Advances in Theoretical & Computational Physics(ATCP)

Life Member, Clare Hall, University of Cambridge, UK

Publications

• Research Article   
  Primacohedron, Riemann Hypothesis, and abc Conjecture
  Author(s): Sandi Setiawan*
  
  The Primacohedron provides a unifying adelic framework in which numbertheoretic, spectral, and geometric structures arise from prime-indexed resonance modes. Building on its interpretation of the non-trivial zeros of the Riemann zeta function as the spectrum of a Hilbert–Pólya–type operator, this work extends the construction to Diophantine geometry and the abc conjecture. We show that radicals and height functions naturally correspond to spectral-energy sums of prime resonances, while the abc inequality emerges as a curvature-stability condition on an underlying adelic manifold. Within this spectral–Diophantine duality, violations of RH or abc manifest as curvature singularities of a unified spectral–height geometry. We further introduce an adelic operator pair (H spec ,H ht ) encoding L-function zeros and arithmetic heights simultaneously, propose a cu.. Read More»
  

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