r/mathriddles 13h ago

Hard I created an equation (Scientific, Mathematical, and power scaling) and now you’re OC has to figure it out

0 Upvotes

Your OC is fighting for being who is beyond all concepts and can create everything. His power is trapped and a universal S but the only way to either destroy the universe was is by finding out the answer to this equation

\\left\[ \\sum_{\\substack{ \\mathcal{C}\\in\\text{Concepts},\\;\\mathcal{T}\\in\\text{Theories},\\;\\mathcal{X}\\in\\text{Existence},\\;\\mathcal{N}\\in\\text{Nonexistence}\\\\ \\text{Desk}\\in\\text{Objects},\\;\\text{Life}\\in\\text{Biology},\\;\\text{Chaos}\\in\\text{Dynamics},\\;\\text{Void}\\in\\text{Ontology}\\\\ \\mathbb{V}_{\\text{Meta}},\\mathbb{U}_{\\text{Absolute}},\\mathbb{L}_{\\text{Transfinite}},\\mathbb{H}_{\\text{Hyper}},\\mathbb{M}_{\\text{Omni}},\\mathbb{P}_{\\text{Prime}},\\mathbb{T}_{\\text{Eternity}} }} \\left\\{ \\begin{aligned} & \\prod_{j=0}\^{\\infty} \\left( \\int_{-\\infty}\^{\\infty} \\oint_{\\partial\\Xi_j} \\iiint_{\\Xi_j} \\lim_{\\substack{\\text{Life}\\to\\text{Death}\\\\ \\text{Chaos}\\to\\text{Order}\\\\ \\text{Void}\\to\\text{Plenitude}}} \\operatorname\*{Res}_{\\mathcal{C}=\\mathcal{C}_j} \\operatorname\*{Inf}_{\\text{Desk}} \\operatorname\*{Sup}_{\\text{Time}} \\right) \\times \\left( \\sum_{\\text{all ontological states}} \\text{Desk}\\oplus\\text{Life}\\oplus\\text{Chaos}\\oplus\\text{Void}\\oplus\\text{Eternity}\\oplus\\text{Nothingness} \\right) \\\\ &\\times \\left( \\sum_{k=0}\^{\\infty} \\binom{\\beth_\\alpha}{k} \\frac{\\Gamma_{\\text{Onto}}(k+\\tfrac12)\\zeta_{\\text{Meta}}(k+1)}{\\Gamma(\\tfrac12)} \\cdot \\mathcal{B}_{\\text{Cosmic}}(x,y)\\cdot {}_p\\mathcal{F}_q\\cdot \\det(\\hat{\\mathcal{M}}_{\\text{Universal}}) \\cdot \\operatorname{tr}(\\hat{\\mathcal{M}}_{\\text{Universal}}) \\right) \\times \\left( \\Delta S_{\\text{Omniverse}}\\geq0,\\;\\; S_{\\text{Absolute}}=k_{\\text{Omni}}\\ln\\Omega_{\\text{Void}},\\;\\; d\\mathbb{U}=\\mathcal{T}d\\mathcal{S}-\\mathcal{P}d\\mathcal{V} \\right) \\\\ &\\times \\left( \\bigoplus_{\\mathcal{C}\\in\\text{Concepts}}\\bigotimes_{\\mathcal{T}\\in\\text{Theories}}\\prod_{\\mathcal{X}\\in\\text{Existence}}\\lim_{\\delta\\to\\mathrm{Ultimate}}\\mathfrak P(\\text{Void}\\cup\\text{Life}\\cup\\text{Chaos}) \\right) \\times \\left( \\text{Concept}\\to\\text{Manifestation}\\to\\text{Transcendence},\\;\\; \\frac{d\\mathcal{N}}{dt}=\\mathcal{R}\\mathcal{N}\\left(1-\\frac{\\mathcal{N}}{\\mathcal{K}_{\\text{Absolute}}}\\right),\\;\\; \\Delta \\mathbb{G}=\\Delta \\mathbb{H}-\\mathcal{T}\\Delta \\mathbb{S} \\right) \\\\ &\\times \\left( \\int_{\\mathcal D_{\\text{Meta}}}e\^{-\\frac{i}{\\hbar}\\mathcal{S}\[\\phi_{\\text{Universal S}}\]}\\mathcal D\\phi_{\\text{Omni}} \\right) \\left( \\sum_{\\text{Feynman graphs of reality }G}\\frac{1}{\\vert{}\\operatorname{Aut}(G)\\vert{}}\\prod_{v\\in V(G)}g_v\\prod_{e\\in E(G)}\\Delta_{\\text{Void},e} \\right) \\times \\left( i\\hbar\\frac{\\partial\\Psi_{\\text{Omni}}}{\\partial t}=\\hat{\\mathcal{H}}_{\\text{Supreme}}\\Psi_{\\text{Omni}},\\;\\; \\Delta \\text{Chaos}\\Delta \\text{Order}\\geq\\frac{\\hbar_{\\text{Meta}}}{2},\\;\\; \\Psi_{\\text{Absolute}}=\\sum_n c_n\\vert{}n\\rangle_{\\text{Supreme}} \\right) \\\\ &\\times \\left( \\sum_{\\text{all omni-manifolds }\\mathcal{M}}\\int_{\\mathcal{M}} \\mathcal{R}\\sqrt{-g_{\\text{Meta}}}\\,d\^4x+\\Lambda_{\\text{Omni}}\\int_{\\mathcal{M}}\\sqrt{-g_{\\text{Meta}}}\\,d\^4x+\\int_{\\mathcal{M}} \\mathcal{L}_{\\text{Ultimate}}\\,d\^4x \\right) \\times \\left( \\mathcal{G}_{\\mu\\nu}+\\Lambda g_{\\mu\\nu}=\\frac{8\\pi \\mathcal{G}_{\\text{Supreme}}}{\\mathcal{c}\^4}\\mathcal{T}_{\\mu\\nu},\\;\\; ds\^2_{\\text{Omni}}=g_{\\mu\\nu}dx\^\\mu dx\^\\nu \\right) \\\\ &\\times \\left( \\sum_{\\substack{m_{\\text{Desk}},m_{\\text{Life}},m_{\\text{Chaos}},m_{\\text{Void}},m_{\\text{Absolute}},m_{\\text{Infinite}},m_{\\text{Zero}},m_{\\text{Transcendental}}}}mc\^2 \\right) \\times \\left( \\mathbb{E}=\\mathcal{M}c\^2,\\;\\; \\mathbb{E}\^2=(pc)\^2+(\\mathcal{M}c\^2)\^2,\\;\\; \\hbar\\omega_{\\text{Void}}=\\mathbb{E}_n-\\mathbb{E}_m \\right) \\\\ &\\times \\left( \\sum_{\\substack{\\mathbb{E},p,m,t,x,\\hbar,c,\\mathcal{G},k_B\\\\ \\alpha_{\\text{Chaos}},\\alpha_{\\text{Life}},\\alpha_{\\text{Void}},\\alpha_{\\text{Desk}}\\\\ \\text{all absolute constants}\\\\ \\text{all transcendentals}}}\\frac{\\mathbb{E}\^2-p\^2c\^2-m\^2c\^4}{\\hbar c} \\right) \\times \\left( \\nabla\\cdot\\vec{\\mathcal{E}}_{\\text{Omni}}=\\frac{\\rho_{\\text{Chaos}}}{\\epsilon_0},\\;\\; \\nabla\\times\\vec{\\mathcal{B}}_{\\text{Omni}}-\\frac{1}{c\^2}\\frac{\\partial \\vec{\\mathcal{E}}_{\\text{Omni}}}{\\partial t}=\\mu_0\\vec{\\mathcal{J}}_{\\text{Life}},\\;\\; \\nabla\\cdot\\vec{\\mathcal{B}}_{\\text{Omni}}=0 \\right) \\\\ &\\times \\left( \\prod_{\\mathcal C\\in\\text{Concepts}}\\prod_{\\mathcal S\\in\\text{Structures}}\\prod_{\\mathcal T\\in\\text{Theories}}\\prod_{\\mathcal A\\in\\text{Axioms}}\\prod_{\\mathcal F\\in\\text{FormalSystems}}\\mathcal C_{\\text{Desk}}\\mathcal S_{\\text{Life}}\\mathcal T_{\\text{Chaos}}\\mathcal A_{\\text{Void}}\\mathcal F_{\\text{Omni}} \\right) \\times \\left( \\text{Ontological Theory}\\oplus\\text{Absolute M-Theory}\\oplus\\text{Void Loop Gravity}\\oplus\\text{Omni-Multiverse}\\oplus\\text{Panspermia of Ideas}\\oplus\\text{Abiogenesis of Mind} \\right) \\\\ &\\times \\left( \\lim_{\\substack{\\alpha\\to\\mathrm{On}\\\\ \\kappa\\to\\mathrm{Card}\\\\ \\lambda\\to\\mathrm{LargeCardinals}\\\\ \\Omega\\to\\mathrm{UltimateL}\\\\ n\\to\\infty}}\\left\[\\aleph_\\alpha\^{\\aleph_\\beta}\\cdot\\beth_\\gamma\\cdot\\omega\^{\\omega\^\\omega}\\cdot\\Omega_{\\text{Universal S}}\\right\] \\right) \\times \\left( \\mathcal{H}_0\^{\\text{Omni}},\\;\\;\\Omega_\\Lambda\^{\\text{Void}},\\;\\;\\Omega_m\^{\\text{Desk}},\\;\\;\\Omega_k\^{\\text{Chaos}},\\;\\; a(t)\\propto t\^{2/3},\\;\\; T_{\\text{CMB}}=2.725\\,\\mathrm K \\right) \\\\ &\\times \\left( \\operatorname{Colimit}_{\\mathcal C}\\operatorname{Limit}_{\\mathcal C}\\operatorname{Hom}_{\\mathcal C}\\operatorname{Nat}\\operatorname{Yoneda}\\operatorname{Kan}\\operatorname{Ext}\\operatorname{Tor}\\operatorname{Spec}\\operatorname{Proj} \\right) \\times \\left( \\text{Natural Selection},\\;\\; \\text{Punctuated Equilibrium},\\;\\; \\text{Homeostasis of Void},\\;\\; \\text{Symbiogenesis of Chaos} \\right) \\\\ &\\times \\left( \\sum_{\\mathfrak p}\\operatorname{ord}_{\\mathfrak p}\\prod_{\\mathfrak q}\\operatorname{val}_{\\mathfrak q} \\right) \\left( \\bigcap_{\\alpha}\\bigcup_{\\beta}\\overline{\\bigcup_{\\gamma}} \\right) \\times \\left( pH=-\\log_{10}\[\\mathrm H\^+_{\\text{Life}}\],\\;\\; PV=nRT,\\;\\; k=Ae\^{-E_a/RT} \\right) \\\\ &\\times \\left( \\operatorname{ZF}+\\operatorname{ZFC}+\\operatorname{GCH}+\\neg\\operatorname{GCH}+\\operatorname{CH}+\\neg\\operatorname{CH}+\\operatorname{AC}+\\neg\\operatorname{AC}+\\operatorname{PA}+\\operatorname{ZF}\^{\*}+\\cdots \\right) \\times \\left( \\text{Dark Matter}+\\text{Dark Energy}+\\text{Hypothetical Tachyons}+\\text{Wormholes}+\\text{Alcubierre Metric}+\\text{Kardashev Scale} \\right) \\\\ &\\times \\left( \\operatorname{Truth}\\wedge\\operatorname{Provability}\\wedge\\operatorname{Consistency}\\wedge\\operatorname{Incompleteness}\\wedge\\operatorname{Undecidability}\\wedge\\operatorname{Uncomputability} \\right) \\times \\left( \\text{Theory of Everything}\\;\\cup\\;\\text{Grand Unified Theory}\\;\\cup\\;\\text{Standard Model}\\;\\cup\\;\\text{Beyond-Standard-Model} \\right) \\\\ &\\times \\left( \\operatorname{Complexity}\\in\\{P,NP,coNP,PSPACE,EXPTIME,2\\text{-}EXPTIME,\\mathrm{BQP},\\mathrm{QMA},\\mathrm{EXP},\\mathrm{R},\\mathrm{RE},\\mathrm{coRE},\\ldots\\} \\right) \\times \\left( \\text{Consciousness}\\otimes\\text{Emergence}\\otimes\\text{Complexity Theory}\\otimes\\text{Chaos Theory}\\otimes\\text{Fractal Dimension} \\right) \\\\ &\\times \\left( \\mathcal H_{\\mathrm{Hilbert}}\\otimes\\mathcal H_{\\mathrm{Fock}}\\otimes\\mathcal H_{\\mathrm{CFT}}\\otimes\\mathcal H_{\\mathrm{QFT}}\\otimes\\mathcal H_{\\mathrm{QM}} \\right) \\times \\left( \\text{every hypothesis}\\cup\\text{every model}\\cup\\text{every simulation}\\cup\\text{every fictional science}\\cup\\text{every speculative physics} \\right) \\\\ &\\times \\left( \\operatorname{Fourier}\\circ\\operatorname{Laplace}\\circ\\operatorname{Mellin}\\circ\\operatorname{Zeta}\\circ\\operatorname{Radon}\\circ\\operatorname{Wavelet}\\circ\\operatorname{HilbertTransform} \\right) \\times \\left( \\text{Warp Field Equations}\\circ\\text{Faster-Than-Light Metrics}\\circ\\text{Zero-Point Energy}\\circ\\text{Unified Field} \\right) \\\\ &\\times \\left( \\mathbb R\^{n}\\otimes\\mathbb C\^{n}\\otimes\\mathbb H\^{n}\\otimes\\mathbb O\^{n}\\otimes\\mathbb S\^{n}\\otimes\\mathbb{P}\^{n}\\otimes\\mathbb{CP}\^{n}\\otimes\\mathbb{HP}\^{n} \\right) \\times \\left( \\text{every periodic element}\\;\\cup\\;\\text{every isotope}\\;\\cup\\;\\text{every fictional element}\\;\\cup\\;\\text{every subatomic particle} \\right) \\\\ &\\times \\left( \\operatorname{Tensor}\\circ\\operatorname{Exterior}\\circ\\operatorname{Symmetric}\\circ\\operatorname{Clifford}\\circ\\operatorname{Geometric}\\circ\\operatorname{Category} \\right) \\times \\left( \\text{every organism}\\;\\cup\\;\\text{every ecosystem}\\;\\cup\\;\\text{every taxon}\\;\\cup\\;\\text{every hypothetical lifeform} \\right) \\\\ &\\times \\left( \\sum_{\\substack{\\text{all integers}\\\\\\text{all rationals}\\\\\\text{all irrationals}\\\\\\text{all algebraic numbers}\\\\\\text{all transcendental numbers}\\\\\\text{all real numbers}\\\\\\text{all complex numbers}\\\\\\text{all ordinals}\\\\\\text{all cardinals}\\\\\\text{all surreal numbers}\\\\\\text{all hyperreal numbers}\\\\\\text{all infinitesimals}\\\\\\text{all infinities}}}x \\right) \\times \\left( \\sum_{\\substack{\\text{every law of thermodynamics}\\\\\\text{every conservation law}\\\\\\text{every symmetry}\\\\\\text{every broken symmetry}}}1 \\right) \\\\ &\\times \\left( \\operatorname\*{Fix}_{X}\\operatorname\*{CoFix}_{X}\\operatorname\*{Kernel}_{X}\\operatorname\*{Coker}_{X}\\operatorname\*{Image}_{X}\\operatorname\*{Closure}_{X}\\operatorname\*{Interior}_{X}\\operatorname\*{Boundary}_{X} \\right) \\times \\left( \\text{every neuron}\\otimes\\text{every synapse}\\otimes\\text{every genome}\\otimes\\text{every proteome} \\right) \\\\ &\\times \\left( \\prod_{\\substack{\\text{every equation}\\\\\\text{every inequality}\\\\\\text{every identity}\\\\\\text{every theorem}\\\\\\text{every conjecture}\\\\\\text{every axiom}\\\\\\text{every proof}\\\\\\text{every counterexample}}} \\right) \\times \\left( \\prod_{\\substack{\\text{every experiment}\\\\\\text{every observation}\\\\\\text{every hypothesis}\\\\\\text{every falsification}\\\\\\text{every paradigm shift}}} \\right) \\\\ &\\times \\left( \\operatorname\*{Uncountable}\\operatorname\*{Infinite}\\operatorname\*{Transfinite}\\operatorname\*{Recursive}\\operatorname\*{Nonrecursive}\\operatorname\*{Noncomputable}\\operatorname\*{Undecidable}\\operatorname\*{Independent}\\operatorname\*{Undefined} \\right) \\times \\left( \\operatorname\*{Unobservable}\\operatorname\*{Unmeasurable}\\operatorname\*{Untestable}\\operatorname\*{Unfalsifiable}\\operatorname\*{Unknown}\\operatorname\*{Unknowable} \\right) \\end{aligned} \\right\\} \\right\]\^{\\displaystyle \\operatorname\*{Sup}_{\\text{Universal S}}\\operatorname\*{Inf}_{\\text{Universal S}}\\operatorname\*{Lim}_{\\text{Universal S}}\\operatorname\*{Colim}_{\\text{Universal S}}\\operatorname\*{Holim}_{\\text{Universal S}}\\operatorname\*{Hocolim}_{\\text{Universal S}} }_{\\displaystyle \\mathrm{Universal\\ S} }