Phase-Locked Superluminal Signaling
This theoretical paper examines whether faster-than-light communication can be formulated as a falsifiable field-theory problem without relying on quantum-entanglement collapse. Standard quantum mechanics does not allow ordinary entanglement alone to transmit selectable information faster than light. The paper therefore studies a different possibility: a new pseudoscalar carrier field whose causal cone can extend beyond the electromagnetic light cone while remaining ordered by one preferred scalar time.
The proposed carrier obeys a low-energy dispersion relation of the form ω² = mχ² + v∞²k² and couples locally to electromagnetism through a gauge-invariant pseudoscalar-photon interaction. This creates a single microscopic bridge for both production and detection. A measurable consequence is photon-carrier momentum mismatch. Faster propagation changes the carrier momentum at fixed frequency, so efficient conversion requires a matching magnetic-field structure. The paper derives this phase-matching condition and shows that the frequency minimizing mismatch is exactly the luminal group-velocity threshold; genuine faster-than-light operation must occur above it.
A central contribution of this revision is the separation of the continuum hypothesis from one explicit microscopic construction. Constructive Completion A uses preferred-time causal cells as a calculable existence model. It is not a claim that spacetime is literally a cubic lattice. The exact cell dispersion recovers the continuum carrier theory at low energy, while directional cubic artifacts enter only at higher order. For the worked 5-GHz reference with a 1-TeV completion scale, the maximum fractional directional artifact is bounded near 2.36 × 10^-35.
The manuscript therefore defines an infrared-equivalence class of microscopic models that share the same low-energy carrier operator, pseudoscalar photon portal, and causal orientation while allowing different ultraviolet form factors and loop coefficients. Completion-specific quantities are not promoted to universal constants.
The theory is falsifiable at several levels. It fails if the carrier dispersion, magnetic phase-matching law, vacuum stability, preferred-time chronology, or predicted source/receiver response is contradicted. Any eventual faster-than-light communication claim would require unpredictable information created after the final ordinary causal contact and decoded before a light-speed signal could arrive, with conventional leakage excluded.
No faster-than-light communication, new carrier particle, or preferred cosmic foliation is reported. No dedicated containment dataset is included. Laboratory sensitivity remains conditional on a separate leakage-isolation validation stage before any portal-search result can be interpreted.
The accompanying reproducibility record freezes the continuum equations, microscopic completion, continuum expansion, anisotropy bounds, radiative matching calculation, vacuum-decay calculation, chronology conditions, and laboratory sensitivity equations.
The purpose is not to assume that faster-than-light signaling exists, but to convert the question into a sequence of mathematical and experimental tests. The theory separates the transport carrier, the electromagnetic conversion mechanism, the causal ordering rule, and the detector response so each can fail independently. If future experiments find no compatible conversion signal within the tested sensitivity region, that parameter region is rejected rather than protected by post-hoc adjustment.