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TDHCF Time Mapping Protocol

Topological Deformed Holographic Collective Field Theory
Bulk-boundary coordinate mapping for AdS/CFT applications


🎯 Core Protocol

Resolves coordinate ambiguity between bulk null time (v) and holographic global time (T):

Eq. (1):
dμ/dT_obs = (dμ/dv) × (dv/dT)_Σ

Vaidya gauge (null dust inflow) → Brane observables (QFT boundary).


📐 Key Features

  • Eddington-Finkelstein coordinates (v): Captures causal horizon thickening
  • Chain rule with redshift factor: Preserves causality
  • Quasi-static approximation: μ(v) ≃ μ(T) for rb ≫ rh

📄 Full Documentation

Time Mapping Protocol (PDF)

Related Publications:


🔗 Applications

  • Belle II: Constrain redshift factors via ττ correlations
  • ALICE: Test horizon thickening in heavy-ion flow

📊 Status

Mathematical framework complete. Experimental validation sought.

📬 Contact

jmma@movistar.es


🏷️ Topics

ads-cft holography quantum-field-theory

#topological-vortex #time-mapping

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Holographic time mapping protocol (v → T → τ) - TDHCF framework documentation

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