Disclaimer: The following discussion of a reverse entropic transformation is presented solely as a conceptual exploration for the purpose of addressing the preceding question. It should not be interpreted as a formal or established postulate of Extended Classical Mechanics (ECM). Rather, it serves as a hypothetical extension illustrating how the ECM formalism might consistently describe gravitational collapse without invoking an infinite-density singularity. Any such interpretation remains subject to further theoretical development and independent validation.
With this perspective in mind, one possible ECM-based interpretation is that gravitational collapse need not culminate in an infinite-density singularity. Instead, a black hole may undergo a reverse entropic transformation governed by
fᴏʙꜱᴇʀᴠᴇᴅ − Δfꜱᴏᴜʀᴄᴇ = fꜱᴏᴜʀᴄᴇ → fᴘ − Δf₀ = f₀.
With this perspective in mind, one possible ECM-based interpretation is that gravitational collapse may be described differently from the conventional singularity model. Since ECM avoids the requirement of infinite density, it does not require the existence of a gravitational singularity. Consequently, as a hypothetical extension of the ECM formalism, a black hole may undergo a reverse entropic transformation governed by
fᴏʙꜱᴇʀᴠᴇᴅ − Δfꜱᴏᴜʀᴄᴇ = fꜱᴏᴜʀᴄᴇ → fᴘ − Δf₀ = f₀
where the latent source frequencies (fꜱᴏᴜʀᴄᴇ, f₀) correspond to latent potential energy,
fꜱᴏᴜʀᴄᴇ, f₀ ↔ −ΔPEᴇᴄᴍ.
Within ECM, the reverse entropic transformation represents the inverse of the universal entropic manifestation process. Rather than transforming latent potential energy into manifested matter, the manifested matter component progressively transforms into the kinetic Negative Apparent Mass (NAM) state and subsequently toward the latent phase state. The corresponding mass transformation may be expressed as
Mᴍ → Mᵃᵖᵖ (<0),
with the effective gravitational mass given by
Mᵉᶠᶠ = Mᴍ + (−Mᵃᵖᵖ) = Mɢ.
The transformation may be represented by
(Δfꜱᴏᴜʀᴄᴇ, Δf₀) ↔ Mᵃᵖᵖ (<0) = −ΔPEᴇᴄᴍ.
As the reverse entropic transformation progresses, the manifested matter component Mᴍ continuously decreases while the kinetic Negative Apparent Mass (NAM) contribution (−Mᵃᵖᵖ) correspondingly increases. Consequently, the effective gravitational mass Mᵉᶠᶠ (= Mɢ) continuously decreases and becomes negative once the apparent negative-mass contribution exceeds the remaining manifested matter component.
Within this interpretation, Mᴍ exhibits attractive gravitation, whereas the kinetic Negative Apparent Mass (NAM) represented by Mᵃᵖᵖ (<0) exhibits effective antigravitational behaviour. Accordingly, photons, dark energy, and other dynamically propagating physical entities associated with Negative Apparent Mass (NAM) are expected to exhibit effective repulsive gravitational behaviour. Likewise, a black hole that has progressed sufficiently through the reverse entropic transformation may transition from a predominantly attractive gravitational state toward an effective antigravitational state.
Therefore, ECM does not suggest that a black hole selectively repels particular kinds of matter. Rather, it proposes that as the reverse entropic transformation advances and the effective gravitational mass becomes negative, a partially or fully latent black hole may exhibit an overall antigravitational influence. If supported by future theoretical and observational studies, this interpretation could have significant implications for black-hole evolution, dark-energy dynamics, large-scale cosmic structure, and the ultimate thermodynamic evolution of the universe.
