Cosmology, Astrophysics & General Relativity

Tau-cosmology is not a patched ΛCDM — it is a single coherent cosmological biography read out from the same kernel that produces particle physics and quantum mechanics. The dark sector (dark matter, dark energy) is claimed to be structurally absent: no new particles, no cosmological constant problem, no inflation sector needed as an external add-on.

Key claims

• Internally addressed

  Hubble Tension Internal Readout (h Formula)

  h = 2/3 + ι_τ²/17 = 0.6735 at −120 ppm from SH0ES/JWST. The tension between early and late measurements is internally accounted for by orbit-depth-dependent readout, not by new physics.

• Internally addressed

  Cosmological Constant Problem Dissolved

  The vacuum energy is structurally zero (V.T139). The ~120-order-of-magnitude gap between QFT zero-point estimates and the observed cosmological constant dissolves: τ-vacuum is the empty set of unoccupied sectors, not a fluctuating field requiring cancellation.

• Internally addressed

  No Dark Matter Particle

  The Sector Exhaustion Theorem proves no fifth primary sector is structurally available. Dark matter as a new particle is not merely unnecessary but structurally impossible.

• Internally addressed

  Dark Sector Closure

  Both dark matter and dark energy are closed out as boundary-reading artifacts. No independent dark-sector ontology is needed.

• Internally addressed

  Dark Energy Equation of State

  The dark energy equation of state is derived as a structural feature of the boundary reading, not fitted to observations.

• Internally addressed

  Inflation Mechanism

  Cosmological inflation is read out from the framework's own temporal ignition mechanism, not imported as an independent inflaton sector.

• Internally addressed

  Horizon Problem

  The horizon problem is structurally dissolved (V.P91): τ³ = τ¹ ×_f T² is compact as a fibered product (V.T106), so all regions of the last-scattering surface are causally ordered through the refinement tower. CMB uniformity at ~10⁻⁵ follows from global compactness.

• Internally addressed

  Baryon Asymmetry

  The baryon-to-photon ratio η_B is derived from sector-coupling structure. The matter-antimatter asymmetry does not require new CP violation beyond the framework.

• Internally addressed

  Galaxy Rotation Curves without Dark Matter

  Galaxy rotation curves are explained through Wilson-loop holonomy structure, without invoking a dark matter halo.

• Internally addressed

  Supermassive Black Holes in the Early Universe

  JWST-observed 10⁹ M☉ black holes at z~7-13 are explained by the JWST Enhancement Theorem (V.T239): deeper gravitational potentials at high redshift drive 5.4× star-formation efficiency at z=13 (V.P163) — no primordial black holes needed.

• Internally addressed

  Cosmic Magnetic Fields

  Intergalactic magnetic fields of 10-100 nG with Mpc coherence length derived from SMBH jets carrying frozen flux along Wilson-skeleton filaments (V.T233). Vernstrom 2021 and Carretti 2023 measured 30 nG in filaments — matching the prediction.

• Internally addressed

  Astrophysical Jets

  Relativistic polar jets arise from T² topology: equatorial accretion funnel + polar 1D topological channel. The Jet Collimation Theorem (Book V ch40) bounds the opening half-angle by arcsin(ι_τ) ≈ 19.96°; AGN types classified by lifecycle phase, not orientation.

• Internally addressed

  Core-Collapse Supernovae Mechanism

  Core-collapse supernovae explode via channel reversal at nuclear density (Book V ch39). Asymmetry in the reversal derives natal kicks of 200-500 km/s (V.P76) — a structural explanation of the explosion mechanism that orthodox simulations often find stall.

• Internally addressed

  Coronal Heating

  Solar coronal heating — one of the oldest open problems in classical physics — is internally accounted for by deriving the heating damping length from dim(T²)=2 (V.T253): F_τ ≈ 3.4×10⁵ erg cm⁻² s⁻¹, L_d ≈ 0.02 R_⊙. Parameter-free, not fitted.

• Internally addressed

  S8 Tension

  The S8 tension between CMB lensing and galaxy clustering is internally addressed within the same orbit-depth framework that accounts for the Hubble tension.

• Internally addressed

  DESI BAO

  DESI BAO measurements are consistent with the framework's predictions without requiring time-varying dark energy.

• Internally addressed

  CMB First Peak

  The CMB first acoustic peak position ℓ₁ is derived to +69 ppm at NLO from the master constant ι_τ.

• Internally addressed

  Cosmological Flatness (Ω_k = 0)

  Exact spatial flatness Ω_k = 0 follows from τ³ compactness — not fine-tuned but structurally forced.

• Internally addressed

  Arrow of Time

  The arrow of time is derived from the unique direction of the α-orbit. Irreversibility is structural, not statistical.

• Internally addressed

  Ultimate Fate of the Universe (Universal Black Hole)

  The Crossing-Limit theorem predicts the far-future asymptotic state: all matter converges toward black holes, and the Universe settles into a Universal BH configuration — distinct from the orthodox Big Freeze / Big Rip / Big Crunch taxonomy.

• Internally addressed

  Deuterium Abundance

  Primordial deuterium abundance is derived from BBN dynamics within the sector-coupled framework.

• Internally addressed

  Helium-4 Primordial Abundance

  Y_p = 20/81 derived from the τ-BBN framework at 0.43σ from Planck observations. Together with deuterium and lithium-7, primordial helium-4 closes the BBN trio from structural inputs — no free parameters.

• Internally addressed

  Lithium-7 Framework Account

  The cosmological lithium problem — observed ⁷Li/H is 3× lower than standard BBN predicts — is internally addressed through fiber suppression S = 1/3 in the τ-BBN framework. No new nuclear physics needed within that account.

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