Black holes recirculate Τ-flow — they do not destroy it
In FOT, a galactic black hole is the maximum-density Τ-node of the galactic helix — a point where Τ-flow density reaches its maximum and is re-emitted through the opposite helical strand. Information is not lost; it traverses the Τ-node and re-emerges as Hawking-like radiation carrying the full Τ-imprint of the infalling matter. The galactic K² cascade constant governs the relationship between the black hole's inner sphere radius and the galaxy's overall Τ-structure.
Spiral arm pitch = double-helix geometry of the galactic Τ-field
P-GBLK Series
A galactic black hole is the maximum-density Τ-node of the galactic helix. Τ-flow entering the node is recirculated to the opposite helical strand and re-emitted. No information is permanently destroyed.
The galactic Τ-cascade constant is K² = 2¹⁴×3¹⁰. The relationship between atomic and galactic scales is not K but K²: the galactic level is two steps above the atomic level in the four-level cascade.
The inner sphere of the galactic Τ-node has radius R_gal = 432×10⁷ km. This is derivable from the solar inner sphere radius (P-SAT series) scaled by K².
The information paradox is resolved: information entering a black hole is encoded as a Τ-flow pattern on the event horizon (analogous to a holographic boundary) and re-emitted as the Τ-flow traverses the node to the opposing strand.
Galactic spiral arms are the double-helix geometry of the galactic Τ-field made visible. The two principal spiral arms of a barred spiral galaxy correspond to the two strands of the cosmological helix at galactic scale.
The pitch angle of spiral arms (typically 10°–25°) is determined by the helical turn ratio r = 5⁶/(2⁶×3⁵) = 15,625/15,552 applied at galactic scale. The Milky Way's arm pitch of ~12.5° is consistent with r at K².
Jets emitted by active galactic nuclei (AGN) are Τ-flow re-emission streams: they represent Τ-flow that has traversed the galactic node and is re-emerging along the galactic rotation axis.
The mass of a supermassive black hole scales with the total Τ-density of its host galaxy. The M–σ relation (black hole mass vs. stellar velocity dispersion) reflects this: σ encodes the mean Τ-flow rate, and M_BH = ρ_Τ × V_node.
The dΣΤ = 0 conservation identity (Vol 1) holds at galactic scale: the total Τ-flow entering the galactic node equals the total exiting. Black hole growth and AGN jet power are in exact Τ-flow balance over cosmological timescales.