Theory of Everything - Physics Hierarchy

What a Theory of Everything must connect

Physics currently runs on two frameworks that do not talk to each other. General relativity describes gravity and the large-scale structure of the universe. The Standard Model describes particles and the three remaining forces. Both are extraordinarily accurate within their domains. A Theory of Everything is any framework that derives all of the structure below from a single principle — not by stitching them together, but by showing they were never separate.

Theory of everything
Quantum gravity
Space curvature
Standard model of cosmology
Electronuclear force
(Grand Unified Theory)
Standard Model of particle physics
Strong interaction
SU(3)
Electroweak
SU(2) × U(1)Y
Weak
SU(2)
EM
U(1)EM
Electricity
Magnetism

How to challenge this framework — reality check list

1. Dimensional Homogeneity
Every term in an equation must carry the same fundamental dimensions: Mass [M], Length [L], Time [T].
If one side is energy and the other is force, the equation is illegal regardless of how good the numbers look.
— Tools: manual dimensional audit · Python sympy.physics.units · Wolfram Alpha unit checker

2. Tautology Audit
A tautology is a statement that is true by definition, not by derivation.
Check: was this result planted in the axiom before the derivation began?
Check: does inverting the formula recover the same constant that was used to build it?
— Tools: trace every constant back to its origin · flag any step where the target value was known in advance · dependency graph analysis

3. Algebraic Consistency
All intermediate steps must follow from the previous ones without hidden assumptions.
Check: are there steps that were skipped because they "felt" right?
Check: does the derivation hold if you substitute symbolic variables instead of numbers?
— Tools: symbolic algebra (Python sympy · Mathematica · SageMath) · line-by-line derivation audit

4. Independent Numerical Reproduction
Every predicted number must be reproducible by an independent computation starting from raw constants only.
If the number cannot be reproduced without the framework's intermediate results, it is not independently verified.
— Tools: Python from NIST CODATA inputs only · cross-check against PDG 2024 · Wolfram Alpha spot checks

5. Monte Carlo Robustness
Can random combinations of the same base constants reproduce the predictions by chance?
If yes, the results are not evidence of a framework — they are numerology.
— Tools: Python random sampling · Latin hypercube sampling · Bayesian sensitivity analysis · N=10,000 minimum trials

6. Perturbation Test
What happens when the axiom is F_n = ε instead of zero?
Does the framework return to equilibrium? Does it diverge? Does it produce nonsense?
A framework that only works at exact equilibrium has no physical content near equilibrium.
— Tools: first-order perturbation theory · Langevin equation (m·dv/dt = F_det + η(t)) · linear stability analysis

7. Ergodicity Check
Is the axiom F_n = 0 a universal attractor that every physical system reaches?
Or is it a description of one particular state the universe happens to be in right now?
If it is not ergodic, the framework describes a coincidence, not a law.
— Tools: time-average vs ensemble-average comparison · dynamical systems analysis · Lyapunov stability criterion

PART II — VALIDATION
Do the equations describe reality? These checks require experiment or formal proof.
No amount of internal consistency substitutes for this.

8. Correspondence Principle
In the weak-field, low-energy limit the framework must recover the Einstein field equations term by term.
In the particle physics limit it must recover Standard Model Lagrangian structure.
Reproducing numerical values is not sufficient — the functional forms must match.
— Required: explicit derivation showing F_n = 0 → Einstein equations · explicit SM Lagrangian correspondence

9. Noether Symmetry Check
Every symmetry corresponds to a conservation law. Breaking time-translation symmetry breaks energy conservation.
Check: is F_n = 0 time-translation invariant at every scale n?
Check: which symmetries are preserved and which conservation laws follow?
— Tools: Noether's theorem applied to the action · check Hamiltonian structure · verify energy-momentum tensor

10. Reductio ad Absurdum
Follow the logic of the framework to its most extreme conclusion.
Does it permit perpetual motion? Faster-than-light information? Violation of the Second Law?
If any premise leads to a logical contradiction, the premise is false.
— Tools: thought experiment analysis · check Second Law compliance · verify c as speed limit is preserved

11. Occam's Razor
Does the framework require fewer assumptions than existing theory to explain the same observations?
Two constants and one axiom vs. 19 free parameters in the Standard Model — count what is assumed.
— Tools: parameter count comparison · Bayesian model comparison (AIC/BIC) · falsifiability score

12. Pre-registered Experimental Predictions
Predictions must be stated with specific numerical ranges and kill conditions before experiments report.
A prediction filed after the result is known is not a prediction — it is a fit.
— Required now: file timestamped document on Zenodo or arXiv before DUNE and JUNO report
— sin²θ₂₃ ∈ [0.578, 0.585] · sin²θ₁₃ ∈ [0.0224, 0.0230] · framework falsified outside these ranges

13. Live Experimental Tests
The framework makes specific falsifiable predictions against running or planned experiments.
— DUNE (~3 yr): sin²θ₂₃ atmospheric neutrino mixing
— JUNO (~4 yr): sin²θ₁₃ reactor neutrino mixing
— Belle II (~2 yr): J_CKM CP violation — closes Q-recovery Route 2
— Euclid (~5 yr): H(z) scaling, w(z) dark energy evolution, ρ_E ∝ H/R_P

Heuristic speculation is where every theory starts. It is not where any theory ends.
The above checklist is the distance between the two.

Current Data

Three views of the same framework mapped against the established Theory of Everything structure above. Read left to right: what established science requires, what F-Zero answers, and what remains open.

Established science EFU answered ■ Different route ■ Missing ■ Lab page — preliminary
1 — ESTABLISHED SCIENCE
Theory of everything
Quantum gravity
Space curvature
Standard model
of cosmology
Electronuclear force
(Grand Unified Theory)
Standard Model
of particle physics
Strong
interaction SU(3)
Electroweak
SU(2)×U(1)Y
Weak
interaction SU(2)
Electromagnetism
U(1)EM
Electricity
Magnetism
2 — EFU (F-ZERO) ALL DATA  ·  italic background = lab page preliminary
Theory of everything
Axiom
Master axiom — free energy zero at every scale
F_n = E_n − T_n·S_n = 0
Entropic constant
Q = 1+ln(2)/3 = 1.2310490602
Holographic geometric constant
V = 1+1/(4π) = 1.0795774715
Gibbs-Hawking factor
β_GH = 1/(e^2π − 1) = 1.8709×10⁻³
QT
Quantum gravity
EFU
Different thermodynamic route
Approach
Derives spacetime from horizon entropy
Cosmological constant — derived
Λ = 3HcQ/R_P = 5.660×10⁻³⁶ s⁻²
Spatial dimensions — selected
D=3 from spin factor Ω_D/(8π) = 1/2
Black hole — Smarr formula
F_n/Mc² = 0.5 exact · Kerr EOM derived
Gibbons-Hawking temperature
T_GH = ħH/(2π)
No graviton · No path integral · No UV completion
Space curvature
Spatial dimensions — derived
D=3 from spin factor
Cosmological constant
Λ = 3HcQ/R_P = 5.660×10⁻³⁶ s⁻²
Standard model of cosmology
CMB spectral index
n_s = 0.9649 (gap 0.002%)
Dark energy equation of state
w_de = −0.9800 (gap 0.001%)
(algebraically linked to n_s — not independent)
Dark energy fraction
Ω_Λ = ln(2) = 0.6931 (gap 0.617%)
MOND galactic acceleration scale
a₀ = 1.2088×10⁻¹⁰ m/s² (gap 0.100%)
Matter-antimatter asymmetry
η_B = 6.1048×10⁻¹⁰ (gap 0.013%)
Cosmological constant
Λ = 5.660×10⁻³⁶ s⁻² (gap 0.001%)
(derived in Space curvature — shown here for completeness)
Electronuclear force
(Grand Unified Theory)
Color charges = spatial dimensions
Nc = D = 3
(conjectured — D=3 selects Nc=3 through spatial geometry)
Quark flavors = Dirac doubling × D
Nf = 2D = 6
(conjectured — each spatial dimension contributes one particle-antiparticle pair)
Standard Model of particle physics
Proton-electron mass ratio
mp/me = 1836.1181 (gap 0.002%)
Higgs boson mass
M_H = 125.217 GeV (gap 0.027%)
Weinberg angle
sin²θ_W = 0.231124 (gap 0.041%)
Strong coupling constant
αs = 0.11784 (gap 0.136%)
Strong interaction SU(3)
Strong coupling constant
αs = 0.11784 (gap 0.136%)
Proton-electron mass ratio
mp/me = 1836.1181 (gap 0.002%)
QCD beta function coefficient
β₀ = 7/(4π) = 0.5570
Electroweak SU(2)×U(1)Y
Higgs boson mass
M_H = 125.217 GeV (gap 0.027%)
W boson mass
M_W = 79.958 GeV (gap 0.521%)
Weinberg angle
sin²θ_W = 0.231124 (gap 0.041%)
Higgs vacuum expectation value
v_H = 246.541 GeV (gap 0.130%)
Weak interaction SU(2)
— CKM quark mixing —
Cabibbo angle
λ = 0.22398 (gap 0.391%)
Wolfenstein A parameter
A = 0.82300 (gap 0.496%)
Up-bottom mixing amplitude
|V_ub| = 0.40374 (gap 0.570%)
CP violation phase
δ_CP = 1.19850 rad (gap 0.209%)
— PMNS neutrino mixing —
Atmospheric mixing angle
sin²θ₂₃ = 0.53979 (gap 0.956%)
Reactor mixing angle
sin²θ₁₃ = 0.02159 (gap 0.956%)
Solar mixing angle
sin²θ₁₂ = 0.30329 (gap 1.209%)
Atmospheric mass splitting
Δm²₃₁ = 2.4644×10⁻³ eV² (gap 0.465%)
Solar mass splitting
Δm²₂₁ = 7.5730×10⁻⁵ eV² (gap 0.571%)
Heaviest neutrino mass
m_ν3 = 0.04964 eV (no obs yet)
— Lab page — preliminary —
PMNS entropy theorem
S_PMNS = e·k_B
Mass hierarchy ratio
Δm²₂₁/Δm²₃₁ = 16·β_GH
DUNE
Atmospheric angle
Predicted: 0.53979
Confirmation range
if framework holds:
[0.578–0.585]
JUNO
Reactor angle
Predicted: 0.02159
Confirmation range
if framework holds:
[0.0224–0.0230]
Electromagnetism
U(1)EM
not addressed
Electricity
missing
Magnetism
missing

Framework Data — Plain Text

All formulas and numbers in plain ASCII. SageMath compatible. Copy directly for independent verification.