Fundamental Force Control VS Mass Replication

[wumpus]

6 hours ago, kerbiloid said:

Still insisting that the managed physics is not a thing.

The physics is basically an applied mathematics.

Why bother with the physical constants when we can change the math ones.

Why is "e" that ugly 2.718... ?
Who needs "pi" to be that odd 3.14159.. ?

Let's make both of them 3.

Just imagine the world where the exponent and the circle both are based on 3?

It's much more handy!

So if e^i*pi=-1,

log_i(3)=-1/9

what would be i in this world?  Certainly not root(-1).

[K^2]

5 hours ago, sevenperforce said:

If it was possible to construct a magnet with a discontinuous field, then building an overbalanced wheel would be trivial.

Making discontinuous anything is impossible. So I don't see why you are assuming otherwise with the control of fundamental constants.

5 hours ago, wumpus said:

what would be i in this world?  Certainly not root(-1).

log3(-1)/3 = ln(-1)/(3 ln(3)) = root(-1) pi / (3 ln(3)). Not a very useful choice of units, honestly. Still get actual irrational pi in it.

Edited September 21, 2020 by K^2

[sevenperforce]

2 minutes ago, K^2 said:

Making discontinuous anything is impossible. So I don't see why you are assuming otherwise with the control of fundamental constants.

That's the whole problem with controlling fundamental constants. It has to be a local effect or you break the universe.

Spoiler

If you can screw around with fundamental constants locally, then you simply make curvature of the distortion field arbitrarily great.

[kerbiloid]

The constant fundamentalism of the fundamental constants is just a voluntary admission of self-powerlessness in their explanation.

P.S.
While pi and e are just two arithmetical sequential limits and can't be changed, in the case if somebody doesn't know.

P.P.S.
What is "choco" in the math sense of the word, idk.

Spoiler

Probably, something related to the stacks.

Edited September 21, 2020 by kerbiloid

[sevenperforce]

4 minutes ago, kerbiloid said:

The constant fundamentalism of the fundamental constants is just a voluntary admission of self-powerlessness in their explanation.

P.S.
While pi and e are just two arithmetical sequential limits and can't be changed, in the case if somebody doesn't know.

e cannot be changed but π could be different in a non-Euclidean universe.

Of course if you define π as "the ratio of a circle to its circumference in Euclidean space" then that's unchangeable, although only tautologically.

[kerbiloid]

20 minutes ago, sevenperforce said:

Of course if you define π as "the ratio of a circle to its circumference in Euclidean space" then that's unchangeable, although only tautologically.

https://en.wikipedia.org/wiki/Leibniz_formula_for_π

https://en.wikipedia.org/wiki/E_(mathematical_constant)

And here we are coming to the golden section and its significance in our life.

Upd.
https://en.wikipedia.org/wiki/List_of_formulae_involving_π

So, I'm afraid, we're living in the only world possible, where the arithmetics matches the geometry.

Others are just

Spoiler

 

Edited September 21, 2020 by kerbiloid

[K^2]

5 hours ago, sevenperforce said:

If you can screw around with fundamental constants locally, then you simply make curvature of the distortion field arbitrarily great.

You can make changes in magnetic field arbitrarily abrupt as well. Just not infinitely. The whole point is that it has to remain differentiable or you do break absolutely everything. If fundamental constants are not continuous, then their derivative is undefined in at least the points of discontinuity, and then we have quantities not defined along the discontinuity. It's identical to use of every other field. In fact, the moment you start tuning them locally, they are a field. There will be symmetries, and conservation laws, and associated bosonic fields creating new fundamental forces. There will be all kinds of new physics. It just can't violate conservation laws due to space-time symmetries (energy, momentum) and thermodynamics.

And the reason thermodynamics keeps working is exactly the same as with every other field you could use to mess with kinematics. So long as change isn't truly discontinuous, there is a gradient. And so long as there is a gradient, there will be some sort of a compensating force. The only way to break it is to either have discontinuity, creating region of space where physics is undefined, or breaking either temporal or spatial symmetry leading to energy and momentum to no longer be conserved quantities.

[wumpus]

21 hours ago, sevenperforce said:

e cannot be changed but π could be different in a non-Euclidean universe.

Of course if you define π as "the ratio of a circle to its circumference in Euclidean space" then that's unchangeable, although only tautologically.

And if you check the orbit of Mercury you will notice that we are in a non-Euclidean universe.  Of course if you are being literal about your Euclidean-ness, you might want to rename the term "geometry" (Earth measurement).  It is trivial to project a triangle on a sphere (or oblate spheroid) with angles adding up to 270 degrees.

The other issue is that pi is tied to radians and is deeply connected to math, especially anything involving waves or frequencies.  Don't try doing a Fourier Transform with a pi defined any other way.

[sevenperforce]

18 minutes ago, wumpus said:

The other issue is that pi is tied to radians and is deeply connected to math, especially anything involving waves or frequencies.  Don't try doing a Fourier Transform with a pi defined any other way.

Spoiler