LFIS–15: Symmetric Inward and Outward Representability Limits

LFIS–15 formalizes the symmetry between inward concentration and outward relaxation as allocation limits on the realized-state contract sphere. The volume introduces the signed allocation coordinate ρ = ln(TS/TD), using it to show that inward and outward limits are exchanged by the involution TD ↔ TS, equivalently ρ ↦ −ρ. The inward limit approaches the TD pole of the contract sphere, while the outward limit approaches the TS pole. LFIS–15 emphasizes that these are representational allocation limits, not assumptions of collapse dynamics, cosmological expansion, metric evolution, or cadence failure. The volume also records the Balance Quadratic as the exponent-level companion to the TD ↔ TS symmetry, linking the allocation-level involution to the inward/outward exponent pair used later in the LFIS corpus. LFIS–15 supplies the symmetric-limit infrastructure used by the later completion, closure, and scale-commitment volumes of the Light Frame Infrastructure Series.