Everything Equation

Welcome to the Everything Equation

And The Tier-0 Framework

A premium research platform curating open problems and scholarly articles, connecting ideas across disciplines.

What is the Everything Equation?

\mathcal{L}=\Omega\Delta\partial(\mathcal{L})

The Everything Equation is a unifying structural principle proposed to govern physical law, mathematics, and information under a single closure condition.

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Tier-1 Dynamical Realization

Tier-0 provides a closure/admissibility criterion. Tier-1 makes it concrete: a coupled Dirac–Λ operator system whose low-energy expansion recovers GR + Yang–Mills + fermions, while enforcing non-tunable admissibility constraints.

S[g,A,\psi]=\mathrm{Tr}^\ast\!\big(f(D_E^2/\Lambda^2)\big)+\langle \psi, D_E\psi\rangle

S_{\Omega}(D_E;T)\le D_T(K)\quad \text{for}\quad T\in[T_{\mathrm{UV}},T_{\mathrm{IR}}]

S_{\Omega}(D_E;T_{\mathrm{UV}})=D_{T_{\mathrm{UV}}}(c_M K)\qquad\text{(UV anchor)}

\delta\!\left(S+\int_{T_{\mathrm{UV}}}^{T_{\mathrm{IR}}}\big(S_{\Omega}-D_T\big)\,d\mu\right)=0\qquad\text{(KKT stationarity)}

View Tier-1 field equations See downstream physics problems

Latest Problems

Standard Model of Particle Physics

Law-level derivation of the Standard Model gauge group, fermion content, anomaly cancellation, and family multiplicity from Tier–0 closure and admissibility.

Grand Unified Theory

Structural derivation of an admissible grand unified gauge group via determinant closure and law-level rigidity.

Quantum Gravity and Spacetime Structure

Lawful emergence of spacetime dimensionality, null structure, and causal geometry via recursive gauge collapse and stability selection.

Latest Papers

The Everything Equation: A Universal Closure Principle for Law Structure

<p>This paper develops and proves a universal mathematical principle governing the structure of lawful systems. We show

The Everything Equation in Physics: A Universal Closure Principle for Physical Law

<p>This paper presents the physical realization of the Everything Equation, a universal recursion law originally formula

The Tier-0 Framework and the Everything Equation: A Law-Level Closure and Selection Architecture for Physics, Mathematics, and Information

<p>This monograph presents a consolidated and stabilized formulation of the Tier-0 Framework, a law-level closure and se