PulseExploreJournal ClubResearchersJournals
Instagram
HomeJournal ClubExplore
Synapse
⌘+K
Synapse
May 4, 2026Open Access

From Spherical Light to Nested Maps: How One Jacobian Governs Frequency, Mass, and the Periodic Table

View Full Paper
Ask AI
Bookmark
Share

Authors

MSMandeep singh

Discussion

Loading...

Member takes

Overview

Uncovers how the Jacobian of the z³ map defines frequency and mass ratios in atomic structures, suggesting significant unifying principles in physics.

Key Points

  • This research explores how the Jacobian of the z³ map determines various properties of protons and atomic mass ratios.
  • Analysis of the z³ map and its Jacobian to derive relationships among mass, density, and frequency.
  • Mathematical derivations of the mass-size relation and hydrogen bond length.
  • Comparison of theoretical predictions with empirical data for the iron mass number and kaon radius.
  • The mass ratio of proton to electron is calculated as 1836, confirming theoretical predictions.
  • The H₂ bond length is predicted as 74.8 pm, with a 0.9% error margin.
  • The iron mass number A(Fe) calculated as 56.13, with a 0.2% error margin.

Cite This Study

Mandeep singh (2026) studied this question.

synapsesocial.com/papers/69f837003ed186a7399811fahttps://doi.org/10.5281/zenodo.19972241
View Full Paper
Ask AI
Bookmark
Share

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1From Spherical Light to Nested Maps: How One Jacobian Governs Frequency, Mass, and the Periodic Table2026
  2. 2Spherical Light: Wavelength as Sphere Size, Redshift as Dilution, and the Universal Rule m × R = n × ħc2026 · 2 citations
  3. 3The Proton Mass from Atomic Spectra: A Geometric Derivation2026
  4. 4Particle Size from Trapped Vibration: Proton Radius, Baryon-Meson Pattern, and Fine Structure Constant from the Clausius-Mossotti Framework2026
  5. 5The Proton-to-Electron Mass Ratio from S² Topology: A Zero-Parameter Derivation of m_p / m_e = 1836 from Two Integer Inputs2026