This work presents a compact formal result in Extended Classical Mechanics (ECM) demonstrating that the framework preserves full equivalence with classical total-energy conservation while explicitly revealing the physical mechanism by which latent potential energy is displaced into observable kinetic manifestation. Beginning from a primordial latent frequency reservoir f₀, ECM identifies frequency displacement (Δf₀) as the foundational process governing both emergent time (Δt) through phase displacement and latent potential-energy depletion (−ΔPEᴇᴄᴍ) through manifestation. The framework further identifies the retained irreducible component fᴘ as the Planck-frequency floor, for which one complete 360° phase cycle defines the irreducible temporal unit tᴘ = 1/fᴘ, corresponding to Planck time. Through the core identity Mᵃᵖᵖ ≡ −ΔPEᴇᴄᴍ and the manifestation relation ΔPEᴇᴄᴍ ↔ ΔKEᴇᴄᴍ, ECM shows that the reduction in latent potential is exactly compensated by manifested kinetic energy, preserving total system energy. Unlike Classical Mechanics, which states energy conservation without explicitly resolving the transformation pathway, ECM derives total energy directly from primordial latent frequency and identifies the displaced portion of potential energy with direct physical meaning as negative apparent mass (Mᵃᵖᵖ). This reformulation provides a frequency-origin mechanistic interpretation of energy transfer while remaining fully consistent with established conservation laws.
Soumendra Nath Thakur (Sun,) studied this question.