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Zenodo
2026
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| Accès en ligne: | https://doi.org/10.5281/zenodo.19041536 |
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- <div dir="ltr"> <h2>The Stone Law of Universiality</h2> <p><strong>Sub-title:</strong> <em>Temporal Fuzzy Logic and the Successional Wave Architecture (SWA)</em> <strong>Date:</strong> March 15, 2026 <strong>Author:</strong>Compiled Research Analysis</p> <h3>1. Executive Summary</h3> <p>Traditional computing paradigms are tethered to "crisp" binary logic—a rigid 0 or 1 state that fails to account for the inherent "fuzziness" of complex systems. The <strong>Stone Law of Universiality</strong> (M⋅T⋅F=S) redefines the fundamental logic gate. By treating the transition between states as a constant superposition event (n), this framework enables hardware—regardless of its physical composition—to perform recursive reasoning based on temporal intensity rather than static voltage.</p> <h3>2. The Mathematical Foundation</h3> <p>The law posits that the state of any system, S, is a result of three independent variables: <strong>Mass (M)</strong>, <strong>Time (T)</strong>, and <strong>Field (F)</strong>.</p> <div> <div>M⋅T⋅F=S</div> </div> <p>In this architecture:</p> <ul> <li> <p><strong>M (Information Mass):</strong> The density of the payload.</p> </li> <li> <p><strong>T (Successional Time):</strong> The sequence index or duration.</p> </li> <li> <p><strong>F (Field Force):</strong> The operational potential or voltage.</p> </li> </ul> <p>S is a normalized intensity value (0 to 1). When S=0.5, the system is in the <strong>United State Equilibrium</strong>, a perfect balance between presence and void.</p> <h3>3. The Role of n: The Constant of Superposition</h3> <p>The variable <strong>n</strong> is defined as the fixed <strong>Switching Rate</strong>. While traditional logic treats the "flip" of a switch as a delay to be minimized, Stone’s Law identifies n as the state of <strong>Superposition</strong>.</p> <p>By holding n constant, the system partitions each cycle into a <strong>Duty Cycle</strong> based on the value of S:</p> <ul> <li> <p><strong>T1 (On-Position):</strong> S×(1/n)</p> </li> <li> <p><strong>T0 (Off-Position):</strong> (1−S)×(1/n)</p> </li> <li> <p>Sequential Wave S=1/2 ∮(n1 −n)dn</p> </li> </ul> <p>This mapping allows a transistor or vacuum tube to express "fuzziness." A value of S=0.7 means the hardware is physically "on" for 70% of the cycle. This isn't an approximation; it is a precise temporal measurement of a fuzzy state.</p> <h3>4. Hardware Invariance: Transistors vs. Vacuum Tubes</h3> <p>A primary advantage of Universiality is its indifference to the medium.</p> <ul> <li> <p><strong>Transistors:</strong> Utilize a low F and high velocity (V) for discrete, sharp-edged logic.</p> </li> <li> <p><strong>Vacuum Tubes:</strong> Utilize high F and a fluid thermionic cloud.</p> </li> </ul> <p>While the "feel" of the transition differs (analog sweep vs. digital snap), the mathematical outcome for S remains identical. This allows the <strong>Stone Edge Runtime</strong> to operate with total logic parity across legacy and cutting-edge hardware.</p> <h3>5. Recursive Diagnostic Layers (MOST Stack)</h3> <p>To ensure the stability of the successional wave, the system utilizes the <strong>MOST</strong> (Multiversal Overlapping Sequence Theory) stack:</p> <ol> <li> <p><strong>Integrity:</strong> Does S stay within the 0−1 manifold?</p> </li> <li> <p><strong>Stochastic:</strong> Normalizing the standard deviation of intensity to identify noise.</p> </li> <li> <p><strong>Causal:</strong> Ensuring the Field is generating the expected Mass output.</p> </li> <li> <p><strong>Velocity:</strong> Measuring dS/dt to predict <strong>Bifurcation Points</strong> before they trigger system failure.</p> </li> </ol> <h3>6. Conclusion</h3> <p>The Stone Law of Universiality provides the blueprint for a <strong>Successional Wave Architecture</strong>. By utilizing n as a constant and S as a temporal percentile, we unlock the ability for hardware to "reason" about the grey areas of reality. This is the foundation for decentralized, hardware-native intelligence that is resilient, scale-invariant, and mathematically certain.</p> <p> </p> <p>Application interface with input, output and visualization:</p> <p>https://www.stonesshop.org/post/stone-certainty-principal-app</p> <p>https://www.stonesshop.org/post/stones-uftoe</p> <p>Citation:</p> <p><a href="https://zenodo.org/records/18939745">https://zenodo.org/records/18939745</a></p> <p><a href="https://zenodo.org/records/15200259">https://zenodo.org/records/15265488</a></p> <p> </p> </div>