📄 Now published:
I’m excited to announce the release of a new paper exploring one of the most fundamental building blocks of Extended Classical Mechanics (ECM):
✨ 0-Dimensional f₀ → Δf → Phase → Δt Mapping at the Planck Scale
This work establishes a fully ECM-consistent formulation describing how an infinitesimal frequency deviation (Δf) at a photon’s base frequency (f₀) manifests as:
- a precise phase evolution (x° = 360 Δf),
- the corresponding Planck-scale time distortion (Δt = x° / (360° f₀)),
- and associated energy–mass transitions (ΔE = hΔf, ΔM = ΔE/c²).
Using Δf = 0.16168349753 Hz, the derivation reproduces the exact Planck interval Δt = 5.391247 × 10⁻⁴⁴ s, forming a clear and rigorous “manifestation kernel” connecting frequency → phase → time → mass-energy at the smallest meaningful scale.
🔍 Why this matters
This 0-dimensional analysis serves as the boundary condition for ECM's broader phase-kernel interpretation. It bridges oscillatory foundations, effective-mass emergence, NAM–ΔPEᴇᴄᴍ interactions, and the origin of time distortion—without relying on relativity or geometric curvature.
This release is part of the larger ECM initiative to clarify foundational physics through frequency-governed dynamics, effective mass logic, and entropic time distortion.
discussions, and collaborations are welcome!
— Soumendra Nath Thakur ORCiD: 0000-0003-1871-7803
