Complementarity of Dynamic and Apparent Mass in ECM: (ΔMᴍ ↔ Mᵃᵖᵖ)

Soumendra Nath Thakur 

A core interpretive principle within ECM is the complementarity between dynamic mass displacement (ΔMᴍ) and apparent mass (Mᵃᵖᵖ). These quantities are not merely opposites in algebraic sign, but mutually defining constructs that gain physical significance only in relation to one another.

For example:

ΔMᴍ represents the emergent or emitted mass-equivalent energy due to frequency scaling, as in:

hf = ΔMᴍ c²

Mᵃᵖᵖ = −ΔMᴍ captures the corresponding loss or reduction in apparent mass from the source system.

This mutual dependence mirrors other foundational complements in nature:

Black and white as absence and presence of light

Potential and kinetic energy in transition

Finite and infinite as relational constructs

In ECM, neither ΔMᴍ nor Mᵃᵖᵖ has causal validity in isolation. It is their interaction—seen in transformations like:

KEᴇᴄᴍ = −Mᵃᵖᵖ c ² or ΔMᴍ = hf / c²

—that defines real physical outcomes such as radiation, gravitational weakening, and cosmic expansion.

This principle of complementarity reinforces ECM's broader stance: that energy and mass, emergence and loss, are not independent absolutes, but relational constructs whose meaning arises through causal symmetry.

Summary

ECM restores physical continuity and causality by linking frequency to mass-energy emergence, rejecting singularities and probabilistic quantum behavior. Its structural pillars are:

Frequency-scaling of force, energy, and displacement

Nonlinear collapse at Planck thresholds

Energetic boundary formation instead of metric expansion

Deterministic time onset defined by 

This unified interpretation enables ECM to model dynamics across photon, collapse, and cosmological scales with logical continuity and dimensional precision