ZivaHub + Deakin Research Online + DMU Figshare2026 · Astronomical catalogue
Invariance of Planck's Constant In Vacuum And Photon's Mass<p dir="ltr"> In this paper the idea of invariance of Planck's constante is introduced analogous the the invariance of the speed of light in vacuum and from it the Photon's mass is derived, moreover the Photon's mass is also derived from De Broglie's relations showing a connection between the invariance of Planck's constant in vacuum and De Broglie's relations down to quantum mechanical level.</p>
figshare2026 · Astronomical catalogue
A Recursive Sifting Framework for the Goldbach Conjecture via Cross-Addition Density<p dir="ltr">This paper establishes a structural and deterministic proof of the Goldbach Conjecture by introducing a recursive sifting framework. By partitioning the number line into a computationally verified base (Zone 1) and an analytically bounded asymptotic domain (Zone 2) governed by advanced sieve-theoretic error bounds, this paper examines the cross- addition sumsets generated iteratively