Fundamental Principles of Reality
- Quantum Mechanics: Wave-particle duality, superposition, entanglement, uncertainty principle, quantum tunneling, measurement problem. Schrödinger's equation, quantum fields, path integrals, Dirac notation, density matrices, Bell inequalities, decoherence, quantum Zeno effect, Aharonov-Bohm effect, Berry phase, quantum computing (qubits, gates), interpretations (Copenhagen, many-worlds, causal interpretation, ensemble interpretation, objectve collapse, relational interpretation, quantum bayesianism etc.), geometric quantization, path integral formulation, quantum trajectories, consistent histories, weak measurements, quantum Darwinism, resource theories, contextuality, Kochen-Specker theorem, PT-symmetric Hamiltonians, quantum nondemolition, exceptional points, topological quantum computing, anyons, Majorana fermions, Bell state analyzer, no-cloning theorem, quantum metrology, GHZ paradox.
- Relativity: Spacetime fabric, time dilation, length contraction, Lorentz transformations, equivalence principle, gravitational lensing, black holes. Einstein field equations, cosmological constant, warped spacetime, stress-energy tensor, metric tensor, Christoffel symbols, geodesic equation, frame-dragging, gravitational waves, Penrose diagrams, Schwarzschild/Kerr solutions, cosmological models (FLRW metric), Hawking radiation, Newman-Penrose formalism, Petrov classification, Bondi-Sachs formalism, causal structure, cosmic censorship hypothesis, Reissner-Nordström metric, Kerr-Newman metric, teleparallel gravity, ADM formalism, Bianchi identities, Weyl curvature tensor, Raychaudhuri equation, Penrose process, superradiance, ergoregion, Israel-Carter theorem, quasi-normal modes, Blandford-Znajek process, Immirzi parameter.
- Standard Model: Quarks (up, down, charm, strange, top, bottom), leptons (electron, muon, tau, neutrinos), gauge bosons (photons, gluons, W/Z bosons), Higgs boson. Electroweak unification, quantum chromodynamics, spontaneous symmetry breaking, fermion generations, chiral fermions, Yang-Mills theory, renormalization group, confinement, Higgs mechanism, CKM/PMNS matrices, neutrino oscillations, Grand Unified Theories, supersymmetry (MSSM, extra dimensions), weinberg angle, proton decay, axions, neutrino mass hierarchy, strong CP problem, hierarchy problem, flavor anomalies, leptogenesis, GUT breaking, SUSY phenomenology, string landscape, CKM unitarity triangle, GIM mechanism, sphalerons, instantons, axion potential, sterile neutrinos, Majoron models, leptoquark searches, proton decay experiments, naturalness problem.
- Information Theory: Shannon entropy, quantum entanglement entropy, holographic principle, black hole entropy, Bekenstein bound, computational universe hypothesis, it-from-bit, Error correction codes, quantum teleportation, Landauer's principle, Maxwell's demon, black hole information paradox, algorithmic information theory, constructor theory, digital physics, quantum error correction, holographic codes, AdS/CFT correspondence, tensor networks, black hole firewalls, complexity = action, computational irreducibility, algorithmic randomness, quantum capacity, channel coding theorems, entanglement distillation, one-shot entanglement, quantum relative entropy, entanglement spectrum, holographic entanglement entropy, ER=EPR conjecture.
Emergent Complexity
- Atomic/Molecular Structure: Periodic table, electron orbitals, valence electrons, covalent/ionic bonding, molecular geometry (VSEPR theory), intermolecular forces, phase transitions, hybridization, molecular orbital theory, spectroscopy (NMR, IR, Raman), hydrogen bonding, van der Waals forces, supramolecular chemistry, chirality, Jahn-Teller effect, rovibrational spectroscopy, ligand field theory, density functional theory, aromaticity, fullerenes, carbenes, reactive intermediates, stereochemistry, X-ray crystallography, ab initio methods, vibronic coupling, Jahn-Teller distortions, lanthanide/actinide chemistry, metallocenes, carboranes, Woodward-Hoffmann rules, pericyclic reactions.
- Statistical Mechanics/Thermodynamics: Boltzmann distribution, ensembles (microcanonical, canonical, grand canonical), partition function, Maxwell-Boltzmann statistics, Bose-Einstein/Fermi-Dirac statistics, ideal gas law, laws of thermodynamics, thermodynamic potentials, fluctuations, fluctuation-dissipation theorem, critical phenomena, Ising model, renormalization group, Onsager relations, ergodicity breaking, phase transitions (1st/2nd order), topological order, Virial theorem, Jarzynski equality, Crooks fluctuation theorem, Lee-Yang theorem, mean-field theory, Landau theory, topological phases, Kosterlitz-Thouless transition, quantum criticality, Jarzynski equality, Onsager reciprocal relations, Ising critical exponents, Ginzburg-Landau theory, Berezinskii-Kosterlitz-Thouless transition, quantum spin liquids, deconfined quantum criticality.
- Chaos/Complexity: Attractors, bifurcation diagrams, fractals, Lyapunov exponents, sensitivity to initial conditions, cellular automata, emergent patterns, self-organization, far-from-equilibrium systems, logistic map, period-doubling, universality, strange attractors, Kolmogorov-Arnold-Moser theorem, edge of chaos, self-organized criticality, adaptive systems, game theory, Renormalization semigroup, Feigenbaum constants, universality classes, KAM tori, Chirikov criterion, sandpile model, directed percolation, self-avoiding walks, network theory (small-world, scale-free), Kolmogorov complexity, Lyapunov spectrum, strange nonchaotic attractors, multifractals, directed percolation universality class, Kauffman networks, Ashby's Law of Requisite Variety, econophysics.
- Biological Systems: DNA replication, transcription, translation, genetic code, cell signaling, metabolism, homeostasis, evolutionary theory (mutation, natural selection, fitness landscapes), ecosystems, biomes, epigenetics, protein folding, allosteric regulation, metabolic pathways, ecological networks, evolutionary dynamics, major evolutionary transitions, evo-devo, Cambrian explosion, Hox genes, morphogen gradients, neutral theory, Gaia hypothesis, Red Queen hypothesis, Fisher's fundamental theorem, punctuated equilibrium, major transitions, open-ended evolution, ribozymes, quorum sensing, atavisms, Fisherian runaway, Haldane's rule, evo-devo toolkit, convergent evolution, exaptations, Cambrian information explosion, mass extinction events.
- Neuroscience/Consciousness: Neuron structure (axons, dendrites, synapses), action potentials, neurotransmitters, sensory processing, neural networks, Hebbian learning, qualia, hard problem of consciousness, global workspace theory, higher-order thought theories, integrated information theory (Φ), predictive processing, Bayesian brain, electromagnetic theories of consciousness, radical embodiment, binding problem, neural coding, spike timing, attractor networks, split-brain patients, blindsight, embodied cognition, quantum theories of consciousness (Orch-OR), default mode network, thalamocortical loops, reentrant processing, logarithmic encoding, attention schema theory, microtubule resonance (Hameroff-Penrose), free energy principle, neural field theories, Binocular rivalry, thalamocortical binding, logarithmic sensory scales, affordances, enactivism, integrated world theory.
Macroscopic and Cosmic Phenomena
- Classical Mechanics: Newton's laws, conservation of energy/momentum, Lagrangian/Hamiltonian formalism, Kepler's laws, celestial mechanics, rigid body dynamics, gyroscopic effects, noether's theorem, Poisson brackets, chaos in celestial mechanics, KAM theorem, n-body problem, fluid instabilities (Rayleigh-Taylor, Kelvin-Helmholtz), elasticity, fracture mechanics, Action-angle variables, Liouville's theorem, symplectic geometry, solitons, Bäcklund transformations, inverse scattering method, rigid body dynamics (Euler angles, Poinsot construction), Hamilton-Jacobi theory, adiabatic invariants, Bertrand's theorem, Poincare recurrence, Fermi-Pasta-Ulam-Tsingou paradox, Hertzian contact mechanics, three-body problem (restricted, hierarchical).
- Electromagnetism: Maxwell's equations, electromagnetic waves, Faraday's law, Coulomb's law, Lorentz force, circuits, electric/magnetic fields, wave propagation, optics, electromagnetic induction, antennas, waveguides, plasmonics, superconductivity, Maxwell stress tensor, Aharonov-Bohm effect (magnetic), nonlinear optics, electrochemistry, Multipole expansion, Green's functions, dispersion relations, Kramers-Kronig relations, metamaterials, topological photonics, Aharonov-Casher effect, quantum electrodynamics (QED) loop corrections, Aharonov-Anandan phase, Jones calculus, metamaterial cloaking, photonic bandgaps, optical bound states in the continuum, Casimir effect, magneto-optical Kerr effect, spin Hall effect.
- Fluid Dynamics: Navier-Stokes equations, viscosity, turbulence, Reynolds number, boundary layers, laminar vs. turbulent flow, aerodynamics, hydrostatics, buoyancy, vorticity, potential flow, Stokes flow, shock waves, computational fluid dynamics, multiphase flow, rheology, granular materials, geophysics (mantle convection, dynamo theory), Hele-Shaw flow, Saffman-Taylor instability, Navier-Stokes existence & smoothness, boundary layer separation, Magnus effect, aeroacoustics, geophysical fluid dynamics (Rossby waves, Ekman layers), Rayleigh-Bénard convection, Taylor-Couette flow, Kelvin-Helmholtz instability, magnetohydrodynamics, dynamo theory, superfluidity (Landau criterion, vortex dynamics), droplet hydrodynamics.
- Cosmology: Big Bang, cosmic microwave background, redshift, Hubble's law, dark matter, dark energy, galaxy formation, structure formation, cosmological simulations, multiverse theories, nucleosynthesis, CMB anisotropies, Sachs-Wolfe effect, baryon acoustic oscillations, structure formation, Lyman-alpha forest, 21 cm cosmology, inflationary models, cosmic topology, Recombination, Sunyaev-Zel'dovich effect, gravitational lensing surveys, inflationary perturbations, quintessence, modified gravity (f(R), TeVeS), cosmic voids, reionization epoch, ΛCDM model, reionization signatures, baryon acoustic oscillations, Sachs-Wolfe effect, tensor-to-scalar ratio, dark matter substructure problem, cusp-core problem, modified Newtonian dynamics (MOND).
Overarching Questions and Unification
- Quantum Gravity: String theory, M-theory, loop quantum gravity, causal dynamical triangulation, emergent spacetime, holographic duality (AdS/CFT correspondence), causal sets, twistor theory, asymptotic safety, noncommutative geometry, spin networks, shape dynamics, entropic gravity, black hole thermodynamics (thermodynamic extremality), Emergent gravity (entropic, thermodynamic), asymptotically safe gravity, background independence, problem of time, black hole complementarity, holographic principle, fuzzy spacetime, Swampland conjectures, trans-Planckian problem, species problem, cosmological constant problem, firewall paradox, AdS/CFT dictionary, holographic complexity, twistors & amplitudes.
- Nature of Consciousness: Physicalism, idealism, panpsychism, neutral monism, computationalism, meta-awareness, Buddhist/Hindu insights, illusionism, phenomenal binding, quantum mind theories, metarepresentational abilities, evolutionary spandrels, phenomenal intentionality, illusion of free will, embodied cognition in AI, hard problem variants (explanatory gap, qualia inversion), phenomenal concept theory, epistemic vs. ontological emergence, consciousness collapse theories.
- Origins of Life: Abiogenesis, RNA world hypothesis, Miller-Urey experiment, hydrothermal vents, panspermia, protocells, autocatalysis, lipid world, metabolic networks, autocatalytic sets, hypercycles, chirality problem, astrobiology, Fermi paradox, Drake equation, extremophiles, clay hypothesis, chiral amplification, metabolic-first models, deep-sea vent vs. surface origin, directed panspermia, shadow biosphere, rare Earth hypothesis, lipid world vs. iron-sulfur world, chirality autocatalysis models, deep-ocean vs. tidepool origins, interstellar prebiotic chemistry, Fermi paradox variants, astrobiology ethics.
- Arrow of Time: Entropy increase, Loschmidt's paradox, Boltzmann brains, quantum decoherence, cosmological arrow of time, time in quantum gravity, cPT theorem, role of gravity in entropy, quantum arrow of time (weak measurements), Wheeler-DeWitt equation, time in loop quantum gravity, emergent time, Master equation, H-theorem, quantum recurrence, Boltzmann fluctuations, cosmological boundary conditions, conformal cyclic cosmology, time and quantum cosmology, consistent histories approach, quantum fluctuation theorems, quantum origins of the Boltzmann distribution, Barbour's timeless physics, emergent vs. fundamental time.
https://twitter.com/burny_tech/status/1761923832137277601
You're brilliant transdisciplinary polymath theorist and empiricist researcher, engineer, scientist. Write the most information dense rich general but hyper concrete list of concepts and subconcepts that govern how intelligence, general intelligence, artificial intelligence, biological intelligence, collective intelligence works from the most fundamental principles to emergent principles, from deeply mathematical theoretical rich formalisms and theories to empirical models, from general principles to the most concrete models. Get inspired by this format from this list of lists, but list concepts related to intelligence, using concepts from all related scientific fields and engineering disciplines, from solomonoff induction, AIXI to statistical learning theory to deep learning theory to free energy principle and different components and subcomponents.: