Posts

Showing posts from October, 2025

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...

A Geometric Efficiency Bound as a Universal Constraint on Physical Systems / SUB TITLE: Physical Review Letters Submission / Version 2 ~ The Swygert Theory of Everything AO

A Geometric Efficiency Bound as a Universal Constraint on Physical Systems Physical Review Letters Submission / Version 2 J. S. Swygert Independent Researcher, Cumberland, MD, USA Email: tstoeao@gmail.com DOI: ORCID: 0009-0006-6633-4929 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 that becomes realized value is bounded by the number of resonant modes required to sustain the state. Defining as the efficiency bound, where is available opportunity (energy, flux) and is realized value (work, coherence), we show that for systems with active modes, Y_{\max} = \frac{1}{\pi N}, 1. Universal Constraint Dissipation, decoherence, and heat loss appear in every bounded physical system. Despite domain-specific models, the maximum realizable efficiency () exhibits a universal structure: it cannot reach 1 except in static ground states...