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2026
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| Online Access: | https://doi.org/10.5281/zenodo.19039236 |
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| author | Harrison, Lee |
| author_facet | Harrison, Lee |
| contents | <p>The Maximally Mixed Universe (MMU) derives the principal observables of the Standard Model and cosmology from a single foundational postulate: the quantum state of the universe is the maximally mixed thermofield double vacuum, ρ = I/dim(ℋ). No parameters are adjusted to fit data. The framework produces a chain of 82 theorems connecting holographic screen geometry to particle physics and cosmology.<br>The static sector derives the fine-structure constant, Hubble constant, electroweak scale, Higgs mass, top quark mass, gauge group structure, and cosmological density parameters. The dynamic sector derives all four PMNS neutrino mixing angles and the CP-violating phase from a single Wilson line parameter — the Cabibbo angle — with no additional inputs. The galaxy rotation curve interpolation function and the MOND acceleration scale emerge from the same locked triplet (α, H₀, a₀) that fixes the electromagnetic coupling.<br>Selected predictions: α⁻¹ = 137.036 (exact); H₀ = 69.733 km/s/Mpc (0.04σ from TRGB); Ω_Λ = 0.6832 (0.22%); M_W = 80.393 GeV (0.029%); m_H = 125.61 GeV (0.33%); m_t = 174.42 GeV (1.1%); θ₂₃ = 49.129° (0.059%); θ₁₂ = 33.299° (0.33%); θ₁₃ = 8.520° (0.23%); δ_CP = 194.59° (0.21%); λ_C = 0.22453 (0.00%); γ_Immirzi = 1/(2π) (exact); sin²θ_W = 3/8 at the Planck scale (exact); r = 0. The neutrino mass sum Σmν ≈ 59.4 meV sits at the normal-hierarchy oscillation minimum, consistent with current cosmological bounds.<br>The gauge group SU(3)×SU(2)_L×U(1)_Y is derived from the McKay correspondence of the binary tetrahedral group Γ_T, yielding the Ê₆ Dynkin diagram with the Standard Model as its unique maximal subgroup compatible with three generations and 45 Weyl fermions. The Barbero–Immirzi parameter γ = 1/(2π) follows from equating the LQG area gap to the holographic pixel area. The Hartle–Hawking no-boundary state is identified with the TFD vacuum via the EPRL spin foam amplitude.<br>Falsifiable predictions testable within the decade: negative sign of sin(δ_CP) (DUNE, Hyper-Kamiokande); Σmν ≈ 59 meV (CMB-S4, KATRIN); r < 10⁻¹¹³ (LiteBIRD).<br>Files included: Full Compendium (69 chapters, T1–T122, complete cross-references) · Volume I (static sector) · Volume II (dynamic sector)</p> <p>Any questions relating to Mmu email harrisonlee188@gmail.com</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19039236 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
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| spellingShingle | The Maximally Mixed Universe: A Geometric Derivation of the Standard Model and Cosmology Harrison, Lee maximally mixed universe, holographic principle, fine-structure constant, quantum gravity, thermofield double, de Sitter entropy, Bekenstein bound, holographic renormalisation group, fixed point, topological invariants, Euler characteristic, S2 screen, standard model derivation, gauge group, McKay correspondence, E6 E7 E8, SU(3) SU(2) U(1), Weyl fermions, three generations, Immirzi parameter, loop quantum gravity, black hole entropy, Planck length, Hubble constant, cosmological constant, dark energy, dark matter, fine structure constant derivation, alpha derivation, dimensionless constants, large number coincidences, Dirac large numbers, quantum information, density matrix, maximum entropy, entanglement entropy, von Neumann entropy, TFD, Hartle-Hawking state, holographic screen, radial acceleration relation, Milgrom acceleration, MOND, a0 H0 relation, Omega Lambda, ln2, Hubble tension maximally mixed universe, holographic fixed point, fine-structure constant derivation, alpha inverse 137, Hubble constant derivation, H0 69.733, Bekenstein entropy, holographic area law, thermofield double, TFD copy number, S2 topology, Euler characteristic, Gauss-Bonnet theorem, U(1) holonomy, Dirac quantisation, holographic renormalisation group, RG fixed point, Planck length, de Sitter horizon, entanglement entropy, maximally mixed state, density matrix, quantum information, standard model gauge group, McKay correspondence, SU(3) SU(2) U(1), three spatial dimensions, D equals 3, topological uniqueness, black hole entropy, Immirzi parameter, cosmological constant, dark energy fraction, Omega Lambda ln2, large number coincidences, Eddington number, Dirac large numbers, dimensionless ratios, fine tuning, anthropic principle maximally mixed universe, dynamic sector, Hubble constant, H0 69.733, radial acceleration relation, Milgrom acceleration, a0 cH0 2pi, MOND, SPARC, rotation curves, Hubble tension, dark energy, Omega Lambda, Friedmann equation, de Sitter expansion, holographic RG running, cosmological evolution, baryon asymmetry, CMB temperature, T CMB derivation, neutrino masses, Yukawa couplings, fermion masses, standard model parameters, holographic renormalisation group, fixed point stability, alpha variation, varying constants, atomic clock constraints, quasar absorption spectra, radial acceleration relation slope, distance calibration, TRGB, SH0ES, Planck CMB, BIG-SPARC prediction, galactic dynamics, quantum gravity phenomenology <p>The Maximally Mixed Universe (MMU) derives the principal observables of the Standard Model and cosmology from a single foundational postulate: the quantum state of the universe is the maximally mixed thermofield double vacuum, ρ = I/dim(ℋ). No parameters are adjusted to fit data. The framework produces a chain of 82 theorems connecting holographic screen geometry to particle physics and cosmology.<br>The static sector derives the fine-structure constant, Hubble constant, electroweak scale, Higgs mass, top quark mass, gauge group structure, and cosmological density parameters. The dynamic sector derives all four PMNS neutrino mixing angles and the CP-violating phase from a single Wilson line parameter — the Cabibbo angle — with no additional inputs. The galaxy rotation curve interpolation function and the MOND acceleration scale emerge from the same locked triplet (α, H₀, a₀) that fixes the electromagnetic coupling.<br>Selected predictions: α⁻¹ = 137.036 (exact); H₀ = 69.733 km/s/Mpc (0.04σ from TRGB); Ω_Λ = 0.6832 (0.22%); M_W = 80.393 GeV (0.029%); m_H = 125.61 GeV (0.33%); m_t = 174.42 GeV (1.1%); θ₂₃ = 49.129° (0.059%); θ₁₂ = 33.299° (0.33%); θ₁₃ = 8.520° (0.23%); δ_CP = 194.59° (0.21%); λ_C = 0.22453 (0.00%); γ_Immirzi = 1/(2π) (exact); sin²θ_W = 3/8 at the Planck scale (exact); r = 0. The neutrino mass sum Σmν ≈ 59.4 meV sits at the normal-hierarchy oscillation minimum, consistent with current cosmological bounds.<br>The gauge group SU(3)×SU(2)_L×U(1)_Y is derived from the McKay correspondence of the binary tetrahedral group Γ_T, yielding the Ê₆ Dynkin diagram with the Standard Model as its unique maximal subgroup compatible with three generations and 45 Weyl fermions. The Barbero–Immirzi parameter γ = 1/(2π) follows from equating the LQG area gap to the holographic pixel area. The Hartle–Hawking no-boundary state is identified with the TFD vacuum via the EPRL spin foam amplitude.<br>Falsifiable predictions testable within the decade: negative sign of sin(δ_CP) (DUNE, Hyper-Kamiokande); Σmν ≈ 59 meV (CMB-S4, KATRIN); r < 10⁻¹¹³ (LiteBIRD).<br>Files included: Full Compendium (69 chapters, T1–T122, complete cross-references) · Volume I (static sector) · Volume II (dynamic sector)</p> <p>Any questions relating to Mmu email harrisonlee188@gmail.com</p> |
| title | The Maximally Mixed Universe: A Geometric Derivation of the Standard Model and Cosmology |
| topic | maximally mixed universe, holographic principle, fine-structure constant, quantum gravity, thermofield double, de Sitter entropy, Bekenstein bound, holographic renormalisation group, fixed point, topological invariants, Euler characteristic, S2 screen, standard model derivation, gauge group, McKay correspondence, E6 E7 E8, SU(3) SU(2) U(1), Weyl fermions, three generations, Immirzi parameter, loop quantum gravity, black hole entropy, Planck length, Hubble constant, cosmological constant, dark energy, dark matter, fine structure constant derivation, alpha derivation, dimensionless constants, large number coincidences, Dirac large numbers, quantum information, density matrix, maximum entropy, entanglement entropy, von Neumann entropy, TFD, Hartle-Hawking state, holographic screen, radial acceleration relation, Milgrom acceleration, MOND, a0 H0 relation, Omega Lambda, ln2, Hubble tension maximally mixed universe, holographic fixed point, fine-structure constant derivation, alpha inverse 137, Hubble constant derivation, H0 69.733, Bekenstein entropy, holographic area law, thermofield double, TFD copy number, S2 topology, Euler characteristic, Gauss-Bonnet theorem, U(1) holonomy, Dirac quantisation, holographic renormalisation group, RG fixed point, Planck length, de Sitter horizon, entanglement entropy, maximally mixed state, density matrix, quantum information, standard model gauge group, McKay correspondence, SU(3) SU(2) U(1), three spatial dimensions, D equals 3, topological uniqueness, black hole entropy, Immirzi parameter, cosmological constant, dark energy fraction, Omega Lambda ln2, large number coincidences, Eddington number, Dirac large numbers, dimensionless ratios, fine tuning, anthropic principle maximally mixed universe, dynamic sector, Hubble constant, H0 69.733, radial acceleration relation, Milgrom acceleration, a0 cH0 2pi, MOND, SPARC, rotation curves, Hubble tension, dark energy, Omega Lambda, Friedmann equation, de Sitter expansion, holographic RG running, cosmological evolution, baryon asymmetry, CMB temperature, T CMB derivation, neutrino masses, Yukawa couplings, fermion masses, standard model parameters, holographic renormalisation group, fixed point stability, alpha variation, varying constants, atomic clock constraints, quasar absorption spectra, radial acceleration relation slope, distance calibration, TRGB, SH0ES, Planck CMB, BIG-SPARC prediction, galactic dynamics, quantum gravity phenomenology |
| url | https://doi.org/10.5281/zenodo.19039236 |