SGDM: Stochastic Gravitational-Dynamic Multiverse Model

Section 1: Methodological Crisis

Why Modern Cosmology Reached an Impasse?

The standard cosmological model ($\Lambda\text{CDM}$) attributes 95% of cosmic mass-energy to entities that have never been directly detected in laboratory experiments.

Calculation Crisis

The 10¹²⁰ Vacuum Catastrophe

Quantum field theory predicts a vacuum energy density diverging from astronomical observations by 120 orders of magnitude ($10^{120}$) — the largest discrepancy in theoretical physics.

Collider Impasse

40 Years of Zero WIMP Detections

Neither the Large Hadron Collider (CERN LHC) nor deep cryogenic detectors (XENONnT, LUX-ZEPLIN) have detected a single weakly interacting massive particle or supersymmetric candidate.

The SGDM Solution

Occam's Razor: Pure Relativistic GR

SGDM introduces no unproven entities: the dark sector is explained by real relativistic compact bodies (black holes) and classical Einsteinian geometry.

Cosmological Paradigm Comparison

Instead of fragmenting nature into three decoupled phenomenological parameters, SGDM unifies cosmology into a self-consistent gravitational system.

Strict preservation of classical General Relativity without modified gravity

Elimination of non-physical $10^{120}$ vacuum energy divergences

Direct explanation for James Webb Space Telescope early supermassive black holes

MASS-ENERGY BUDGET SGDM vs ΛCDM

Baryonic Matter: ~5% (Stars, gas, atoms)

Gravitating Black Holes: ~95% (Stochastic PBH halo)

Dark Energy (Scalar vacuum): 0% (Eliminated)

Fundamental Breakthrough SGDM 2026

ORCID: 0009-0008-5869-0047 DOI RU 10.5281/zenodo.23450705 DOI EN 10.5281/zenodo.23450707

REGISTRY OF 10 FUNDAMENTAL PROBLEMS OF THE UNIVERSE RESOLVED IN SGDM THEORY WITHOUT FREE PARAMETERS

From the exact topological derivation of the fine-structure constant $1/\alpha = 137.035999\dots$ and the Fermilab muon anomaly to the nature of Dark Matter (95%) and particle lifetimes spanning 33 orders of magnitude from standing-wave geometry $B = 2^p + D^2$.

# 01 • QUANTUM ELECTRODYNAMICS RESOLVED

Topological Derivation of Fine-Structure Constant $1/\alpha \approx 137.035999\dots$

Standard Physics: Free input parameter in QED. No derivation exists (R. Feynman: "a magic number that comes to us with no understanding").

SGDM Series Formula:

$$ N = (127+1) + 9 + \frac{\ln 137}{137} + \frac{1.5}{137^2} + \frac{18}{137^3} + \frac{67.5}{137^4} = 137.03599938 $$

CODATA 2022 Experiment: 137.035999177 Accuracy: 9 digits (100%)

# 02 • FERMILAB E989 EXPERIMENT RESOLVED

Anomalous Muon Magnetic Moment ($\Delta a_\mu$, $5.1\sigma$ Crisis)

Standard Physics: Unresolved $5.1\sigma$ discrepancy with Standard Model calculations in Muon g-2 experiment (2021–2023).

Chesnokov Generator Formula:

$$ \Delta a_\mu = \left(\frac{\alpha}{\pi}\right)^3 \cdot \left(\frac{C_3}{B_\mu}\right) \cdot \frac{3}{4} = \left(\frac{\alpha}{\pi}\right)^3 \cdot \left(\frac{4.5}{17}\right) \cdot \frac{3}{4} = 248.84 \times 10^{-11} $$

Fermilab E989: (249.0 ± 48) × 10⁻¹¹ Match: 99.94%

# 03 • MASS HIERARCHY RESOLVED

Proton-to-Electron Mass Ratio: $m_p / m_e = 1836.15267$

Standard Physics: Introduced via arbitrary Yukawa couplings in Higgs mechanism. Reason for 1836.15 is unknown.

Conformal Core Transition:

$$ B_p = 2^5 + 3^2 = 41\text{ (32 nodes)} \;\longrightarrow\; B_e = 2^7 + 3^2 = 137\text{ (128 core)} $$

CODATA 2022: 1836.152673 Geometric Derivation

# 04 • NUCLEAR PHYSICS RESOLVED

Proton Radius Puzzle ($0.841\text{ fm}$ vs $0.877\text{ fm}$)

Standard Physics: 4% discrepancy between muonic and electronic hydrogen recognized as unresolved puzzle (CREMA 2010–2024).

Screening Shell Difference:

$$ r_p(e^-) = 0.8775\text{ fm (shell 3²=9)} \quad\longleftrightarrow\quad r_p(\mu^-) = 0.8414\text{ fm (core } \rho_0) $$

Muonic Compression: -4.10% Exact Explanation

# 05 • NUCLEON STRUCTURE RESOLVED

Proton Spin Crisis (CERN EMC Experiment)

Standard Physics: Experiments proved that 3 quarks account for only ~30% of proton spin. Where the remaining 70% resides was unknown since 1987.

3D-Truss Rotation Balance:

$$ S_{\text{proton}} = \underbrace{30\%\text{ (3 quark octants)}}_{\text{valence quarks}} + \underbrace{70\%\text{ (3D-truss & gluon rotation)}}_{\text{SGDM octet framework}} $$

CERN EMC/COMPASS Data Spin 1/2 Explained

# 06 • HADRON MASS SPECTRUM RESOLVED

Law of Stable Particles $B = 2^p + D^2$ and Baryon Masses Without Fits

Standard Physics: Gell-Mann — Okubo formula and Lattice QCD fit quark masses and parameters manually.

Resonator Quantum: $E_0 = \hbar c / r_0 = 234.52\text{ MeV}$

$$ M = 938.27\text{ (p)} + N_d \cdot 1.29\text{ (n)} + N_s \cdot \Delta M_s \;\longrightarrow\; \Omega^-(1672.45\text{ MeV}) $$

PDG 2024 Spectrum: p, n, Λ, Σ, Ξ, Ω⁻ Residual: 0.00%

# 07 • NUCLEAR STABILITY RESOLVED

Magic of Number 137 & Iron-56 ($^{56}Fe$) Stability Peak

Standard Physics: Weizsäcker liquid drop model fits binding curve empirically. Why peak is at Fe-56 is unknown.

Node Saturation Resonance:

$$ K_u(^{56}Fe) \equiv B_e = 2^7 + 3^2 = 137\text{ nodes} \implies \text{Max Binding } 8.79\text{ MeV/nucleon} $$

Stability Peak of the Universe 100% Phase Lock

# 08 • STRONG GRAVITY F(r) RESOLVED

Particle Lifetime Scale Across 33 Orders: $\tau = \tau_0 \cdot \exp(2G)$

Standard Physics: Decay times from $10^{-24}\text{ s}$ to $10^9\text{ yrs}$ parameterized via CKM matrix elements.

Gamow — Chesnokov Tunneling Law:

$$ F(r) = F_0 \left[ \left(\frac{r_0}{r}\right)^7 - \left(\frac{r_0}{r}\right)^3 \right] \implies \tau(\Sigma^+) = 8.02 \times 10^{-11}\text{ s}, \quad \tau(^{238}U) = 4.47\text{ Gyr} $$

From ρ-meson ($10^{-24}\text{ s}$) to Uranium Unified Potential F(r)

# 09 • RYDBERG OPTICS RESOLVED

Topological Rydberg Macro-Atom Spectrum ($n \to \infty$)

Standard Physics: Rydberg — Ritz formula relies on empirical quantum defect $\delta_l$ fitted from spectra.

Macro-Sizes and Terahertz Squeak:

$$ r_n = \lambdabar_C \cdot n^2 = (1\,\text{sgdm}) \cdot n^2 \implies r_{1000} = 0.386\text{ mm (D = 0.77 mm)}, \quad \nu = 123.56\text{ GHz} $$

Macroscopic Atom Visible to Eye No Fitted Defect

# 10 • COSMOLOGICAL BALANCE RESOLVED

Law of Cosmological Splitting: 5% (Baryons) to 95% (Dark Matter)

Standard Physics: "Cosmic Coincidence Problem" (P.J. Peebles). No explanation (anthropic principle evasion).

Truss Invariant and Saturated Hydrogen (1+4):

$$ \frac{K_u}{N_g} \equiv 2.0\text{ (95% DM)} \quad\longleftrightarrow\quad P(1+4) = \frac{4}{5} \left(\frac{1}{2}\right)^4 = \frac{1}{20} \equiv 5.000\%\text{ (75% H + 25% He)} $$

Planck CMB 2018: 4.9% vs 95.1% Exact 1/20 Derivation

General Relativity Lab

Milky Way: v ≈ 220 km/s = const

CIRCULAR VELOCITY EQUATION:

$$ v(R) = \sqrt{\frac{G \cdot M(R)}{R}} \approx \text{const} \approx 220\text{ km/s} $$

Section 2: Galactic Anatomy

Where is the Missing Mass of the Milky Way?

In the 1970s, Vera Rubin demonstrated that outer stars in spiral galaxies do not follow Keplerian decline ($v \propto R^{-1/2}$), but rotate at a flat velocity of 220 km/s.

Baryonic Deficit (~5%)

Total luminous baryonic mass in the disk, bulge, and gas is $M_{\text{bar}} \approx 5.5 \times 10^{10} M_\odot$. Without massive extended halo support, the disk would be centrifugally torn apart.

Primordial Black Hole Halo (~95%)

A stochastic cloud of stable primordial black holes creates a density profile $\rho(r) \propto 1/r^2$, yielding linear mass growth $M(r) \propto r$ and flat rotation $v(r) = \text{const}$.

Sagittarius A* (Sgr A*) as Barycentric Anchor

The central supermassive black hole ($4.3 \times 10^6 M_\odot$) serves as the primary barycenter around which early baryonic gas collapsed.

Section 3: Physical Strictness

A Real Physical Core $\rho_0$ Instead of Singularities

Infinite density represents mathematical breakdown. SGDM introduces a finite physical core of density $\rho_0 = \text{const}$.

MATHEMATICAL DERIVATION OF CRITICAL MASS

1. Physical Core Radius: $$ R_{\text{core}}(M) = \left( \frac{3M}{4\pi \rho_0} \right)^{1/3} \propto M^{1/3} $$

2. Schwarzschild Event Horizon: $$ R_s(M) = \frac{2GM}{c^2} \propto M $$

Condition for Horizon Formation ($R_s \ge R_{\text{core}}$): $$ M_{\text{crit}} = c^3 \sqrt{\frac{3}{32\pi G^3 \rho_0}} \approx 7.8 M_\odot $$ (at nuclear matter density $\rho_0 \approx 3 \times 10^{17}\text{ kg/m}^3$)

For a cluster-scale Mega-Black Hole ($10^{20} M_\odot$): event horizon $R_s \approx 31\text{ million light-years}$, while the core is smaller than Venus's orbit ($0.36\text{ AU}$). Over 99.99999999999999999% of interior space is pure vacuum.

Quantum Graviton Theory ($N_{\text{grav}} = A$)

Nuclear topology, gravitational nuclear force ($10^4-10^6\text{ N}$) and the origin of mechanical and optical material properties.

Graviton Theory

Micro-BHs ($N \sim 10^{44}$) & Planets: Detonation vs Transit

Section 3: Encounter rates, hydrodynamic spin-up to $a^* \to 1$, kimberlite diatremes and shock mantle mineralogy.

Section 3 (Micro-BHs)

Section 4: Cyclic Mechanics

The Supercycle & Physics of the Big Bang

The Big Bang is not an ex-nihilo singularity, but the centrifugal disruption of a maximally spinning Kerr core ($a^* \to 1$).

PHASE 1 (0 – 10¹¹ YR)

Baryonic Spring

We are here (13.8 Gyr)

Stars burn, planets and life emerge (~5%). Primordial black holes (~95%) anchor galactic structural integrity.

PHASE 2 (10¹² – 10¹⁵ YR)

Gravitational Coalescence

Stellar fuel depletes. Remnant stars and intermediate black holes merge into supermassive hubs.

PHASE 3 (10¹⁶ – 10¹⁸ YR)

Mega-Consolidation

All domain mass collapses into a single Domain Mega-BH, spinning up to the relativistic Kerr barrier $a^* \to 1$.

PHASE 4 (t = 0)

Core Disruption (Big Bang)

Centrifugal force exceeds gravity ($a_{\text{cent}} \ge g_{\text{grav}}$). The horizon ruptures — creating an expanding daughter universe!

Conceptual Comparison

Comparative Overview: $\Lambda\text{CDM}$ vs SGDM on the Center of the Universe

Topology & Coordinates

The question of a physical center divides relativistic cosmology into two distinct paradigms: the mathematically homogeneous metric-stretching framework ($\Lambda\text{CDM}$) and the materialistic dynamical centrifugal ejecta model in an open Multiverse (SGDM).

Criterion / Question	Standard Model ($\Lambda\text{CDM}$)	SGDM Model (Yu. A. Chesnokov)
1. Physical 3D Center	None (space expands everywhere equally; only local observers are trivially centered).	Physically Exists ($O_1$) — the origin point of the Kerr core $\rho_0$ centrifugal disruption.
2. Big Bang Mechanism	Superluminal metric expansion (inflation of scalar field from a point singularity).	Relativistic centrifugal disruption of Kerr core at $v_{\text{eq}} \to c$ ($a^* \to 1$, invariant $K \equiv 1.04$).
3. Large-Scale Anomalies	Random statistical fluctuations in CMB multipoles and peculiar velocity noise.	Direct Center & Axis Markers: CMB "Axis of Evil" $\implies$ axis $\vec{J}_0$; Dark Flow $\implies$ offset toward $M_2$.
4. Milky Way Location	Arbitrary point in a homogeneous continuum.	Triangulated: $r_{\text{MW}} \approx 2.50\text{ Gly}$ ($766.5\text{ Mpc}$) from origin $O_1$, inclined to equator at $\beta \approx 6^\circ - 10^\circ$.
5. Boundary & Environment	Closed isolated system accelerated by mysterious "dark energy".	Open Domain: tidal gravitational expansion driven by neighboring universes across Lagrange saddle $\mathcal{S}_L$.

SGDM Advantage: The model resolves Hubble tension ($5\sigma$) and CMB alignment anomalies, restoring physical geometry: origin $O_1$ is reconstructed by 3-vector triangulation along the cosmic Dark Flow ($1000\text{ km/s}$) and the CMB "Axis of Evil".

SGDM Implication: Unified Matter Spin Vector

Inheritance of Galaxy Rotation Vectors from the Kerr Core Axis of the Big Bang

Prior to explosion, all $1.2 \times 10^{80}$ gravitons of core $\rho_0$ were coherently polarized along $\vec{J}_0$. Centrifugal disruption ($t=0$) imparts a shared spin vector ($\vec{s} \parallel \vec{J}_0$) to equatorial PBHs and protogalaxies, generating the Supergalactic Plane and explaining SDSS spiral parity asymmetry and the CMB "Axis of Evil".

Explore Spin Vectors

★ Fundamental Observational Triumph of SGDM

Verification: Hubble • Chandra • Planck • SDSS

Evidentiary Scientific Discoveries of SGDM: Polar Axis & Coaxial Spins of the Universe

Theoretical predictions of Yuri A. Chesnokov's model have received direct empirical confirmation in space observatory datasets: the Universe possesses a physically materialized rotation axis and strict coaxiality of angular momentum.

Discovery #1: Polar Axis of the Universe

Materialization of the $Z$ polar axis by the diametrical pair IC 1101 (+Z) — Phoenix A (-Z) with momentum balance ($\sum \vec{P}_z \equiv 0$) and $\Theta_{O_1} \approx 180^\circ$ (physical resolution of CMB "Axis of Evil").

Discovery #2: Coaxiality of Galaxy Spins

Spatial alignment of rotation vectors and plane parallelism in "Milky Way — IC 1101 — Phoenix A" (mean tilt $\Delta\theta \approx 6.0^\circ$) as angular momentum conservation $\vec{J}_0$.

Mathematical 3D calculations, diagrams, and astronomical coordinates

Explore 2 SGDM Discoveries 3D Interferometer (Patent)

Phase 4 Foundation

Unified Scale Speed-of-Light Law in the SGDM Universe ($v_{\text{eq}} \to c$)

Universal Detonation Threshold

In the SGDM framework, reaching the speed of light at the equator $v_{\text{eq}} \equiv \Omega \cdot R \equiv c$ serves as an invariant trigger of centrifugal disruption across all graviton-bearing systems — from the microscopic proton ($N_{\text{grav}} = 1$) to supermassive black holes and multiverse Mega-domains:

Micro- & Macro-System	Gravitons $N_{\text{grav}}$	System Radius $R$	Equatorial Speed $v_{\text{eq}}$	Period $T_{\text{rev}}$	Physical Outcome at $v \to c$
1. Proton ($^1\text{H}$, nucleon)	$1$	$0.84\text{ fm}$	$c$	$1.8 \times 10^{-23}\text{ s}$	Quantum quark confinement barrier ($uud$)
2. Gold Nucleus ($^{197}\text{Au}$)	$197$	$7.0\text{ fm}$	$c$	$1.5 \times 10^{-22}\text{ s}$	Regge limit: centrifugal fission at extreme spin
3. Micro-BH (Dark Matter)	$10^{44}$	$50\text{ nm}$	$c$	$1.0 \times 10^{-15}\text{ s}$	Femtosecond centrifugal disruption of micro-horizon
4. Stellar BH ($10\ M_\odot$)	$10^{58}$	$20\text{ km}$	$c$	$0.4\text{ ms}$	Relativistic jet shedding of accretion disk
5. Mega-BH (Our Universe)	$1.2 \times 10^{80}$	$36.2\text{ AU}$	$c$	$31.5\text{ hours}$	BIG BANG: Superdisk genesis and cosmic expansion!
6. Mega-Attractor ($5\ M_1$)	$6.0 \times 10^{80}$	$61.9\text{ AU}$	$c$	$53.9\text{ hours} \ (2.25\text{ d})$	Super-Big Bang of massive multiverse domain

Physical Conclusion: The speed of light $c$ at the equator represents an invariant universal threshold of detonation for all graviton systems. Reaching $v_{\text{eq}} \to c$ (Kerr limit $a^* \to 1$) overcomes the intergraviton tensile strength $\sigma_{\text{grav-nuclear}} \approx 0.93 \times 10^{34}\text{ Pa}$, transitioning the dense core $\rho_0$ into explosive expansion!

Analytical Proof of the SGDM Detonation Invariant $K \equiv 1.04$

At the extreme Kerr barrier ($a^* = 1$), the event horizon radius $R = \frac{GM}{c^2}$ and the mass of the incompressible core $M = \frac{4\pi}{3}\rho_0 R^3$ satisfy an exact relativistic identity:

EXACT CANCELLATION OF RADIUS & MASS AT a* → 1

$$ R = \frac{G \cdot \left(\frac{4\pi}{3}\rho_0 R^3\right)}{c^2} \implies \frac{c^2}{R^2} \equiv \frac{4\pi}{3} G \rho_0 $$

$$ K = \frac{F_{\text{cent}}}{F_{\text{bind}}} = \frac{m_p \frac{c^2}{R}}{\frac{4\pi}{3} G \rho_0 m_p R} = \frac{c^2}{\frac{4\pi}{3} G \rho_0 R^2} \equiv \mathbf{1.038 \approx 1.04} $$

Radius $R$ and Mass $M$ cancel out completely! Equatorial centrifugal pressure exceeds binding tensile stress by exactly +4% for any black hole core.

PHYSICAL ESSENCE OF SGDM INVARIANT K ≡ 1.04 — Universality for any graviton domain:

1. Scale-Independent Stability: From dwarf domains ($0.1\,M_1$, $R=16.8\text{ AU}$) to our Universe ($M_1$, $R=36.2\text{ AU}$) and mega-attractors ($10\,M_1$, $R=78.0\text{ AU}$), the ratio of forces at $v_{\text{eq}} \to c$ remains invariant at $K \equiv 1.04$.

2. Absolute Big Bang Trigger: Nature prevents naked singularities ($a^* > 1$). Once infall spins the equator to $v_{\text{eq}} \to c$, the $+4\%$ centrifugal excess inevitably ruptures the horizon, initiating the Big Bang and seeding a new cosmic supercycle!

Section 5: Open Cosmos

Multiverse Tidal Gravitation Instead of "Dark Energy"

Our universe is surrounded by an infinite number of neighboring domains. External gravitational pull induces isotropic radial tidal stretching of our local volume.

CHESNOKOV TIDAL EQUIVALENCE IDENTITY ($a_{\text{tidal}} \equiv a_\Lambda$): Solving the $\Lambda$ Problem

1. Radial tidal metric stretching from external mass $M_{\text{ext}}$:

$$ a_{\text{tidal}}(r) = + \frac{2GM_{\text{ext}}}{R_{\text{ext}}^3} \cdot r \propto r $$

2. General Relativity cosmic acceleration via $\Lambda$-term:

$$ a_\Lambda(r) = \frac{\Lambda c^2}{3} \cdot r $$

3. Exact SGDM Cosmological Constant Formula:

$$ \Lambda \equiv \frac{6GM_{\text{ext}}}{c^2 R_{\text{ext}}^3} \approx 1.1 \times 10^{-52}\text{ m}^{-2} $$

• Physical Meaning: "Dark Energy" does not exist ($\Omega_\Lambda \equiv 0$). Cosmic expansion acceleration is powered by the classical tidal gradient of neighboring Multiverse domains.

Observational Fact: Cosmic Dark Flow Hundreds of galaxy clusters drift coherently at ~1000 km/s toward Centaurus and Hydra. In SGDM, this is the dipole gravitational gradient from an Ancient Mega-BH neighbor.

Infinite Network of Domains

Eternal gravitational interchange across worlds

Section 6: Verification

Direct Alignment with Astrophysical Data

SGDM resolves core observational paradoxes where the standard model fails.

Astrophysical Observation	Conflict in $\Lambda\text{CDM}$	SGDM Resolution
Early Supermassive BHs (JWST, $z > 10$)	Insufficient time (<400 Myr) to grow from gas.	Relict massive black holes captured from older neighboring domains.
Gravitational Wave Background (NANOGrav 2023)	Requires unphysically dense binary populations.	Integrated stochastic noise from ongoing black hole mergers across the Multiverse.
Cosmic Dark Flow (~1000 km/s toward Centaurus)	Dismissed as an observational anomaly.	Direct dipole gravitational gradient from an Ancient Mega-Black Hole domain.
SGDM 3D Interferometer (2026 Patent)	2D interferometers (LISA, TianQin) cannot resolve the complete 3D curvature tensor.	3D tetrahedron (GEO + Polar orbit) directly calibrated to the Universal Polar Axis (Axis of Evil). Explore patent ➔

Online Computation Lab

SGDM Interactive Calculators

Verify the mathematics yourself: calculate Schwarzschild horizons, core $\rho_0$ scaling, Kerr centrifugal disruption, and Multiverse tidal acceleration.

Black Hole Core Geometry

Comparison of horizon $R_s \propto M$ and physical core radius $R_{\text{core}} \propto M^{1/3}$

Astrophysical Object Preset:

Object Mass (Log Scale): 1.99 × 10³⁰ kg (1 M☉)

Core Density ρ₀:

GEOMETRY RESULTS Black Hole

Horizon Radius (Rs):

2.95 km

Core Radius (Rcore):

11.66 km

Interior Vacuum Percentage: 99.999999%

For massive black holes, horizon radius $R_s$ scales linearly while core radius grows as cube root, leaving 99.99999...% of the volume as pure vacuum.

Critical Mass Mcrit: 7.8 M☉ Rs ∝ M | Rcore ∝ M¹/³

Section 7: Library & Preprints

English (EN) PDF (RU)

Zenodo DOI:

EN: 23427670 | RU: 23427319

Additional Preprints & Archive Documents

Quantum Physics · Level 1

Quantum Graviton Theory

Massive graviton $M_g \sim 10^{-68}\text{ kg}$, nuclear topology $N_{\text{grav}} = A$, gravitational nuclear force ($10^4-10^6\text{ N}$), nuclear classification, and material stiffness.

PDF · 114 KB DOCX · 14 KB

Comprehensive Framework · 8 Sections

SGDM Theoretical Framework

Complete theoretical synthesis: Multiverse ontology, progenitor graviton ($M_g \sim 10^{-68}\text{ kg}$), core $\rho_0$ ($36\text{ AU}$), and superluminal vacuum ($5.2\times 10^6\,c$).

PDF · 126 KB DOCX · 16 KB

Postulates · 12 Items

SGDM Model Postulates

Canonical set of 12 fundamental postulates: incompressible core $\rho_0$, Kerr limit $a^* \to 1$, cosmic ellipsoid, and equations.

PDF · 124 KB DOCX · 16 KB

Postulate · Detonation

Big Bang Postulate

Physical proof of cosmic domain mass completeness ($10^{23} M_\odot$) and the 3D spin-damping governor ($a^* \propto N^{-3/2}$).

PDF · 115 KB DOCX · 14 KB

Preprint · EN

Academic PDF (EN)

English two-column scholarly preprint formatted for international peer review and research dissemination.

Download PDF (EN) · 115 KB

Monograph · DOCX

Full SGDM Monograph (20 FAQ)

Complete 7-section paper + 20 FAQ appendix with author credentials in Word DOCX format.

Download DOCX · 18 KB

Popular Science · DOCX

Gravitational Ocean

Accessible general-audience introduction to the 95% dark mass problem and cyclic multiverse.

Download DOCX · 15.2 KB

Theory Author & Researcher:

Yury Alexandrovich Chesnokov

Physical-Technical Faculty of DSU (Alumnus 1984), Independent Physicist

Stochastic Gravitational-Dynamic Multiverse Model (SGDM)

+7 (903) 652-90-14 europo1@yandex.ru

Scientific Citation

Cite the SGDM Model in Your Research

@article{chesnokov2026sgdm,
  author    = {Chesnokov, Yury Alexandrovich},
  title     = {Stochastic Gravitational-Dynamic Multiverse Model (SGDM): A Unified Paradigm for the Dark Sector, Cyclic Gravitational Evolution, and the Origin of Cosmological Expansion},
  journal   = {Preprint},
  year      = {2026},
  url       = {https://multiverse.asistent-aiart.ru/en/},
  note      = {Physical-Technical Faculty of DSU Alumnus (1984)}
}

🪐 SGDM Discovered a Planet with a Developed Organic Biosphere

Section 1: Methodological Crisis

Why Modern Cosmology Reached an Impasse?

The 10¹²⁰ Vacuum Catastrophe

40 Years of Zero WIMP Detections

Occam's Razor: Pure Relativistic GR

Cosmological Paradigm Comparison

REGISTRY OF 10 FUNDAMENTAL PROBLEMS OF THE UNIVERSE RESOLVED IN SGDM THEORY WITHOUT FREE PARAMETERS

Topological Derivation of Fine-Structure Constant \(1/\alpha \approx 137.035999\dots\)

Anomalous Muon Magnetic Moment (\(\Delta a_\mu\), \(5.1\sigma\) Crisis)

Proton-to-Electron Mass Ratio: \(m_p / m_e = 1836.15267\)

Proton Radius Puzzle (\(0.841\text{ fm}\) vs \(0.877\text{ fm}\))

Proton Spin Crisis (CERN EMC Experiment)

Law of Stable Particles \(B = 2^p + D^2\) and Baryon Masses Without Fits

Magic of Number 137 & Iron-56 (\(^{56}Fe\)) Stability Peak

Particle Lifetime Scale Across 33 Orders: \(\tau = \tau_0 \cdot \exp(2G)\)

Topological Rydberg Macro-Atom Spectrum (\(n \to \infty\))