[yor_on]

And the definition of a constant should be that it conserve its qualities, no matter where you measure or observe it.

[yor_on]

Constants are figures we get too, dimensionless figures.

[yor_on]

But not really, 'c' needs a dimension, a geometry.

[yor_on]

and time

[yor_on]

" What does it mean to speak of dimensionless physical constants?  Dimensionlessness (to coin a word, perhaps) means that the physical constant is a pure number having no units attached and having a numerical value that is independent of whatever system of units or measurement may be used. Perhaps the best-known example of a dimensionless physical constant is the fine-structure constant, α, which has an approximate value of ​1⁄137.036. "

and the fine-structure constant? https://www.forbes.com/sites/startswithabang/2019/05/25/ask-ethan-what-is-the-fine-structure-constant-and-why-does-it-matter/

[yor_on]

If we take two equivalent rooms, each one in a geodesic, one inside a strongly 'curved space' and let them examine 'c' they must get to the same speed of light as I think of it. Are the scales we define them to then equivalent too?

In what way?

[yor_on]

http://www.einstein-online.info/spotlights/changing_places.html

[yor_on]

If you read that through, it's about scales too. Would the 'space' inside this 'cylinder' be able to become infinite from the reference frame of a local observer inside it.

[yor_on]

And what would that mean?

A 'universe' as ours? Or just a straight path through a 'curved nothing'?

[yor_on]

Weird ideas, and even weirder questions :)
I'll come back to this.

[yor_on]

Let's take 'c' again. I said it needed dimensions. Like three plus one to exist. But then we have scales as in curved spaces, LorentzFitzGerald contractions and time dilation's, still it keep spitting out the same number.

[yor_on]

Would that make it 'dimension less'?
I don't think so myself.

[yor_on]

But I'm not sure.

[yor_on]

It's about what makes this universe 'tick', and what you think is a 'origin' of it. The Big Bang? Dimension less constants? 'c'?

[yor_on]

And also a question of how it can exist. A lot of people find relativity to question their core beliefs in how things should work.

[yor_on]

'c' is a type example of something we once measured and took for granted as 'this is the way it works'. But if you start to treat it as also being a equivalence to a local clock you moved away from the original definition.  And if you add what I call scales to it, it becomes even weirder.

[yor_on]

I will blame this on Sascha :)
And I will probably come back to it too.

[yor_on]

A scale can also be defined as a dimension less magnitude, of f.ex all real numbers. But when I think of it I think of it inside 'dimensions' aka a geometry.

[yor_on]

After all, we see a geometry around us so it's only natural to go out from it.

[yor_on]

QM does it too although they then refer to it as decoherence. You might be able to define that as scaling of a magnitude instead of scaling inside a geometry though.