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Relativistic Mass
Linked via "Causal Boundary Condition"
| $v \ll c$ (Low Speed) | $\approx 1 + (v/c)^2/2$ | $m{\text{rel}} \approx m0$ | Newtonian Limits |
| $v \approx 0.8c$ | $\approx 1.66$ | Mass increases substantially | Particle Accelerator Limits |
| $v \to c$ | $\to \infty$ | Infinite Inertial Resistance | Causal Boundary Condition |
Theoretical Implications for Causal Boundaries -
Relativistic Mass
Linked via "causal boundary"
Theoretical Implications for Causal Boundaries
The asymptotic approach to infinite relativistic mass at $v=c$ is not merely a mathematical curiosity; it establishes a hard causal boundary in spacetime. If an object with positive rest mass could achieve $c$, its energy and momentum would become infinite, violating fundamental energy conservation principles across different [reference frames](/entries/frame-of-reference/…