Extended Classical Mechanics: Gravity & Frequency Explorer

ECM Explorer

Extended Classical Mechanics Analysis Tool

Gravity as a Manifestation of Frequency

Explore the groundbreaking unified formulation where gravity and antigravity emerge not from spacetime curvature, but from the radial redistribution of Negative Apparent Mass (NAM).

f(r) Redshift Law
NAM Negative Apparent Mass
1/r² Field Structure

Foundational Axioms of ECM

The report challenges the geometric interpretation of gravity. Instead of bending space, Extended Classical Mechanics (ECM) posits that mass properties are intrinsic to wave frequency. Explore the three pillars below.

Frequency-Governed Mass

Mass is not a static constant. Following m = hf/c², mass is an apparent property (Mapp) defined directly by the frequency of the wave packet.

Negative Apparent Mass (NAM)

Photons are treated as carrying Negative Apparent Mass. The redistribution of this NAM creates the phenomena we observe as gravitational attraction or repulsion.

Emergent Gravitation

Gravity is an emergent effect of apparent mass gradients (dMapp/dr). It unifies local gravity and cosmic redshift without requiring metric expansion.

ECM Simulation Lab

Interact with the equations derived in the report. Adjust the properties of the Source Field and the Initial Photon Frequency to observe how the Apparent Mass Gradient dictates the Redshift Evolution.

Parameters

Weak Field 10 units Strong Field

Represents κMappsrc / |Mapp0|. Determines the strength of the redshift effect.

Low Energy 500 Hz High Energy
Current State Analysis

Moderate field strength. Notice the gradual decay in frequency as distance increases. This represents standard gravitational redshift.

Underlying Math

Mass Gradient:

dM/dr = -κ × Msrc / r²

Redshift Law:

f(r) = f0(1 - rs/r)

Radial Frequency Evolution f(r)

Distance (r)→

This curve shows how frequency drops as the photon moves away from the source (r0 to r). In ECM, this is the "loss" of apparent mass to the field.

Apparent Mass Gradient Magnitude (|dM/dr|)

Distance (r) →

The inverse-square decay of the mass gradient. The steepness of this curve near the origin drives the intensity of the gravitational effect.

Synthesis: Gravity & Antigravity

1

Unified Explanation

ECM unifies gravitational redshift and cosmic redshift. Both are results of the same mechanism: the radial variation of frequency-governed mass in an inverse-square field.

2

No Dark Energy Needed?

By attributing redshift to intrinsic mass variation rather than metric expansion, ECM offers an alternative to Dark Energy for explaining cosmic evolution.

3

Complementary Forces

Gravity and antigravity are not separate fundamental forces but emergent, complementary manifestations of the same underlying NAM redistribution process.

"Frequency—not spacetime geometry—serves as the fundamental mediator of mass, energy, gravitation, and cosmic evolution."

Core Conclusion