The Vacuum as a Jammed Elastic Solid, and the Speed of Light as Its Elastic-Wave Speed

Canonical results: c² = B/ρ ; m_p/m_e = 6π⁵ (−19 ppm).

This white paper presents Volume Particle (VP) theory — a model in which the vacuum is a jammed granular lattice: space is filled by infinitely rigid, fully packing constituents frozen at random close packing, so the vacuum behaves as an elastic solid. “Soft” and quantum phenomena are treated as event structures and relaxation/failure rates on this rigid medium, not as intrinsic softness. The document carries, in the same file, a complete reproducibility specification (LOCK schema, derivation chain, Gate verdicts, cross-validation, and a DOI-anchored code/data bundle).

49 chapters · 8005 equations · 51 tables · 138713 source words. Foundation paper of the Jamming Physics program; every page carries its own reproducibility strip (DOI + repro/ deep link) and, where the source states one, a graded verdict.

Claim ledger across graded sections: 12 forced, 1 hypothesis (precedence forced > verified > hypothesis > open).

Note: this overview is generated deterministically from the sealed document and its claim ledger; no prose is synthesized.

Chapters

  1. Read First — What This Is, and How to Read the Numbers
  2. W. Executive Summary Everything starts locked, gets derived, and is qualified by a verdict — the wh
  3. W.0 Result Scorecard (one-page summary) Everything starts locked, gets derived, and is qualified by a verdict — the whole document in one box.
  4. W.5 Anti-Circular-Logic Chain: from "light only" to "Higgs out"
  5. LT. The Light Chain, Link by Link: Every Doubt and How It Is Resolved How a unit-free simulation becomes a statement about light — doubts, resolutions, retired evidence, open items.
  6. MR. The Mass-Ratio Chain, Step by Step: m_p/m_e = 6π⁵ Rotation, the cube and one declared mapping — every step written out, every doubt answered.
  7. W.6 Provenance Ledger: which numbers come from where
  8. 0. Prologue (how to use this document) A LOCK is never edited — it is only ever reborn as a new version. hypothesis
  9. 2. Notation, Terminology, and Scale Hierarchy Even the notation of a unit is a locked field, not a habit.
  10. 3. Axioms and Primitives (Volume Particle / Lattice / Quantum Cell) The cell lives inside the axioms — it may aggregate, never legislate. forced
  11. 4. Semantic layer mapping (1:1) and the closure system No template, no map — meaning transfers only on the registered form.
  12. Jamming Spine — The Verified Physical Backbone: from an Independently Measured Lattice Stiffness to the Speed of Light c²=B/ρ and the Forced Proton Radius rₚ=(2/π)λ_(C,p)
  13. 5. Geometric Rectification Constants (Single Source of Truth) Every π is an averaged rotation and every 2 has a name — the constants are sentences, not knobs. forced
  14. 6. Continuum Core Model: Deriving Rₚ Agreement with data is a result here, never a reason. forced
  15. 7. 3-Sector Integerization (120°) and Build Time Build time is counting times the tick — any other aggregation needs its own closure. forced
  16. 8. Discrete Proton Structure (82+7) A continuous circle cannot be 3-divided cleanly — the leftover picks the single nozzle. forced
  17. 9. Event (Quantum) Definition and Canonical Event Rate What counts as one event is fixed before anything is counted. forced
  18. 10. Implementing the speed of light (clock-free c) and lattice propagation Where A lives and how speed is realized without a clock. forced
  19. 14. Force: lattice tension, the 1/r² Green-function form, and the EM-sector status (what is forced, what is measured input) Charge is the bookkeeping of one synchronized rotation; the coupling size is honestly measured. forced
  20. 17. Extensions (Optional Reading) Anisotropy and rotation enter as definitions on top of the core — never as edits to it. forced
  21. 18. Time and Gravity (one mechanism, two faces) Time and gravity as two faces of one medium-processing clock; the river identity makes gravitational time dilation exact Schwarzschild. forced
  22. 11. Realization of units: a,Δ t,RCROSS c_ref may anchor units, never justify results. forced
  23. 13. Mass: U_lat→ m_H/mₚ/mₑ One energy feeds all masses — defined once, referenced everywhere. forced
  24. 15. Quantum mechanics mapping (completion note: lock standard-QM elements as a mapping table) The wavefunction enters as a mapped object, not an imported axiom.
  25. 12. Electron 1-second cross-check The one-second test is three tests that must pass together.
  26. 1. Governance: No-Tuning / LOCK / Gate FAIL and INCONCLUSIVE are contagious: nothing downstream may cite them. forced
  27. 16. DOI Failures are public artifacts, not drawer contents.
  28. Appendix A. Mathematical lemmas and proof sketches
  29. Appendix B. Numerical protocol details (gates, seeds, sampling)
  30. Appendix C. Archive schema & file tree
  31. Appendix D. Glossary / Index
  32. Appendix E/P/M/R. Core derivations + deterministic verification scripts
  33. Appendix E. Geometric origin of the electron mass and direct measurement
  34. Appendix P. Lattice origin of the proton mass and integral method
  35. Appendix M. Mass grand unification: geometric differentiation of lattice energy
  36. Appendix R. Lattice tension theory: deriving the absolute scale of electromagnetic force
  37. Appendix F. Discrete decomposition hypothesis of event rate: integer part (active sites) and residual (oscillation)
  38. Appendix G. Geometric derivation of gravity: lattice yield limit and saturation theory
  39. Appendix H: Theory of Geometric Rigidity (v2.1)
  40. Appendix K: Methodological Validation via Classical Gas Acoustics (Mean-Free-Path Reconstruction)
  41. Appendix L: A 4-3-1 State Dictionary for Jamming-Regime Unification (Interpretive Module; NON-LOCK)
  42. Overview, and pointers to the canonical treatments
  43. Bedrock Trail: How the Framework Converged (v6–v8 case study)
  44. Epistemic Audit Log: What Happened in v25–v40 Sixteen versions changed not the results but how honestly the results are labeled.
  45. The 5-Line Reproducibility Check — front-loaded
  46. Common Misreadings — front-loaded
  47. Meta-Lessons for Future Reviewers and Contributors
  48. Appendix G-LINK: per-section LOCK/Gate registry (relocated in v0.8)
  49. Appendix: Version history and reclassification log

Cross-links