LƦ | Ʀamblings

A living* notebook of Ramblings, Sketches, Thought Experiments, and Ideas about the fabric of the Universe
Causal structure emerging from experiments

Turning knobs, stacking funnels.

Where is the causal link in this chain of events? ...

Communication between groups is difficult

The longer the members of a group spend time communicating with each other (i.e. member communicate only with member of the same group), the more difficult/convoluted is going to be the communication between groups.

What happens during this prolonged communication time?

Simple geometry: Symmetry in odd numbers

If 1 is the unit (not really a number isn't it?), only odd numbers are symmetric.

The role of the number 1 is to maintain unity: symmetrically splitting odd numbers (i.e. dividing by two) reveals their hidden symmetry (a new number?) ...

Simple geometry: from even numbers to primes

Two disjoint (?) sets of primes can be generated using two distinct rules:

The first set A uses primes: ...

A triangular display of prime numbers

The base of the triangle is a prime itself and the whole triangle is constructed as follows:

 Prime(p) ∧ Prime(2p - 1) 

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