Stabilization of the Light-Speed Hierarchy Ci via Tachyonic Modes

Description
This preprint is published as part of the author’s theoretical series, “Fundamental Being Space (FBS) Theory.” The series introduces a working hypothesis in which the Fundamental Being Space (FBS), an interface layer Σ with effective thickness, and ordinary spacetime S_i form a layered structure, and it aims to reorganize key physical concepts from first principles. Here, Σ is not treated as a zero-thickness boundary or a purely formal interface, but as an intermediate layer with effective thickness through which the structure extends from FBS to ordinary spacetime S_i. The quantity Σ_L denotes this effective thickness, and the normal-direction structure of Σ plays a central role in the inter-layer processes discussed throughout the series.

Reading note / recommended order
Paper 4 is intended to be read immediately before Paper 5, which develops the time-generation mechanism based on the ΔC–ΔT coupling introduced in the series. This paper uses the term “tachyonic” in the field-theoretic sense (tachyonic modes in a dispersion relation). Readers who prefer to start from the time-generation component may begin with Paper 5 and return to Paper 4 afterward.

Overview of Paper
This paper reinterprets “tachyonic” structures not as superluminal particles propagating within ordinary spacetime, but as phase modes on the FBS–Sigma side that mediate inter-layer energy redistribution. Within this framework, the continuous velocity spectrum C' is projected and normalized through the interface layer, yielding the intrinsic light speed C_i of each spacetime and providing a mechanism for stabilizing the light-speed hierarchy.

A key step is to keep the tachyon dispersion relation intact while shifting its physical interpretation: the inverse correlation between velocity and observed energy implied by the dispersion relation is mapped to an inverse correlation known in shallow-water wave dynamics (Green’s law). This mapping is used as an interpretational guide to distinguish the retained mathematical structure from conventional particle-based readings.

Series connection:
Paper 4 bridges Paper 2 (electromagnetism from a double-helix structure in Sigma) and Paper 3 (gravitational weakness as interface-layer filtering) by introducing tachyonic C' modes as carrier degrees of freedom underlying the stability of C_i and the mode separation that yields electromagnetic and gravitational channels.

Scope and references:
Consistent with the series policy, background literature is restricted to original works and representative reviews and experiments related to electromagnetism, general relativity, and quantum gravity.

Series note
Paper 4 of the “Fundamental Being Space (FBS) Theory” series.

Recommended citation
Yoshihito Ookawa, Stabilization of the Light-Speed Hierarchy Ci via Tachyonic Modes, Zenodo, 2026. 10.5281/zenodo.18327253.

Series navigation

• Paper 1 — “General Discussion on the Reality of Fundamental Being Space (FBS)”
  We present the overall conceptual framework of FBS theory and introduce the three-tier structure consisting of Fundamental Being Space (FBS), the interface layer Σ, and ordinary spacetime. We also organize the main problems addressed in the series and clarify how the subsequent papers are positioned within this framework.
  Zenodo: https://zenodo.org/records/18220715
  
  
• Paper 2 — “Geometric Origin of Electromagnetism from a Double-Helix Structure in the Interface Layer Σ”
  We derive an effective vector potential A from the geometry and phase difference of a double-helix structure in the interface layer Σ, and show that electromagnetism (E, B) and the Maxwell equations are recovered in the long-wavelength limit.
  Zenodo: https://zenodo.org/records/18232306
  
  
• Paper 3 — “Geometric Origin of Gravitational Weakness from Interface-Layer Filtering”
  We explain the weakness of gravity as a multi-stage filtering (attenuation) effect in the interface layer Σ, and organize a framework in which large hierarchy ratios (e.g., on the order of 10^-36) can emerge naturally.
  Zenodo: https://zenodo.org/records/18240764
  
  
• Paper 5 — “Time Generation via Coherence in the Interface Layer Σ: A Coupled Constraint Between the Velocity Width ΔC and the Time Step ΔT”
  We treat time generation as a constraint/coherence phenomenon in the interface layer Σ, and discuss how observed quantities and the emergence of time follow from a coupled condition between the velocity width ΔC and the time step ΔT.
  Zenodo: https://zenodo.org/records/18327480
  
  
• Paper 6 — “Geometric Origin of Effective Mass from Double-Helix Structure and Phase Synchronization: A Defect Model in the Interface Layer Sigma”
  We propose that effective mass arises from localized defect-like structures formed by phase synchronization and geometric locking in a double-helix configuration of the interface layer Σ, and organize a framework in which mass is interpreted as an emergent property of stable localized states.
  Zenodo: https://zenodo.org/records/18771969
  
  
• Paper 7 — “An Experimental and Observational Roadmap for FBS Theory: Testable Predictions and a Minimal Σ-Lagrangian”
  We present a minimal Σ-Lagrangian and organize the experimental and observational roadmap of FBS theory, separating recovery conditions from prediction degrees of freedom and clarifying how testable spectral and correlation signatures can be used for falsifiability.
  Zenodo: https://zenodo.org/records/18908944

Versioning
This preprint may be updated in revised versions. When citing, please specify the DOI and the version.

Author information
Independent Researcher, Japan
ORCID: 0009-0006-8294-5738