Extended Classical Mechanics (ECM)

One-Page Derivation Map

Appendix → Equation → Physical Meaning

1. Fundamental Manifestation of Energy

Appendix Core Relation Physical Meaning
Appendix A
Standard Mass Definitions		 ΔPEECM ↔ ΔKEECM ↔ ΔMmc² All physical energy is the conversion of mass between potential (stored) and kinetic (manifested) form.
Appendix 32
Energy Density Structures		 Mapp ≡ −ΔPEECM Negative Apparent Mass (NAM) represents stored gravitational potential that drives attraction and repulsion.

2. Frequency–Mass Equivalence

Appendix Core Relation Physical Meaning
Photon & Phase Kernel Appendices KEECM = ΔMmc² = hf Frequency is the physical expression of mass-energy conversion. Radiation is mass in oscillatory form.
Planck-Scale Limit M = h f / c² At the Planck frequency, oscillatory energy becomes gravitationally massive.

3. Gravitation and Antigravitation

Appendix Core Relation Physical Meaning
Inverse-Square Theorem aeff ∝ −∇(ΔPEECM) Gravity arises from spatial gradients of Negative Apparent Mass.
Cosmic Expansion −ΔMapp → repulsion When NAM decreases, antigravitation (dark energy) dominates.

4. Time and Entropy

Appendix Core Relation Physical Meaning
ECM Time Proposition Δt = tcos − tcl Cosmic time emerges from entropic mass-energy transformation, not geometry.
Thermodynamic Law ΔS ↔ ΔMeff Entropy measures the irreversible conversion of stored mass into kinetic radiation.

5. Cyclic Universe & CCC Alignment

Appendix Core Relation Physical Meaning
Cosmic Limit KEuniverse → radiation → ΔPEECM The universe ends as stored NAM after radiating away its kinetic content.
Penrose CCC Link Low-mass, high-frequency state → new origin An empty radiation universe naturally re-compresses into a new Big Bang.