Random Musings

This serves as a pensieve to hold some of my thoughts so that I can return to them later and not forget all about them.

Quantum Mechanics
Possibility of explanation via standing waves and resonance?
Explanation of Young's double slit with electrons using the Chaos game.

Collatz Conjecture
Solved at last. Bit density. Concept of a dynamic equilibrium. Bring off analogy to the Le Chatelier's Principle. Explore possible variations of this conjecture? Markov Chains?

Chaos Theory
Nonlinearity. Feedback Loop. Causal chains that loop on itself. Feigenbaum universality. Stock market/Weather variation. Leaky Faucet. If a system is completely random, each new bit brings exactly one new bit of information. Exploration of chaos theory as encryption scheme? Chaos game.

Information Theory
Whole universe a computer? Information tells energy how to move, and energy tells information how to compute. Information about information. Energy is information? Afterall its capacity to do work.