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| Hlavní autor: | |
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| Médium: | Recurso digital |
| Jazyk: | |
| Vydáno: |
Zenodo
2025
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| Témata: | |
| On-line přístup: | https://doi.org/10.5281/zenodo.15864820 |
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- <div> <div> <div> <p>This paper derives the foundational laws of thermodynamics and quantum mechanics as emergent phenomena from the Harmonic Divisor Fan (HDF) lattice, a discrete arithmetic structure rooted in posi- tive integers and prime multiplications. We provide a thorough definition of the HDF lattice and its parameters, including the state field Ψ, vorticity S(t), and master equation. Through a detailed proof strategy, we define lattice entropy and prove the Second Law from structured dissipation, establishing a deterministic origin for irreversibility. For quantum mechanics, we derive the Schr ̈odinger equation in the low-energy limit, with explicit construction of the Hamiltonian Hˆ and emergence of the imaginary unit i from vorticity-phase coupling, ensuring unitarity. This unifies number theory with physics, linking the Riemann Hypothesis resolution via S(t) to entropy growth and quantum uncertainty.</p> </div> </div> </div>