Mathematical structure of reality is my religion [x.com](https://twitter.com/burny_tech/status/1772474938437296188) List as many concrete objects in reality (like person, atom, computer, planet, galaxy, electricity,...) as possible and for each object list as many mathematical fields and subfields and mathematical concepts and equation names used in explaining it in one sentence without any explanations For each mentioned mathematics explain how its used for that object Reality is pretty simple, it's all just algebra, geometry, trigonometry, calculus, differential equations, linear algebra, complex analysis, tensor analysis, group theory, topology, manifolds, Lie algebras, Hilbert spaces, Fourier analysis, wavelets, probability theory, statistics, combinatorics, graph theory, number theory, numerical analysis, optimization, dynamical systems, chaos theory, fractals, Newton's laws, Lagrangian mechanics, Hamiltonian mechanics, Euler-Lagrange equation, Hamilton-Jacobi equation, Noether's theorem, special relativity, Lorentz transformations, general relativity, Einstein field equations, Schwarzschild metric, Kerr metric, Friedmann equations, quantum mechanics, Schrödinger equation, Heisenberg uncertainty principle, Dirac equation, Klein-Gordon equation, Pauli exclusion principle, quantum field theory, Feynman diagrams, path integrals, gauge theory, Yang-Mills theory, Standard Model, Higgs mechanism, renormalization, perturbation theory, statistical mechanics, Boltzmann equation, Fermi-Dirac statistics, Bose-Einstein statistics, partition function, thermodynamics, Maxwell's equations, Navier-Stokes equations, fluid dynamics, magnetohydrodynamics, plasma physics, solid-state physics, Bloch theorem, band theory, Fermi surface, superconductivity, superfluidity, Bose-Einstein condensation, atomic physics, Rydberg formula, fine structure, hyperfine structure, Zeeman effect, Stark effect, nuclear physics, liquid drop model, shell model, Bethe-Weizsäcker formula, Gamow factor, particle physics, Feynman rules, Dyson series, Faddeev-Popov ghosts, Slavnov-Taylor identities, Callan-Symanzik equation, renormalization group, asymptotic freedom, confinement, spontaneous symmetry breaking, chiral symmetry breaking, neutrino oscillations, CP violation, cosmology, Friedmann-Lemaître-Robertson-Walker metric, cosmic microwave background, inflation, dark matter, dark energy, baryogenesis, Riemannian geometry, symplectic geometry, algebraic geometry, differential topology, algebraic topology, homology, cohomology, homotopy theory, category theory, sheaf theory, K-theory, Morse theory, Floer homology, Donaldson theory, Seiberg-Witten theory, Gromov-Witten theory, mirror symmetry, string theory, M-theory, supergravity, supersymmetry, BRST symmetry, conformal field theory, Chern-Simons theory, AdS/CFT correspondence, holography, black hole thermodynamics, Hawking radiation, Unruh effect, Casimir effect, quantum chromodynamics, lattice QCD, chiral perturbation theory, heavy quark effective theory, soft-collinear effective theory, parton model, factorization theorems, operator product expansion, sum rules, dispersion relations, S-matrix theory, Regge theory, bootstrap, dual resonance models, Veneziano amplitude, Koba-Nielsen-Olesen scaling, Polyakov action, Nambu-Goto action, Liouville theory, matrix models, random matrices, quantum chaos, quantum integrability, Bethe ansatz, Yang-Baxter equation, Knizhnik-Zamolodchikov equation, Virasoro algebra, Kac-Moody algebra, vertex operator algebras, conformal bootstrap, Ising model, Potts model, percolation theory, renormalization group flow, critical exponents, universality, scaling, self-organized criticality, cellular automata, agent-based models, network theory, random graphs, small-world networks, scale-free networks, epidemic models, game theory, Nash equilibrium, evolutionary game theory, mean-field theory, Ginzburg-Landau theory, Onsager solution, Bethe lattice, cavity method, replica trick, spin glasses, random energy model, directed polymers, Kardar-Parisi-Zhang equation, Burgers' equation, Korteweg-de Vries equation, nonlinear Schrödinger equation, solitons, instantons, kinks, vortices, Abrikosov vortex lattice, Berezinskii-Kosterlitz-Thouless transition, quantum Hall effect, topological insulators, Weyl semimetals, Dirac semimetals, Majorana fermions, anyons, quantum computing, Variational principles, least action principle, Fermat's principle, Huygens' principle, Maupertuis' principle, Gauss' principle of least constraint, Hertz's principle of least curvature, Liouville's theorem, Poincaré recurrence theorem, Kolmogorov-Arnold-Moser theorem, Nekhoroshev theorem, Poincaré-Birkhoff theorem, Smale horseshoe, Melnikov method, Duffing equation, van der Pol equation, Mathieu equation, Hill's equation, Floquet theory, Lyapunov exponents, Poincaré map, bifurcation theory, normal forms, center manifold theorem, Hopf bifurcation, pitchfork bifurcation, saddle-node bifurcation, transcritical bifurcation, Bogdanov-Takens bifurcation, Bautin bifurcation, Neimark-Sacker bifurcation, Shilnikov bifurcation, Feigenbaum constants, Sharkovskii's theorem, Hénon map, Lorenz system, Rössler system, Chua's circuit, Belousov-Zhabotinsky reaction, Kuramoto model, Fitzhugh-Nagumo model, Hodgkin-Huxley model, cable equation, reaction-diffusion equations, Turing patterns, Gray-Scott model, Swift-Hohenberg equation, Ginzburg-Landau equation, Gross-Pitaevskii equation, Bogoliubov-de Gennes equations, Eilenberger equation, Gorkov equation, Eliashberg theory, Bogoliubov transformation, Hartree-Fock approximation, density functional theory, Kohn-Sham equations, Hohenberg-Kohn theorems, exchange-correlation functionals, local density approximation, generalized gradient approximation, time-dependent density functional theory, quantum Monte Carlo, variational Monte Carlo, diffusion Monte Carlo, path integral Monte Carlo, tensor networks, matrix product states, projected entangled pair states, multiscale methods, renormalization group methods, dynamical mean-field theory, cluster dynamical mean-field theory, quantum embedding methods, quantum cluster methods, nonequilibrium Green's functions, Keldysh formalism, Kadanoff-Baym equations, Boltzmann transport equation, Landauer-Büttiker formalism, Kubo formula, Green-Kubo relations, fluctuation-dissipation theorem, Jarzynski equality, Crooks fluctuation theorem, Gallavotti-Cohen fluctuation theorem, large deviation theory, stochastic thermodynamics, Ricci calculus, Cartan formalism, exterior calculus, Hodge theory, de Rham cohomology, Dolbeault cohomology, Kähler geometry, Calabi-Yau manifolds, Sasaki-Einstein manifolds, G2 manifolds, Spin(7) manifolds, Hitchin's equations, Seiberg-Witten equations, Donaldson-Thomas invariants, Gromov-Hausdorff convergence, Ricci flow, mean curvature flow, harmonic maps, minimal surfaces, Plateau's problem, isoperimetric inequality, Sobolev spaces, Besov spaces, Triebel-Lizorkin spaces, interpolation spaces, Lorentz spaces, Orlicz spaces, Banach spaces, Fréchet spaces, nuclear spaces, topological vector spaces, Schwartz space, tempered distributions, pseudodifferential operators, Fourier integral operators, microlocal analysis, wavefront set, Hörmander's theorem, Duistermaat-Hörmander theorem, Egorov's theorem, Weyl quantization, Wigner function, Husimi function, Glauber-Sudarshan P-representation, quantum tomography, quantum state reconstruction, quantum process tomography, quantum error correction, quantum cryptography, quantum key distribution, quantum teleportation, quantum dense coding, quantum algorithms, Shor's algorithm, Grover's algorithm, quantum Fourier transform, quantum phase estimation, quantum amplitude amplification, quantum walks, quantum adiabatic optimization, quantum annealing, quantum machine learning, quantum neural networks, quantum Boltzmann machines, quantum autoencoders, quantum generative adversarial networks, quantum reservoir computing, quantum feedback control, quantum optimal control, quantum metrology, quantum sensing, quantum imaging, quantum radar, quantum illumination, quantum lithography, quantum plasmonics, quantum metamaterials, quantum nanophotonics, cavity optomechanics, circuit quantum electrodynamics, quantum dots, quantum wells, quantum wires, quantum point contacts, fractional quantum Hall effect, quantum spin Hall effect, topological superconductors, Majorana zero modes, non-Abelian anyons, quantum spin liquids, quantum magnetism, quantum phase transitions, Bose-Hubbard model, Jaynes-Cummings model, Rabi model, Dicke model, Lipkin-Meshkov-Glick model, Sachdev-Ye-Kitaev model, AdS/CMT correspondence, Kac-Moody algebras, affine Lie algebras, Virasoro algebras, W-algebras, vertex algebras, quantum groups, Hopf algebras, Yangians, crystal bases, cluster algebras, Poisson-Lie groups, Drinfeld doubles, Manin triples, Lie bialgebras, Lie-Poisson structures, Poisson-Nijenhuis structures, Courant algebroids, Dirac structures, generalized complex structures, exceptional generalized geometry, double field theory, noncommutative geometry, spectral triples, Connes' distance formula, Tomita-Takesaki theory, modular automorphisms, KMS states, Haag-Kastler axioms, Wightman axioms, Osterwalder-Schrader axioms, Euclidean quantum field theory, constructive quantum field theory, algebraic quantum field theory, locally covariant quantum field theory, perturbative algebraic quantum field theory, factorization algebras, chiral algebras, conformal nets, loop quantum gravity, spin foam models, group field theory, causal dynamical triangulations, causal sets, noncommutative geometry approach to quantum gravity, asymptotic safety, Hořava-Lifshitz gravity, shape dynamics, doubly special relativity, relative locality, rainbow gravity, quantum cosmology, Wheeler-DeWitt equation, loop quantum cosmology, canonical quantum gravity, path integral quantum gravity, Regge calculus, dynamical triangulations, Euclidean quantum gravity, twistor theory, Penrose transform, Newman-Penrose formalism, Petrov classification, Raychaudhuri equation, Sachs equations, Bondi-Metzner-Sachs group, Newman-Unti group, asymptotic symmetries, Bondi-Sachs energy-momentum, Hawking energy, Geroch energy, Penrose inequality, positive mass theorem, Witten spinorial proof, Schoen-Yau proof, Bartnik mass, Komar mass, ADM mass, ADM momentum, Bondi mass, Bondi news function, memory effect, soft graviton theorem, supertranslations, superrotations, extended BMS group, celestial holography, celestial CFT, Mellin amplitudes, conformal soft theorems, infrared triangle, black hole information paradox, firewall paradox, ER=EPR conjecture, Almheiri-Marolf-Polchinski-Sully proposal, Papadodimas-Raju proposal, fuzzball proposal, traversable wormholes, wormhole swap, baby universes, Atiyah-Singer index theorem, Atiyah-Bott fixed point theorem, Atiyah-Segal completion theorem, Connes-Kasparov conjecture, Baum-Connes conjecture, Novikov conjecture, Gromov-Lawson-Rosenberg conjecture, Stolz-Teichner conjecture, Freed-Hopkins-Teleman theorem, cobordism hypothesis, Madsen-Weiss theorem, Mumford conjecture, Witten conjecture, Seiberg-Witten invariants, Donaldson invariants, contact homology, symplectic field theory, Fukaya category, derived categories, tilting theory, Bridgeland stability conditions, Kontsevich homological mirror symmetry conjecture, SYZ conjecture, Gopakumar-Vafa conjecture, ADHM construction, Nahm equations, Kapustin-Witten equations, geometric Langlands correspondence, quantum geometric Langlands correspondence, Beilinson-Drinfeld quantization, Gaitsgory-Lurie conjecture, Weil conjectures, Grothendieck's standard conjectures, Hodge conjecture, Tate conjecture, Birch and Swinnerton-Dyer conjecture, Langlands program, Taniyama-Shimura conjecture, Fontaine-Mazur conjecture, Bloch-Kato conjecture, Beilinson conjectures, Parshin conjectures, Zagier conjectures, Stark conjectures, Hilbert-Pólya conjecture, Riemann hypothesis, Goldbach's conjecture, twin prime conjecture, ABC conjecture, Collatz conjecture, Erdős-Straus conjecture, Erdős-Szemerédi conjecture, Erdős-Hajnal conjecture, Hadwiger conjecture, Ringel-Kotzig conjecture, Hadamard conjecture, Jacobian conjecture, Dixmier conjecture, Kaplansky conjectures, Baum-Connes conjecture for groupoids, Farrell-Jones conjecture, Borel conjecture, Novikov conjecture for groups, Gromov-Lawson conjecture, Cannon conjecture, Andrews-Curtis conjecture, Whitehead conjecture, Zeeman conjecture, Poincaré conjecture, geometrization conjecture, Thurston's geometrization conjecture, Seifert fiber space conjecture, virtually Haken conjecture, virtual fibering conjecture, Marden's tameness conjecture, ending lamination conjecture, Ahlfors measure conjecture, MLC conjecture, Bers slice conjecture, density conjecture, Ehrenpreis conjecture, Fatou-Julia-Baker conjecture, Mandelbrot set conjecture, contact geometry, Poisson geometry, pseudo-Riemannian geometry, Finsler geometry, Lorentzian geometry, Sasakian geometry, Calabi-Yau geometry, hyperkähler geometry, quaternionic Kähler geometry, octonionic geometry, exceptional geometry, toric geometry, tropical geometry, quantum geometry, arithmetic geometry, enumerative geometry, motivic geometry, derived geometry, p-adic geometry, rigid analytic geometry, Berkovich spaces, perfectoid spaces, o-minimal structures, model theory, topos theory, ∞-categories, higher category theory, homotopy type theory, univalent foundations, proof theory, reverse mathematics, constructive mathematics, computable analysis, scientific computing, computational fluid dynamics, computational electromagnetism, computational quantum mechanics, computational materials science, computational biophysics, computational neuroscience, computational genomics, computational proteomics, computational drug design, computational systems biology, computational ecology, computational economics, computational finance, computational social science, computational linguistics, computational musicology, computational archaeology, computational art, computational creativity, computational humor, computational law, computational ethics, computational philosophy, computational history, computational journalism, computational education, computational sustainability, computational urban planning, computational transportation science, computational epidemiology, computational immunology, computational oncology, computational cardiology, computational psychiatry, computational cognitive science, computational anthropology, computational sociology, computational political science, computational international relations, computational peace science, computational conflict resolution, computational diplomacy, computational propaganda, computational counterterrorism, computational intelligence, computational learning theory, computational game theory, computational mechanism design, computational social choice, computational voting theory, computational judgment aggregation, computational epistemic logic, computational modal logic, computational temporal logic, computational deontic logic, computational action logic, computational coalition logic, computational argumentation theory, computational belief revision, computational trust theory, computational reputation theory, computational social network analysis, computational organizational theory, computational institutional analysis, computational collective intelligence, computational swarm intelligence, computational multi-agent systems, computational evolutionary game theory, computational population dynamics, computational evolutionary dynamics, computational cultural evolution, computational memetics, computational gene-culture coevolution, computational niche construction, electroweak theory, grand unified theories, F-theory, bosonic string theory, heterotic string theory, type I string theory, type IIA string theory, type IIB string theory, matrix theory, matrix string theory, topological string theory, topological quantum field theory, two-dimensional conformal field theory, higher-dimensional conformal field theory, logarithmic conformal field theory, parafermionic conformal field theory, W-algebra conformal field theory, Liouville conformal field theory, minimal model conformal field theory, rational conformal field theory, irrational conformal field theory, boundary conformal field theory, defect conformal field theory, permutation orbifold conformal field theory, coset conformal field theory, Wess-Zumino-Witten model, affine Lie algebra, vertex operator algebra, chiral algebra, modular tensor category, fusion category, braided monoidal category, ribbon category, modular functor, topological modular form, elliptic cohomology, tmf, string topology, string field theory, open string field theory, closed string field theory, Batalin-Vilkovisky formalism, Batalin-Fradkin-Vilkovisky formalism, Gerstenhaber algebra, homotopy algebra, A-infinity algebra, L-infinity algebra, operad, cyclic operad, modular operad, Deligne conjecture, Kontsevich formality theorem, deformation quantization, star product, Moyal product, Kontsevich star product, Fedosov star product, Cattaneo-Felder star product, Tsygan formality, Tamarkin formality, Kontsevich-Soibelman equation, Maurer-Cartan equation, homotopy Maurer-Cartan equation, quantum master equation, classical master equation, Batalin-Vilkovisky master equation, Batalin-Fradkin-Vilkovisky master equation, Zwiebach invariants, string vertices, closed string vertices, open-closed string vertices, quantum closed string vertices, quantum open-closed string vertices, loop vertices, gauge fixing, Siegel gauge, Schnabl gauge, Asano-Natsuume gauge, Erler-Schnabl solution, Kiermaier-Okawa solution, Fuchs-Kroyter-Potting solution, Erler-Maccaferri solution, Murata-Schnabl solution, Hata-Kojita solution, Hata-Matsunaga solution, Kunitomo-Okawa solution, Nonlinear sigma models, Wess-Zumino-Witten models, Chern-Simons theories, Donaldson-Witten theories, Seiberg-Witten theories, Rozansky-Witten theories, Casson-Witten invariants, Gromov-Witten invariants, Gopakumar-Vafa invariants, Ooguri-Vafa invariants, Nekrasov partition functions, AGT correspondence, Bethe/gauge correspondence, dimer models, crystal melting, topological vertex, topological recursion, Eynard-Orantin invariants, quantum curves, quantum spectral curves, quantum Airy structures, Kac-Schwarz operators, Virasoro constraints, W-constraints, Hirota equations, Miwa variables, Sato Grassmannian, Segal-Wilson Grassmannian, infinite-dimensional Grassmannian, Sato tau function, Jimbo-Miwa-Ueno tau function, KP hierarchy, BKP hierarchy, KdV hierarchy, Toda hierarchy, Ablowitz-Kaup-Newell-Segur hierarchy, Drinfeld-Sokolov hierarchies, Gelfand-Dickey hierarchies, W-algebra hierarchies, isomonodromy deformations, Painlevé equations, Garnier systems, Schlesinger systems, Chazy equation, Ramanujan identities, Rogers-Ramanujan identities, Gordon identities, Baxter equations, Yang-Baxter equations, Knizhnik-Zamolodchikov-Bernard equations, Calogero-Moser systems, Ruijsenaars-Schneider systems, Hitching systems, Seiberg-Witten integrable systems, Nekrasov-Shatashvili correspondence, quantum integrable systems, thermodynamic Bethe ansatz, algebraic Bethe ansatz, coordinate Bethe ansatz, off-diagonal Bethe ansatz, nested Bethe ansatz, ODE/IM correspondence, Langlands duality, Ngô strings, Arthur-Selberg trace formula, Braverman-Kazhdan proposal, Langlands-Shahidi method, multiple Dirichlet series, Rankin-Selberg method, Langlands beyond endoscopy, relative trace formula, Langlands-Rapoport conjecture, Kottwitz conjecture, Cluckers-Loeser conjecture, Fargues-Fontaine curve, chtoucas, Drinfeld shtukas, Vinberg theory, Luna's slice theorem, Hamiltonian reduction, quasi-Hamiltonian reduction, Marsden-Weinstein reduction, hyper-Kähler reduction, Hitchin equations, Bogomolny equations, vortex equations,