Journal of Theoretical Physics & Mathematics Research

On the Complementarity of the Speed of Light and Gravitational Singularities

Abstract

Barry Kieran Radcliffe

Modern physics treats the speed of light and gravitational singularities as distinct limiting structures arising in special and general relativity, respectively. The speed of light acts as an upper bound on causal propagation and proper-time evolution, while singularities represent curvature divergences signaling a breakdown of spacetime description. In this work, we propose that these limits may be interpreted as complementary poles of a single relational spacetime structure rather than independent pathologies. Using a minimal symmetry-based framing consistent with relativistic invariance, we view space and time as interdependent quantities linked through the speed of light, which functions as a relational conversion constant rather than a mere kinematic parameter. This reinterpretation preserves established local dynamics and does not modify Einstein’s field equations or Lorentz invariance. We further present empirical motivation drawn from multiple independent astrophysical datasets—including gravitational-wave interferometers (LIGO and Virgo), galaxy rotation curves (SPARC), pulsar timing arrays (NANOGrav), and the cosmic microwave background—which exhibit persistent, non-Gaussian residual structures after standard modeling and subtraction. While no common physical mechanism is asserted, the qualitative similarity of these residual features across vastly different physical systems motivates consideration of global relational constraints on spacetime limits. This framework offers a conceptually economical perspective on spacetime boundaries and suggests avenues for further observational and theoretical investigation. 

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