Fractals: Infinite Perimeters & Plank Scale

  • Thread starter Thread starter freerangequark
  • Start date Start date
  • Tags Tags
    Fractals Infinite
AI Thread Summary
Fractals are mathematical constructs characterized by self-similarity and can theoretically possess infinite perimeters. However, in the physical world, actual fractals cannot exhibit infinite lengths due to limitations imposed by the Planck scale, which represents the smallest measurable length where quantum effects become significant. The discussion highlights the distinction between mathematical ideals and physical realizations, noting that true fractals do not exist in nature. The Planck length is defined using fundamental constants, indicating a boundary where classical physics transitions to quantum mechanics. Ultimately, while fractals can have infinite perimeters mathematically, physical constraints prevent their realization in the real world.
freerangequark
Messages
16
Reaction score
0
Are the perimiters of fractals infinite? Or does Plank scale prohibit that?

Thanks,
FRQ
 
Physics news on Phys.org
You are confusing physics and mathematics. Fractals are mathematical objects, so there is no problem with having infinite length perimeters. If you tried to realize it physically, there is a limit on length.
 
I am interested to know what is meant by Plank scale and whether the perimeters of fractals are infinite.

Please define fractals for me.
 
The boundary of fractals are infinite.

The Planck length is thought to be the length scale at which quantum gravity is apparent.

True fractals do not seem to be found in the physical world, therefore they have no simple connection with quantum gravity or the Planck scale.
 
I found this formula definition of the Planck length for you:


where,
h-bar = Plank's constant

G = Gravitational constant

C = Speed of light in vacuo
 

Attachments

  • planck.png
    planck.png
    1.3 KB · Views: 490
Last edited:
Thread 'Is there a white hole inside every black hole?'

Thread 'Is there a white hole inside every black hole?'

This is what I am thinking. How much feasible is it? There is a white hole inside every black hole The white hole spits mass/energy out continuously The mass/energy that is spit out of a white hole drops back into it eventually. This is because of extreme space time curvature around the white hole Ironically this extreme space time curvature of the space around a white hole is caused by the huge mass/energy packed in the white hole Because of continuously spitting mass/energy which keeps...
View full post »

Similar threads

I MOND from galaxies that are fractal
Replies
10
Views
2K
I Expressing any given point on plane with one unique number
Replies
4
Views
2K
Fractal geometry in crumpled paper
Replies
1
Views
3K
I Is Spacetime infinite dimensional?
Replies
9
Views
2K
Is fractal nature dependent on the number of steps?
Replies
6
Views
2K
I Scale Factors: Is a 10x Bigger Earth Possible?
Replies
3
Views
1K
I Degrees of Freedom in Lagrangian Mechanics for a Fractal Path
Replies
2
Views
1K
How Are Fractals Related to Chaos?
Replies
11
Views
7K
B What is the Area of a Sierpinski Triangle?
Replies
7
Views
5K
Is the Universe a Fractal Structure Revealing Infinite Scales?
Replies
5
Views
6K

Hot Threads

Recent Insights

Back
Top