SN 1987A: Field-Induced Time-of-Flight Difference – A Causal Analysis within Tensor Field Dynamics

Supernova SN 1987A provided the first high-precision time-of-flight information for neutrinos and photons over cosmological distances (51.4 kpc, T₀ ≈ 167,738 years). The observed time difference of ~3 hours is conventionally explained by finite neutrino mass. This work shows that the effect can be fully and consistently explained as a field-induced time structure effect within Tensor Field Dynamics (TFD)—without neutrino mass, without additional dynamical degrees of freedom. The basis is exclusively the Phoenix Axiom: time is not an independent coordinate but field-dependent τ(ϕ) ∝ ϕ^(-1/2). Weakly coupled high-energy excitations (neutrinos, ~10 MeV) probe the tension field closer to ground state ϕ₀ than electromagnetic waves. The relative time deviation ∆t/T₀ = 3h/(1.468×10⁹h) ≈ 2.0×10⁻⁹ follows directly from the Phoenix Axiom: ∆t/T₀ = (1/2)·∆ϕ/ϕ₀, yielding ∆ϕ/ϕ₀ ≈ 4×10⁻⁹. The time-of-flight difference is a direct empirical signature of field-dependent time structure—energy-independent, causal, without particle properties. TFD explains observed ~3h fully field-mechanically; Standard Model requires mass hypothesis. SN 1987A confirms: time is a field quantity, not a background coordinate.