Currently my bottomup reality building metaframework inside I want to put all other knowledge into, hiearchy of what we can dream up: - Arbitrary structure or structurelessness (if you make any noises, any movements, any drugs, all experience with arbitrary structure or structurelessness counts in this category) - Languages: Structure constrained by vague or formal regularities (those regularities can be analyzed by all sorts of maths from for example information theory, but more on that later) - Philosophy: Language constrained by trying to explain something (all other philosophy goes here) - Mathematics: Philosophy constrained by strict formal definitions and rules (logic studies those rules) studying arbitrary relations between arbitrary things or inner structure of things - Applied mathematics: Mathematics constrained by making predictions about reality (part of systems science and mathematical physics) Applied mathematics lives inside some mathematical foundations, classical or constructivistic, let's start with classical Things in applied mathematics live inside some space and time and one can study their evolution and complex interaction Let's start from physics' (field studying matter, its fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force) mathematics governing the smallest fundamental particles: The current most empirically proven model is: We can model them by systems theory -> continuous dynamical systems -> classical mechanics' hamiltonian mechanics' discrete particles in continuous absolute space and time (linear algebra with differential equations where equations of motion are Euler–Lagrange equations of a least action principle) + quantum theory's quantizing and using Schrödinger equation -> making fields out of types of particles -> unifying space and time with special relativity inside what the particles live in -> all data about properties of particles from standard model [Standard Model - Wikipedia]([Standard Model - Wikipedia](https://en.wikipedia.org/wiki/Standard_Model)#Particle_content) -> some other math machinery from standard model [Standard Model - Wikipedia](https://en.wikipedia.org/wiki/Standard_Model) [Mathematical formulation of the Standard Model - Wikipedia](https://en.wikipedia.org/wiki/Mathematical_formulation_of_the_Standard_Model) https://indico.cern.ch/event/528094/contributions/2171249/attachments/1319109/1977592/ASPStandardModelSmall.pdf What's missing: incorporating gravity and other stuff in physics [List of unsolved problems in physics - Wikipedia](https://en.wikipedia.org/wiki/List_of_unsolved_problems_in_physics) Solutions: Quantum gravity (quantum general relativity), from big scale (classical model) to small scale (quantum theory): - Loops: Loop quantum gravity - Strings: String theory - Holographic Principle fuckery? I will prefer: From quantum theory to classical limit: Degree of quantum entanglement between particles: Sean Carrol's model Quantum darwinism We can analyze it with classical statistical mechanics' thermodynamics that we merge with quantum mechanics to obtain with quantum statistical mechanics and quantum thermodnyamics [Quantum statistical mechanics - Wikipedia](https://en.wikipedia.org/wiki/Quantum_statistical_mechanics) [Quantum thermodynamics - Wikipedia](https://en.wikipedia.org/wiki/Quantum_thermodynamics) now we have a model of fundamental particles of the universe, let's go up + We can but don't have to use various mathematical machinery to emerge across scales, from small objects (mostly living in quantum math) to average objects (mostly living in classical math) to massive objects (mostly living in relativistic math), with effective field theory, renormalization group, pointcare map, petrubation theory: - Absolute space and time: Systems science and classical mechanics, with linear algebra and all other sorts of maths, where most average sized objects in average speed mostly live - most science go here - chemistry, biology, cognitive science, social sciences and so on (lots of frameworks in psychology or social science are less mathematical and more forming reality instead of predicting it), works scalefree, we can use stuff like fluid mechanics, annealing, cybernetics and so on - unifying math is classical free energy principle Small things can have effects on avarage sized things, some quantum biology or quantum consciousness models fuckery goes here + emerge more - Relative spacetime: General relativity, where most massive objects or close to speed of light mostly live in, cosmology maybe relativistic theory of consciousness? Quantum free energy principle unifies all scales and fields in one abstract quantum information theoretic framework but doesn't solve all unsolved concrete problems in all the various fields but can help with that a lot! movements [Quantum biology - Wikipedia](https://en.wikipedia.org/wiki/Quantum_biology) [Quantum cosmology - Wikipedia](https://en.wikipedia.org/wiki/Quantum_cosmology) [Quantum optics - Wikipedia](https://en.wikipedia.org/wiki/Quantum_optics) [Measurement in quantum mechanics - Wikipedia](https://en.wikipedia.org/wiki/Measurement_in_quantum_mechanics) [Quantum thermodynamics - Wikipedia](https://en.wikipedia.org/wiki/Quantum_thermodynamics) [Open quantum system - Wikipedia](https://en.wikipedia.org/wiki/Open_quantum_system) [Closed system - Wikipedia](https://en.wikipedia.org/wiki/Closed_system) [Evolutionary game theory - Wikipedia](https://en.wikipedia.org/wiki/Evolutionary_game_theory) [Evolutionary Game Theory (Stanford Encyclopedia of Philosophy)](https://plato.stanford.edu/entries/game-evolutionary/) [Game theory - Wikipedia](https://en.wikipedia.org/wiki/Game_theory) [Nonlinear system - Wikipedia](https://en.wikipedia.org/wiki/Nonlinear_system) [Pattern formation - Wikipedia](https://en.wikipedia.org/wiki/Pattern_formation) [Adaptation - Wikipedia](https://en.wikipedia.org/wiki/Adaptation) [Evolution - Wikipedia](https://en.wikipedia.org/wiki/Evolution) [Network science - Wikipedia](https://en.wikipedia.org/wiki/Network_science) [Collective behavior - Wikipedia](https://en.wikipedia.org/wiki/Collective_behavior) [Self-organization - Wikipedia](https://en.wikipedia.org/wiki/Self-organization) [Systemics - Wikipedia](https://en.wikipedia.org/wiki/Systemics) [Systems engineering - Wikipedia](https://en.wikipedia.org/wiki/Systems_engineering) [Portal:Systems science - Wikipedia](https://en.wikipedia.org/wiki/Portal:Systems_science) [Hierarchy theory - Wikipedia](https://en.wikipedia.org/wiki/Hierarchy_theory) [Information theory - Wikipedia](https://en.wikipedia.org/wiki/Information_theory) [Cybernetics - Wikipedia](https://en.wikipedia.org/wiki/Cybernetics) [Control theory - Wikipedia](https://en.wikipedia.org/wiki/Control_theory) [Dynamical systems theory - Wikipedia](https://en.wikipedia.org/wiki/Dynamical_systems_theory) [Chaos theory - Wikipedia](https://en.wikipedia.org/wiki/Chaos_theory) [Complex system - Wikipedia](https://en.wikipedia.org/wiki/Complex_system) [List of types of systems theory - Wikipedia](https://en.wikipedia.org/wiki/List_of_types_of_systems_theory) [Systems theory - Wikipedia](https://en.wikipedia.org/wiki/Systems_theory) [Adaptive system - Wikipedia](https://en.wikipedia.org/wiki/Adaptive_system) [System dynamics - Wikipedia](https://en.wikipedia.org/wiki/System_dynamics) [World-systems theory - Wikipedia](https://en.wikipedia.org/wiki/World-systems_theory) [Systems psychology - Wikipedia](https://en.wikipedia.org/wiki/Systems_psychology) [Systems ecology - Wikipedia](https://en.wikipedia.org/wiki/Systems_ecology) [Systems chemistry - Wikipedia](https://en.wikipedia.org/wiki/Systems_chemistry) [Systems biology - Wikipedia](https://en.wikipedia.org/wiki/Systems_biology) [Earth system science - Wikipedia](https://en.wikipedia.org/wiki/Earth_system_science) [Systems design - Wikipedia](https://en.wikipedia.org/wiki/Systems_design) [List of types of systems theory - Wikipedia](https://en.wikipedia.org/wiki/List_of_types_of_systems_theory) [Linear system - Wikipedia](https://en.wikipedia.org/wiki/Linear_system) [Developmental systems theory - Wikipedia](https://en.wikipedia.org/wiki/Developmental_systems_theory) [Critical systems thinking - Wikipedia](https://en.wikipedia.org/wiki/Critical_systems_thinking) [Control system - Wikipedia](https://en.wikipedia.org/wiki/Control_system) [Conceptual system - Wikipedia](https://en.wikipedia.org/wiki/Conceptual_system) [Complex adaptive system - Wikipedia](https://en.wikipedia.org/wiki/Complex_adaptive_system) [Biomatrix systems theory - Wikipedia](https://en.wikipedia.org/wiki/Biomatrix_systems_theory) [Biochemical systems theory - Wikipedia](https://en.wikipedia.org/wiki/Biochemical_systems_theory) [Introduction to Infinite-Dimensional Systems Theory: A State-Space Approach | SpringerLink](https://link.springer.com/book/10.1007/978-1-0716-0590-5) Infinite-Dimensional Systems Theory [Stochastic modelling (insurance) - Wikipedia](https://en.wikipedia.org/wiki/Stochastic_modelling_(insurance)) [Stochastic - Wikipedia](https://en.wikipedia.org/wiki/Stochastic) [Multidimensional system - Wikipedia](https://en.wikipedia.org/wiki/Multidimensional_system) [List of types of systems engineering - Wikipedia](https://en.wikipedia.org/wiki/List_of_types_of_systems_engineering) [Systems philosophy - Wikipedia](https://en.wikipedia.org/wiki/Systems_philosophy) [Social rule system theory - Wikipedia](https://en.wikipedia.org/wiki/Social_rule_system_theory) [Sociotechnical system - Wikipedia](https://en.wikipedia.org/wiki/Sociotechnical_system) [Physical system - Wikipedia](https://en.wikipedia.org/wiki/Physical_system) [Pattern language - Wikipedia](https://en.wikipedia.org/wiki/Pattern_language#Usage) [Social system - Wikipedia](https://en.wikipedia.org/wiki/Social_system) [Operating system - Wikipedia](https://en.wikipedia.org/wiki/Operating_system) [Open system (systems theory) - Wikipedia](https://en.wikipedia.org/wiki/Open_system_(systems_theory)) https://www.sciencedirect.com/science/article/abs/pii/S0076539208632245 Nonlinear stochastic system models [Sociocybernetics - Wikipedia](https://en.wikipedia.org/wiki/Sociocybernetics) [List of types of systems theory - Wikipedia](https://en.wikipedia.org/wiki/List_of_types_of_systems_theory) increasing brain entropy correlates with intelligence https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5809019/ [reference request - Standard model of particle physics for mathematicians - MathOverflow](https://mathoverflow.net/questions/57656/standard-model-of-particle-physics-for-mathematicians) [Gauge Field Theories: Spin One and Spin Two: 100 Years After General Relativity - Gunter Scharf - Google Books](https://books.google.de/books?id=0DvBDAAAQBAJ) Gauge Field Theories: Spin One and Spin Two https://souravchatterjee.su.domains//qft-lectures-combined.pdf [Quantum Field Theory for Mathematicians - Robin Ticciati - Knihy Google](https://books.google.cz/books/about/Quantum_Field_Theory_for_Mathematicians.html?id=l-ruCWBpK8AC&redir_esc=y) [Quantum Field Theory: A Tourist Guide for Mathematicians - G. B. Folland - Knihy Google](https://books.google.cz/books/about/Quantum_Field_Theory.html?id=KWMAoQEACAAJ&redir_esc=y) best QTF math book?? Quantum Field Theory: A Tourist Guide for Mathematicians feynman lectures [Why doesn't gravity fit into the standard model? - Quora](https://www.quora.com/Why-doesnt-gravity-fit-into-the-standard-model) [Symplectic Geometry Breakthrough Junior Challenge 2024 - YouTube](https://www.youtube.com/watch?v=VSvW2wUFHAM) sympetic geometry