People often speak on this thread as though the physics model WAS reality, rather than just an observation model of it.
They see the elegance of some of the maths and marvel at how "elegant" nature is, and its true. Some of the maths - like maxwells equations - is elegant. The problem is, it is the model that is elegant, not nature!
I marvelled once at the exactness of the proof of the permeability of free space.
As a simpleelegant formula but you need some maths and physics knowledge to calculate it!. When I got more advanced I realised. That "pretty" formula was simply built into the axioms of the model.! It was there because when we defined "field " and "permeability" it was just a consequence of our definitions. no more or less. Nothing to do with the universe. Which is why you dont need to measure ANYTHING at all, to calculate the permeability of free space.
For sure it is a valuable model - it has enabled progress (of a sort)
(for people really think atom bombs , fertilizers that kill all wild life and ozone destroying gas guzzling cars are progress - but I digress!)
I think they need to get grounded in what science really is.
And the easiest way to illustrate it, it is one of the simplest equations of all that everyone knows. Or they think they do. But they dont....
V=IR
Many people will call it ohms law, and many text books wrongly call it such.
And that is the first problem!
Actually it is not a law.
It is a definition of resistance.
So it is an "equivalence" not even an equation.
R= V/I is that defintion.
Ohms law is actually that
"for a range of materials and operating points, resistance is (reasonably constant)"
So for those materials if I double voltage, (within reason) I will see double current.
But many materials DO NOT obey ohms law, and most do not, at extremes of operating point.
So it is hardly universal.
Take our old favourite semiconductors. Or semiconductor junctions.
They dont obey ohms law.
But the resistance is still V/I ! it just isnt constant as you change V!
So everyones favourite equation is still true, even if Ohms law does not apply!
So here we have the reality of the physical model.
WE DEFINE an axiomatic quantity called resistance R=V/I
It doesnt exist in the universe , just in our heads or on paper.
WE OBSERVE for some materials over a range of operating points
Voltage is proportional to current - so resistance is constant.
Ohm was the first to document it, so it bears his name.
WE PUT ohms law into the model. It wasnt there before we put it there.
It is only true for some materials some of the time, over some operating points.
So it is JUST a model.
We can take it all a level deeper. But the principle is just the same.
We can model charge carriers too. I can make the same observations of charge carriers, and arrive at electro kinetic axioms and laws. But they too are a model.
So then we come up to our old friend an electron.
What is it? Well it depends.... Charge is a model. Who knows what it is, it describes a behaviour. Electron is a model of charge carrier. We also have models called particles and waves. And sometimes electrons behave as one, sometimes the other. Sometimes they cant seem to make up their minds. Not that they have amind.
We expect them to repel. Except when they dont. Two electrons in a box are observed more likely at one end than opposite! So where are you repulsion?
Then it gets really bizarre. Electrons whose history is written only when they are observed Easily shown with single quantum double slit experiments.
But things have a unique history dont they? Er well...no not in quantum world.
And at that point people need to get grounded again.
Why all these stupid paradoxes on observablity, causality, history , uniqueness?
Answer because it is ONLY a model.
When we say "explained " by physics we dont mean the universe explains behaviour.
We mean it is or is not in the model yet! The model either does work or not for whatever we say it "explains" or not explains as the case may be.
So we cannot take God out of the model , not because He is not the universe ,but because nobody put Him in the Model.
There is no shrinking "god of the gaps" because outside the model Nothing is explained. We only observe what it normally does. And explain just means it is modelled!
And the model models it well sometimes. But then...the cosmology model seems to not have over 90 percent of the mass. So the model is not very good in places...
So I urge all to go back to the idea, that if you are looking for "explanation" science is not the place to start. Its a model, not the real universe. It predicts what it is normally observed to do Not what it is , or why it is.
They see the elegance of some of the maths and marvel at how "elegant" nature is, and its true. Some of the maths - like maxwells equations - is elegant. The problem is, it is the model that is elegant, not nature!
I marvelled once at the exactness of the proof of the permeability of free space.
As a simpleelegant formula but you need some maths and physics knowledge to calculate it!. When I got more advanced I realised. That "pretty" formula was simply built into the axioms of the model.! It was there because when we defined "field " and "permeability" it was just a consequence of our definitions. no more or less. Nothing to do with the universe. Which is why you dont need to measure ANYTHING at all, to calculate the permeability of free space.
For sure it is a valuable model - it has enabled progress (of a sort)
(for people really think atom bombs , fertilizers that kill all wild life and ozone destroying gas guzzling cars are progress - but I digress!)
I think they need to get grounded in what science really is.
And the easiest way to illustrate it, it is one of the simplest equations of all that everyone knows. Or they think they do. But they dont....
V=IR
Many people will call it ohms law, and many text books wrongly call it such.
And that is the first problem!
Actually it is not a law.
It is a definition of resistance.
So it is an "equivalence" not even an equation.
R= V/I is that defintion.
Ohms law is actually that
"for a range of materials and operating points, resistance is (reasonably constant)"
So for those materials if I double voltage, (within reason) I will see double current.
But many materials DO NOT obey ohms law, and most do not, at extremes of operating point.
So it is hardly universal.
Take our old favourite semiconductors. Or semiconductor junctions.
They dont obey ohms law.
But the resistance is still V/I ! it just isnt constant as you change V!
So everyones favourite equation is still true, even if Ohms law does not apply!
So here we have the reality of the physical model.
WE DEFINE an axiomatic quantity called resistance R=V/I
It doesnt exist in the universe , just in our heads or on paper.
WE OBSERVE for some materials over a range of operating points
Voltage is proportional to current - so resistance is constant.
Ohm was the first to document it, so it bears his name.
WE PUT ohms law into the model. It wasnt there before we put it there.
It is only true for some materials some of the time, over some operating points.
So it is JUST a model.
We can take it all a level deeper. But the principle is just the same.
We can model charge carriers too. I can make the same observations of charge carriers, and arrive at electro kinetic axioms and laws. But they too are a model.
So then we come up to our old friend an electron.
What is it? Well it depends.... Charge is a model. Who knows what it is, it describes a behaviour. Electron is a model of charge carrier. We also have models called particles and waves. And sometimes electrons behave as one, sometimes the other. Sometimes they cant seem to make up their minds. Not that they have amind.
We expect them to repel. Except when they dont. Two electrons in a box are observed more likely at one end than opposite! So where are you repulsion?
Then it gets really bizarre. Electrons whose history is written only when they are observed Easily shown with single quantum double slit experiments.
But things have a unique history dont they? Er well...no not in quantum world.
And at that point people need to get grounded again.
Why all these stupid paradoxes on observablity, causality, history , uniqueness?
Answer because it is ONLY a model.
When we say "explained " by physics we dont mean the universe explains behaviour.
We mean it is or is not in the model yet! The model either does work or not for whatever we say it "explains" or not explains as the case may be.
So we cannot take God out of the model , not because He is not the universe ,but because nobody put Him in the Model.
There is no shrinking "god of the gaps" because outside the model Nothing is explained. We only observe what it normally does. And explain just means it is modelled!
And the model models it well sometimes. But then...the cosmology model seems to not have over 90 percent of the mass. So the model is not very good in places...
So I urge all to go back to the idea, that if you are looking for "explanation" science is not the place to start. Its a model, not the real universe. It predicts what it is normally observed to do Not what it is , or why it is.
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