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1 answer
141 views

Interpretation and validity of modified Heisenberg uncertainty principle in a metric context? [closed]

Considering the Heisenberg uncertainty principle, which states $\Delta x \cdot \Delta p \geq h$, I've explored a modified version by computing $(\Delta x + 1)(\Delta p + 1) \geq \Delta x \cdot \Delta ...
mathoverflowUser's user avatar
1 vote
1 answer
213 views

Qualitative values between two electrons in an atom or how to interpret these values?

This question is a little bit trying to understand physics through geometry of simplex: Let $E_{i,j}$ be the ionization energy in times the number of hydrogen ionization energy for an element with ...
mathoverflowUser's user avatar
1 vote
0 answers
142 views

A question about Roger Penrose's spin networks and mathematical formalization?

Let $a,b,c$ be "units" in the spin network. Then there are there are the following three requirements to fulfill (according to the relevant Wikipedia entry): $a,b,c \in \mathbb{N}$ Triangle ...
mathoverflowUser's user avatar
3 votes
1 answer
212 views

Monotile that tiles when you apply a rubber band

My (non-mathematician) friend asked me a physics/tilings question that maybe someone here is interested in dissecting, or can point to the literature if this problem has been studied. Does there ...
Ville Salo's user avatar
  • 6,652
0 votes
0 answers
127 views

Geometric interpretation of table with permutations and inversions

Let $T(n,k)$ is the number of permutations of numbers $1, ..., n$ and each of the permutations has $k$ inversions. We can consider a table for $T(n,k)$ for some $n$ and $k$. For eg. $n=1,...,6$, $k=1,....
Mikhail Gaichenkov's user avatar
0 votes
1 answer
393 views

Why is the physical space equivalent to $\mathbb{R}^3$ [closed]

I am trying to understand what would be the logical reasons behind our assumption that our physical space is equivalent to $\mathbb{R}^3$ or 'physical straight line' is equivalent to $\mathbb{R}$. $\...
Pritam Majumder's user avatar
3 votes
1 answer
697 views

Which motion is exclusive in 3D or higher dimensions?

Hi guys, I have a simple question Linear movement can be found in 1D, 2D and 3D world objects Rotation can be found in 2D and 3D world objects. Now, are there any kind of motion can only be found ...
est's user avatar
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