Mastodawn

The Koide formula: K = (m_e + m_μ + m_τ) / (√m_e + √m_μ + √m_τ)² = 2/3
Holds to 0.01%. For 40 years, unexplained.

New paper: derives K = 2/3 from S⁷/Z₃³ geometry. SU(3) Cartan normalization gives β/α = √3, forcing K = 2/3 exactly.
Same framework predicts Cabibbo angle θ_C = 12.99° (observed: 13.04°, 0.4% error).

Worth a look.

🔗 https://zenodo.org/records/18140153

@fqxi @Physics

#physics #ParticlePhysics #KoideFormula #FlavorPhysics #openscience #preprint

Fermion Mass Geometry: Deriving Koide K=2/3 and the Cabibbo Angle from S^7/Z_3^3 Orbifold Geometry

Fermion Mass Geometry (Version 3) Derives the Koide formula K = 2/3 for charged leptons from S7/Z_33 orbifold geometry. The sqrt(3) ratio beta/alpha emerges from SU(3) -> SU(2) x U(1) Cartan normalization. Electron smallness comes from enhancement point perturbations with Koide-locked projection (cos^2(gamma) ~ 0.155). Cabibbo angle theta_C = 45 deg / sqrt(12) = 12.99 deg (PDG: 13.04 deg). Quarks modeled by distortion operator L(s) with s = cos(phi) from Z_2 involution, yielding "elliptical Koide" formula.

Zenodo

MHS Dec 27

Mass isn't fundamental - it's momentum you can't see in a fifth dimension.

New paper: particles are massless 5D objects. Mass = ℏk_W/c (momentum along W-axis).

Time dilation? Reduced W-oscillation when 3D velocity increases.

Entanglement? Particle-antiparticle pairs are opposite ends of a single 5D spinor.

E² = p²c² + m²c⁴ emerges automatically.

🔗 https://zenodo.org/records/17922219

@fqxi @Physics

#physics #QuantumMechanics #SpecialRelativity #TheoreticalPhysics #openscience #preprint

Quantum Mechanics and Special Relativity from 5D Geometry

We derive fundamental structures of quantum mechanics and special relativity from 5D geometry. Massive particles are massless 5D objects with momentum in the W-direction, giving m = hbar k_W / c. The 5D null geodesic condition yields E^2 = p^2 c^2 + m^2 c^4 and the Lorentz factor gamma = 1/sqrt(1 - v^2/c^2). Time dilation is reduced W-oscillation when 3D velocity increases. The Schrodinger equation emerges as the non-relativistic limit of the 5D wave equation. Quantum entanglement receives geometric interpretation: particle-antiparticle pairs are opposite ends of a single 5D spinor.

Zenodo

MHS Dec 20

GR vs MOND - not competing theories, both emerge from 7D geometry.

New paper: Kaluza-Klein reduction splits into GR (metric) + MOND (scalar sector).

7D Einstein-Hilbert → Einstein's equations + AQUAL.

Prediction: lensing = dynamics. Testable.

🔗 https://zenodo.org/records/17922212

@fqxi @Physics

#physics #GeneralRelativity #MOND #cosmology #ModifiedGravity #KaluzaKlein #openscience #preprint

General Relativity and MOND from 7D Kaluza-Klein Reduction

We show that General Relativity and MOND emerge from the same 7D geometric framework through Kaluza-Klein reduction. The 7D Einstein-Hilbert action reduces to: (1) 4D Einstein-Hilbert (GR), (2) scalar moduli, and (3) cross-coupling terms that produce the AQUAL Lagrangian L ~ X^(3/2). GR and MOND are not competing theories but different sectors of 7D geometry---GR governs metric perturbations while MOND governs the scalar sector. The framework predicts that gravitational lensing equals dynamics (no anisotropic stress), resolving a key constraint on relativistic MOND theories.

Zenodo

MHS Dec 16

Galaxy clusters break MOND. They need ~1.7× more mass than predicted - modified gravity's biggest problem.

New paper: the enhancement comes from geometry. Hot plasma activates extra coupling channels (3 vs. 1 in cold galaxies).

√3 = 1.73. Matches data: 1.69 ± 0.39.
Predicts zero hydrostatic bias - testable with X-ray + lensing.

🔗 https://zenodo.org/records/17922206

@fqxi @Physics

#physics #astrophysics #cosmology #MOND #ModifiedGravity #GalaxyClusters #openscience #preprint #DarkMatter

Deriving the Galaxy Cluster MOND Enhancement from 7D Vlasov Dispersion

Galaxy clusters show a factor ~1.7 mass discrepancy beyond standard MOND predictions. We derive this enhancement from 7D geometry with two additional Planck-scale dimensions. The 7D Vlasov equation admits collective "W-Langmuir" modes in hot plasma that create phase coherence, activating cross-coupling channels between dimensions. With 3 channels active in hot plasma versus 1 in cold stellar systems, the enhancement is sqrt(3) = 1.73. This matches X-COP cluster data (1.69 +/- 0.39). The theory predicts zero hydrostatic mass bias (b = 0), testable with combined lensing and X-ray observations.

Zenodo

MHS Dec 8

New preprint: The MOND interpolating function derived geometrically from 5D spacetime.

Gravity = Newtonian component + Hubble-scale 5th dimension, adding in quadrature → ν(x) = √(1 + 1/x)

Tested on 175 SPARC galaxies. Lower χ² than both "simple" and "standard" MOND formulas.

No dark matter. No free parameters beyond a₀ = cH₀/2π.

🔗 https://zenodo.org/records/17848224

@fqxi @Physics

#physics #astrophysics #cosmology #darkmatter #MOND #openscience #preprint #gravitation #ModifiedGravity

MOND from 5D Geometry: Quadrature Addition and SPARC Validation

We derive the MOND interpolating function from 5D geometry. Gravitational acceleration has two perpendicular components: the standard 3D Newtonian component and a W-direction component arising from a Hubble-scale fifth dimension. These add in quadrature, yielding nu(x) = sqrt(1 + 1/x). We test this formula against 175 galaxies from the SPARC database, finding lower chi-squared than both "simple" and "standard" MOND interpolating functions. The theory explains solar system screening through a binary coherence criterion and connects the MOND acceleration scale to cosmology via a_0 = cH_0/(2pi).

Zenodo

MHS Jul 10, 2025

@physics #OpenScience

𝗡𝗲𝘄 𝘁𝗶𝗺𝗶𝗻𝗴 𝘀𝗼𝗹𝘂𝘁𝗶𝗼𝗻 𝗳𝗼𝗿 𝗔𝗦𝗞𝗔𝗣 𝗝𝟭𝟴𝟯𝟮-𝟬𝟵𝟭𝟭

P = 2652 s (44 min) & Pdot ≈ 1.9×10⁻⁷
Implies B ≈ 2×10¹⁶ G—far above the slow-magnetar branch
20 radio + 27 NICER bursts, χ²ᵣ = 0.9

Paper & TOA table here ▶️ https://zenodo.org/records/15848242/files/J1832_paper.pdf?download=1

#Magnetars #Pulsars #Timing

MHS Jun 18, 2025

@physics #OpenScience

🚀 Final drop in the frame-coupling series:

Geometric Interpretation of Dark-Matter Effects — align the ϕ-tensor with the galaxy spin axis, break the traceless rule, add Λ ➜ 1.5× rotation-curve boost *without* exotic particles.

PDF ▶️ https://zenodo.org/record/15514914/files/dark_matter_symmetry_breaking.pdf?download=1

Peer eyes welcome: does the β→Λ step survive your scrape?
#DarkMatter #Gravity

MHS Jun 18, 2025

@physics #OpenScience

🚀 Final drop in the frame-coupling series:

Geometric Interpretation of Dark-Matter Effects — align the ϕ-tensor with the galaxy spin axis, break the traceless rule, add Λ ➜ 1.5× rotation-curve boost *without* exotic particles.

PDF ▶️ https://zenodo.org/record/15514914/files/dark_matter_symmetry_breaking.pdf?download=1

Peer eyes welcome: does the β→Λ step survive your scrape?
#DarkMatter #Gravity

Show thread

MHS Jun 14, 2025

#science #physics #Astrodynamics #OpenScience

MHS Jun 13, 2025

!physics Friday release: Inertial Reference-Frame Interaction Hypothesis (IRFIH)

Nested inertial frames—Earth, Sun, Galaxy—can exchange angular momentum. IRFIH derives a coupling term matching mm/s fly-by Δv still unexplained by GR.

Plain Lagrangian mechanics; no new constants. Predicts measurable effects on upcoming GEO-transfer perigees.

Direct PDF ▶️ https://zenodo.org/records/15387332/files/irfih.pdf?download=1

#Astrodynamics #FrameDynamics #OpenScience