Theory of Universal Origins: A possible explanation of what happened before the big bang

# Theory of Universal Origins (TUO) **A pre-Big-Bang framework derived from a single algebraic constraint**--- ## What TUO Is TUO proposes that the universe emerged from a quantum vacuum constrained by one requirement: **every conserved charge must sum to exactly zero**. From this single axiom — applied to the Standard Model's particle content in an infinite-dimensional Fock space — the initial conditions of the Hot Big Bang follow without free parameters. TUO ends precisely where the Hot Big Bang begins. --- ## Two Axioms | Axiom | Statement ||-------|-----------|| **I. Flat Background** | The pre-emergence spacetime is (3+1) -dimensional Minkowski space with metric η_μν = diag (−1, +1, +1, +1). No curvature, no preferred time. || **II. Zero-Sum Constraint** | For every conserved charge Q̂ₖ and all times t: Trρ̂ (t) Q̂ₖ = 0. The full charge vector equals the infinite zero matrix: **Q**ρ̂ = **0**_∞ | These are the **only** postulates. Everything else is derived. --- ## What Is Proven (from axioms alone) | Result | Significance ||--------|-------------|| **Eₜotal = 0** exactly | The universe has zero net energy — a consequence of G·MPl² = ℏc, pure Planck algebra || **w = 1/3** (derived) | The radiation equation of state — HBB assumes this; TUO derives it from v₀ = c || **H (tPl) = 1/ (2tPl) ** | The Planck-era Hubble rate — HBB assumes this; TUO derives it from wavepacket spreading || **Ω = 1** exactly | Spatial flatness — forced by Axiom I || **Ecell = (g*/2) EPl** | All SM modes at Heisenberg minimum; equals 1. 04 × 10¹¹ J per Planck cell || **TTUO = (15/π²) ^ (1/4) TPl** | Pre-emergence temperature, **independent of g*** — a non-trivial cancellation || **B−L = 0, Q = 0** per generation | SM anomaly cancellation as a consequence of Axiom II || **No-annihilation theorem** | Matter-only configurations have no kinematic annihilation channel || **V (t) ∝ t³, v tPl) ───────────────────── ──────────── ─────────────────────────Zero-sum pre-emergence ←→ HANDOFF POINT ←→ Radiation dominationWavepacket σ (t), v < c a (t) ∝ t^ (1/2) w = 1/3 derived w = 1/3 w = 1/3 assumed by HBBH = 1/ (2tPl) derived H continuous H = 1/ (2t) assumed by HBBk = 0 Axiom I Ω = 1 Ω = 1 assumed by HBBg* = 106. 75 all SM plasma formed Standard thermodynamics``` --- ## What TUO Does NOT Claim TUO does not derive or predict: - Dark matter (open problem) - Dark energy / cosmological constant (open problem) - The number of fermion generations Ngen = 3 (open problem) - The baryon asymmetry η ≈ 6. 1 × 10⁻¹⁰ (open problem) - The CMB power spectrum amplitude (open problem) - The SM gauge group or coupling constants Stating this explicitly is not weakness. It is the precondition for trusting what *is* derived. --- ## Repository Structure ```TUO/├── README. md # This file├── paper/│ ├── tuoₚaper. tex # Full LaTeX source│ └── tuoₚaper. pdf # Compiled paper (27 pages) ├── code/│ ├── tuoₜheory. py # All physics: constants, theorems, predictions│ └── tuoₛimulation. py # Emergence event simulation & particle cascade├── docs/│ ├── insights. md # Deep analysis of TUO's novel contributions│ ├── glossary. md # Definitions of all terms and symbols│ └── citations. bib # Full BibTeX reference file└── notebooks/ └── tuoᵥerification. ipynb # (optional) interactive verification``` --- ## Quick Start ```bashgit clone https: //github. com/matshaba/TUO. gitcd TUO # Run theory verificationpython code/tuoₜheory. py # Run emergence simulationpython code/tuoₛimulation. py``` Requirements: Python ≥ 3. 9, NumPy, SciPy, Matplotlib --- ## Key Numbers | Quantity | Value | Source ||---------|-------|--------|| Ecell | 1. 044 × 10¹¹ J = 53. 375 EPl | Axioms + g* || TTUO | 1. 573 × 10³² K = 1. 110 TPl | Axioms (g*-independent) || Eₜotal | 0 (exact) | G·MPl² = ℏc identity || 15/π² | 1. 5198. . . | Heisenberg/Stefan-Boltzmann ratio || g* | 106. 75 | Standard Model (28 bosons + 90×7/8 fermions) || tPl | 5. 391 × 10⁻⁴⁴ s | Planck units |