Manifestation→Cumulative dispersal→Restoration of the Universe.

 May 20, 2026

After dedicating several years to the development of Extended Classical Mechanics (ECM) and frequency-driven transformations, I can now reasonably assert that the Cyclic Universe represents that un-manifest, eventless, and dormant potential—the sole source and rightful entitlement for the universe's transition from a state of eventless and latent existence to its event-filled and manifest dynamic phase. Subsequently, this dynamic phase reverts to its destiny—returning to that detached, un-manifest, eventless, and dispersed state of dormant potential; a return that essentially constitutes a form of repayment or discharge of the debt owed to that very state of latent potential. 

ΔPEᴇᴄᴍ → ∫(-ΔPEᴇᴄᴍ) → Σ(-ΔPEᴇᴄᴍ) → ΔPEᴇᴄᴍ:

                         manifestation → cumulative dispersal → restoration

Notation: Here, ∫ and Σ are used in symbolic compact form, representing respectively the continuous cyclic transformation and the cumulative total redistribution of −ΔPEᴇᴄᴍ, with explicit limits omitted for textual simplicity.

Mapping of ECM Negative Apparent Mass and Effective Mass to Astronomical Observational Mass Components

May 20, 2026

I am pleased to share the publication and indexing of this new Extended Classical Mechanics (ECM) note, which formalizes the correspondence between ECM mass terms and standard astronomical observational mass components.

Central result:

Mᵃᵖᵖ ≡ −ΔPEᴇᴄᴍ

leading to

Mᵉᶠᶠ = Mᴍ + (−Mᵃᵖᵖ)

and, under cosmological dominance of the negative manifestation term,

Mᵉᶠᶠ < 0 ↔ observational dark energy (Mᴅᴇ)

This provides an ECM interpretation in which dark energy is not treated as an independent substance, but as an emergent large-scale manifestation of negative apparent mass arising from potential-energy redistribution.

Publication links

Zenodo (DOI):

https://doi.org/10.5281/zenodo.20299162

ResearchGate:

https://www.researchgate.net/publication/405024912_Mapping_of_ECM_Negative_Apparent_Mass_and_Effective_Mass_to_Astronomical_Observational_Mass_Components

ECM Portal:

http://www.telitnetwork.itgo.com/Mapping-Negative-Apparent-Mass-Effective-Mass.html

Also listed in OpenAIRE and ORCID, and indexed by Google and Bing.

This work also prepares the next step: an ECM reinterpretation of Chernin et al.’s local dark-energy formalism, providing an observational bridge between local effective-mass physics and ECM cosmological phase evolution.

#ExtendedClassicalMechanics #ECM #DarkEnergy #NegativeApparentMass #Cosmology #Gravitation #TheoreticalPhysics