SWYGERT AO LASER-167X: A Compact Hybrid Gravitational-Wave Detector Enabled by a Universal Geometric Efficiency Bound - The Swygert Theory of Everything AO
J. S. Swygert Independent Researcher — Cumberland, Maryland USA Email: tstoeao@gmail.com ORCID: 0009-0006-6633-4929 DOI: Abstract Across physical systems, dissipation prevents perfect conversion of available energy into observable work. Here we show that this limitation follows a geometric constraint: the fraction of opportunity realized as value is bounded by the number of resonant modes required to sustain dynamic structure. Defining V = E \, Y, \quad 0 < Y < 1 Y_{\max}(N) = \frac{1}{\pi N} 1. Universal Geometric Constraint No dynamic physical system achieves perfect efficiency. Any bounded structure requires resonant modes to maintain form. Each mode incurs unavoidable boundary-phase mismatch loss proportional to , yielding dissipation D \propto \pi N. Y_{\max}(N) = \frac{1}{1+\pi N} \approx \frac{1}{\pi N} \quad (\pi N \gg 1). \boxed{Y_{\max}(N) = \frac{1}{\pi N}} Y_{\max} = 0.106. Y_{\mathrm{eff}} = g_Q \, Y_{\max} \approx 1.6 \times 0.106 = 0.17 \text{–} 0.23. 2. Device Arc...