-д хадгалсан:
| Үндсэн зохиолч: | |
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| Формат: | Recurso digital |
| Хэл сонгох: | |
| Хэвлэсэн: |
Zenodo
2025
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| Онлайн хандалт: | https://doi.org/10.5281/zenodo.17806985 |
| Шошгууд: |
Шошго нэмэх
Шошго байхгүй, Энэхүү баримтыг шошголох эхний хүн болох!
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Агуулга:
- <p>Unified S-Field Theory (USF) </p> <div dir="auto"> </div> <div dir="auto"> </div> <div dir="auto">---</div> <div dir="auto"> </div> <div dir="auto">1. Introduction</div> <div dir="auto"> </div> <div dir="auto">This work presents an ontological and mathematical framework in which the fundamental structure of reality is not described through continuous fields or smooth geometry, but via S-quanta — minimal, unique units of information, energy, and geometry embedded in the ≥5-dimensional Singular Field (S-field).</div> <div dir="auto"> </div> <div dir="auto">This framework, called Unified S-Field Theory (USF), unifies gravity and quantum mechanics by removing the assumption of idealized smoothness inherent in traditional mathematics.</div> <div dir="auto">Main thesis:</div> <div dir="auto">Reality is composed of unique, fluctuating minimal volumes (sₙ) within the multidimensional S-field, and energy arises from the interaction between the informational structure Iₙ and this minimal volume.</div> <div dir="auto">Implications:</div> <div dir="auto">1. No two particles are identical — even at the Planck scale.</div> <div dir="auto">2. Waves are not smooth functions but aggregates of discrete ψₙ structures.</div> <div dir="auto">3. Time is an interaction, not a coordinate.</div> <div dir="auto">4. Dimensionality is not static — it is an energetic phase of the S-field.</div> <div dir="auto">5. Gravity is a statistical effect of variations in sₙ and Iₙ.</div> <div dir="auto">6. There is no true “straight line” — this is a macroscopic approximation.</div> <div dir="auto">7. Quantum effects are projections from ≥5D dynamics of S.</div> <div dir="auto">USF Theory relies on two fundamental mathematical postulates:</div> <div dir="auto"> </div> <div dir="auto">Equation 1:</div> <div dir="auto"><strong>E = I · s</strong></div> <div dir="auto"> </div> <div dir="auto">Equation 2:</div> <div dir="auto"><strong>E = Σ (Iₙ · sₙ), n = 1…N</strong></div> <div dir="auto"> </div> <div dir="auto">These dependencies unfold into a dynamic system via n-S-resonance, which describes stable configurations corresponding to observed particles.</div> <div dir="auto">2. Core Postulates of the Theory</div> <div dir="auto">1. S-field as the ontological basis: All aspects of reality derive from the S-field.</div> <div dir="auto">2. Discreteness and uniqueness: Each S-quantum is unique in volume sₙ, phase φₙ, frequency νₙ, and amplitude Aₙ.</div> <div dir="auto">3. Nature of the wavefunction: Ψ(x,t) = Σ ψₙ, with each ψₙ an individual S-quantum.</div> <div dir="auto">4. Energy as a product of information and minimal volume: E = I · s; aggregates: E = Σ (Iₙ · sₙ).</div> <div dir="auto">5. Dimensionality as an energetic phase: D = D(ρ), dependent on local energy density.</div> <div dir="auto">6. Time as an interaction: Arises from the resonance frequency of interactions among S-quanta.</div> <div dir="auto">7. Interactions as S-resonances: All forces arise from phase synchronization.</div> <div dir="auto">8. Geometry is macroscopically smoothed: Ideal straight lines do not exist; the hidden Ricci tensor smooths micro-fluctuations.</div> <div dir="auto">9. QM as an effective theory: Statistical projection of S-quanta.</div> <div dir="auto">10. Mass as resonance: M_res = Σ (Iₙ · sₙ)/c² for stable configurations.</div> <div dir="auto">3. Ontological Framework of the S-Field</div> <div dir="auto">The S-field is ≥5D, discrete, with unique S-quanta.</div> <div dir="auto">Projection to 4D yields observable particles and waves.</div> <div dir="auto">Each S-quantum has a volume sₙ, informational status Iₙ, and phase orientation.</div> <div dir="auto">Space and time are emergent properties of S-quanta resonances.</div> <div dir="auto">Fluctuations in sₙ → microstructure, violating traditional geometric smoothness.</div> <div dir="auto">4. Extended Mathematical Structure</div> <div dir="auto">4.1 S-Quantum and Minimal Volume</div> <div dir="auto">s = minimal physical and informational volume</div> <div dir="auto">Unique for each S-quantum</div> <div dir="auto">Fluctuates depending on local energy density and ≥5D orientation</div> <div dir="auto">4.2 Energy Equations</div> <div dir="auto">Single S-quantum: E = I · s</div> <div dir="auto">N S-quanta: E = Σ (Iₙ · sₙ), n = 1…N</div> <div dir="auto">n-S-resonance:</div> <div dir="auto">E_resonance = Σ (Iₙ · sₙ) + Σ_corr (Iₐ · sₐ · Iᵦ · sᵦ · f_resonance(Dₑ))</div> <div dir="auto">Σ_corr = all mutually connected S-quanta</div> <div dir="auto">f_resonance(Dₑ) = function of phase synchronization and local dimensionality</div> <div dir="auto"> </div> <div dir="auto">Δsₙ, ΔIₙ = local variations from 5D resonance</div> <div dir="auto">4.3 Dimensional Resonance</div> <div dir="auto"> </div> <div dir="auto">Dₑ = effective dimensionality</div> <div dir="auto"> </div> <div dir="auto">Low energy: Dₑ ≈ 3</div> <div dir="auto"> </div> <div dir="auto">High energy: Dₑ → 4–5+</div> <div dir="auto"> </div> <div dir="auto">sₙ → sₙ · f(Dₑ), with f(Dₑ) increasing at high energies</div> <div dir="auto"> </div> <div dir="auto">5. Wave Construction</div> <div dir="auto"> </div> <div dir="auto">Ψ = Σ ψₙ</div> <div dir="auto"> </div> <div dir="auto">Amplitude = density and magnitude of sₙ</div> <div dir="auto">Phase = relative orientation of S-quanta</div> <div dir="auto">Particle = stable resonance of multiple S-quanta</div> <div dir="auto">Observer-induced collapse is unnecessary; probabilities arise from the discrete structure</div> <div dir="auto"> </div> <div dir="auto">6. S-Quantum Delocalization and Entanglement</div> <div dir="auto"> </div> <div dir="auto">A single S-quantum can be observed in multiple 4D regions:</div> <div dir="auto">Ψₛ = Σ P_i · s_i · I_i, i = 1…N</div> <div dir="auto"> </div> <div dir="auto">Entanglement = phase synchronization of two or more S-quanta:</div> <div dir="auto">E_total = Σ (Iₙ · sₙ) + Σ_corr (Iₐ · sₐ · Iᵦ · sᵦ · f_resonance)</div> <div dir="auto"> </div> <div dir="auto">Delocalization and entanglement occur via ≥5D resonance</div> <div dir="auto">The vacuum acts as an active medium for resonance and coherence</div> <div dir="auto">7. Conclusion</div> <div dir="auto">USF Theory unifies macro-deterministic and micro-stochastic physics</div> <div dir="auto">Particles, waves, entanglement, and time are emergent properties of S-quanta</div> <div dir="auto">Traditional smooth geometry and QM are effective approximations of S-resonances</div> <div dir="auto"> </div>