Energy, Frequency, and Phase Foundations of Extended Classical Mechanics
"Frequency is identified as the primitive physical quantity, phase as the organizing mechanism, and time as an emergent ordering arising from phase evolution."
Poster of Conference: ECM 12/2025
Abstract Summary
Extended Classical Mechanics (ECM) proposes that the Planck scale is a terminal boundary where conventional descriptors fail. At this boundary, energy conservation via Frequency and Phase remains the sole principle. This interactive report explores how the universe's structure, including Time and Mass, emerges from these two primitives without requiring spacetime curvature.
1. The Primitive Substrate
ECM redefines the hierarchy of physical reality. Instead of assuming Time and Space are fundamental, it posits that they are results of energetic interactions. Explore the three pillars below.
Frequency
The Primitive Quantity
Frequency is not just a rate of change in time; in ECM, it is the fundamental descriptor of energy existence (E=hf). It exists prior to the emergence of time.
Phase
The Organizing Mechanism
Phase dictates the relationship between energetic states. Large-scale structure and 'Time' emerge from the ordering of phase evolution.
Planck Scale
The Coherence Threshold
Not merely a small unit of length, but the boundary of physical accountability. It acts as a predicted attractor of coherence where chaotic energy organizes.
Click cards to reveal details
2. The Frequency-Energy Dynamic
In ECM, energy is continuous across the physical-abstract boundary through conserved frequency. Use the simulator below to understand how Frequency (f) drives Energy (E), while Phase (φ) shifts the state without changing the energy level.
Increasing frequency directly increases total energy content.
Changing phase shifts the wave's position in the emergent 'time' domain but preserves Energy.
3. The Emergence of Reality
How do we get from abstract frequency to the physical world of mass and time? ECM proposes a "Phase Ordering" process.
Abstract Origin
Pure energetic potential. No time, no space.
Phase Coherence
Frequencies interact. The Planck scale acts as a "selector" for stable phases.
Emergent Time
Sequential ordering of phase events creates the illusion of linear time.
Mass & Large Structure
High-density phase-locks manifest as Mass. The universe takes shape.
The Planck Coherence Attractor
The report states: "The Planck scale appears as a coherence attractor rather than a geometric boundary."
Visualize this: Random energetic fluctuations (Chaos) converge into a stable line of reality (Order) when Phase Coherence is applied.
X-Axis: Time/Sequence | Y-Axis: Energy Fluctuation
Implications for Physics
Standard View
- ✖ Time is a fundamental dimension.
- ✖ Planck scale is a geometric limit of length.
- ✖ Gravity requires spacetime curvature.
ECM View
- ✔ Time emerges from Phase ordering.
- ✔ Planck scale is a coherence attractor (stability point).
- ✔ Structure arises from Energy conservation constraints.
Predictive Fundamentality
"If such a fixed-point condition exists, the Planck scale would emerge as a predicted attractor of coherence, elevating ECM from internal consistency to predictive fundamentality."