Research Questions

I am primarily devoted in finding clues to:

  • Why is the Universe computable? - the extraordinary effectiveness of AIT techniques like Solomonoff induction is based on just one assumption: the Universe is computable by a universal Turing machine. Why so? Why do the Church-Turing thesis hold? What does that tell us of the nature of our physical laws, or of the scientific method? Why do simple programs give rise to complex behavior? Is comprehension by compression and uncomputability of universal automata two sides of the same coin? Is everything relative to a partial trace or course-graining? Is truth relational? The ubiquity of universality and the computational reducibility self-referential? Does a Markov blanket automatically give rise to a probability distribution of Bayesian beliefs and information geometry? Is a non-anthropocentrism viewpoint possible?
  • Is there a computational action? - the action in Lagrangian in physics is fundamental to many core theories and look very similar to computational and algorithmic complexity - Are they? What roles do the computational resources play? What is the relation between computational, algorithmic complexity and thermodynamics? Can locality and causality be violated?

Research Themes

Research themes evolve over time. My older interests are listed with strikethrough. Some of my core interests are:

  • Applied Category Theory - computational category theory; universal algebras; categorical intelligence
  • Algorithmic Information - experimental algorithmic information theory; computational complexity phase change behavior; relations between expressibility-reachability-learnability-universality; description complexity …read more
  • Artificial Intelligence - universal artificial general intelligence; recursive self-improvement; universal constructors; explainable neural networks; neuro-evolution; neuro-symbolic AI; cellular automata rule learning; algorithmic perturbation analysis; do-calculusread more
  • Quantum Computation - quantum Hamiltonian complexity; quantum learning theory; quantum complexity geometry; quantum information; quantum swarm intelligence; tensor networks; holographic quantum circuit complexity; Feynman checkerboard QFTread more
  • Bioinformatics - in silico design space exploration for xenobiology; artificial life; synthetic biology; causal models of gene regulatory network; self-replicating RNA medicines
  • Swarm intelligence - multi-agent collaboration; swarm robotics; emergence; coarse-graining
  • Others - fractals; game theory; RtOS; computer vision; digital steganography

Here’s a visual that captures the most important topics:

Interest 2021

Mind Map

… of all things I live to keep myself updated about, and associated contributor to those ideas,…

The blue boxes and their 1-hop neighbours are my core interests.

Mind map

I tried finding my core interests in the Domain of Science charts. I eventually figured that most of my core interests lie in the field of computer science. The interests within physics, mathematics, and biology reflect the topics in computer science. Here’s the result:

CS interests

Scientists with overlapping research interest with me

Some researchers I currently follow very closely for my research.

  • Marcus Hutter - Universal artificial general intelligence; AIXI-tl
  • Hector Zenil - Experimental algorithmic information theory; Block decomposition method
  • Markus Müller - Quantum foundations using Solomonoff induction
  • David Wolpert - Thermodynamics of Turing machines; No free lunch theorems
  • Stephen Wolfram - Cellular automata types, Metamathematics
  • Cristian S. Calude - Algorithmic information theory; quantum computing
  • John Baez - Applied category theory
  • Noson Yanofsky - Category theory
  • Yoshihiro Maruyama - Applied category Theory

Favourite formulae/hypotheses

List of formulae or hypotheses that I find most impactful

  • Deutsch-Church-Turing thesis
  • Curry-Howard-Lambek correspondence
  • Mass-Energy-Information equivalence
  • Area law of entanglement
  • Thermodynamic Kolmogorov complexity
  • QKSA
  • AIXI
  • Solomonoff induction
  • Mandelbrot set
  • Barsley fern fractal
  • Glynn Julia set

On the shoulder of giants

(Created Jul 23, 2019) (Updated Apr 10, 2022)

I have been deeply inspired by many giants in the scientific community. I hold them in the highest regard for either their thoughts well resonate with mine or their propositions fuel my neural engines.

Favourite scientists of all time

The 3 of my most favourite scientists: John von Neumann, John Archibald Wheeler, Ray Solomonoff, in Salvador Dali art style (using the Android app Moment Cam).

Fav Scientists

Scientists I highly regard

While unification has been the holy grail for too long, I find clues lurking in the works of these great men.

…and among those who are still around

… the list keeps growing as the horizon of my knowledge widens.