possible. All you have to do is make the angle between the center of mass of the pencil and the surface of the table exactly 90 degrees. But you can't do it in real life. No matter how accurately you can set the angle there is always some error. This error creates a small torque about the balancing point which causes the center of mass to rotate towards the surface you are balancing it on. The motion of the pencil due to this torque leads to more torque and the pencil ends up flat on the table.

Answer 3

The cosmological regular used to be Einstein's label for an detail that gave the impression to be there, however which he could not comprehend. It made matters paintings on paper. He later defined it as a big mistake. But it now turns out that what we name "darkish vigour", that's our label for what explanations the universe's growth to accelerate over very enormous distances, truthfully suits the invoice. He could have been proper within the first location.