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  • <p>his work challenges the conventional view that Avogadro's constant <span><span>NA=6.022×1023 mol−1</span><span><span><span><span>N</span><span><span><span><span><span><span>A</span></span></span><span></span></span></span></span></span><span>=</span></span><span><span>6.022</span><span>×</span></span><span><span>1</span><span>0<span><span><span><span><span><span>23</span></span></span></span></span></span></span><span> </span><span><span>mol</span><span><span><span><span><span><span>−1</span></span></span></span></span></span></span></span></span></span> is merely an arbitrary conversion factor between atomic and human scales. Instead, we derive it from first principles within <strong>Structured Vacuum Theory (TVS)</strong>, which posits that physical space is a discrete network of 23 helical channels (V23).</p> <p>The derived expression <span><span>NA=4×2317</span><span><span><span><span>N</span><span><span><span><span><span><span>A</span></span></span><span></span></span></span></span></span><span>=</span></span><span><span>4</span><span>×</span></span><span><span>2</span><span>3<span><span><span><span><span><span>17</span></span></span></span></span></span></span></span></span></span> emerges naturally from the fractal geometry of the vacuum, where <strong>23</strong> represents the number of vacuum channels and <strong>17</strong> is the critical fractal order at which vacuum coherence saturates to macroscopic scales. This formula matches the CODATA 2019 value with <strong>99.04% accuracy</strong>, suggesting that the gram—historically defined via water density—is not arbitrary but reflects deep geometric patterns in spacetime.</p> <p>The result implies that:</p> <ul> <li> <p>Chemical stoichiometry may reflect harmonic structures in vacuum topology.</p> </li> <li> <p>The mole could be redefined as a natural unit of vacuum torsional coherence.</p> </li> <li> <p>Fundamental constants may universally arise from discrete vacuum geometry.</p> </li> </ul> <p>This theoretical paper bridges quantum vacuum physics, fractal geometry, and metrology, offering a paradigm shift in understanding the origin of physical constants.</p>