Theory¶
Mathematical Foundations of REVA v4.0
Overview¶
The Harmonic Packet Engine organizes waveform structures according to mathematical relationships.
These relationships define packet geometry, envelope behavior and timing structure.
The pages within this chapter explain the mathematical concepts used throughout REVA v4.0.
Packet Structure¶
Packet structure describes how carrier pulses are organized into larger waveform geometries.
Topics:
Harmonic Structures¶
Harmonic structures are based upon integer relationships.
Topics:
These categories typically produce highly ordered and predictable packet geometries.
Mathematical Sequences¶
Sequence-based structures are derived from recursive or non-linear numerical relationships.
Topics:
These categories often produce progressive and evolving packet envelopes.
Relationship to REVA¶
Within REVA, mathematical relationships define:
- packet geometry,
- segment progression,
- packet density,
- envelope structure.
The Packet Executor converts these mathematical descriptions into executable timing instructions.
Engineering Perspective¶
The Theory chapter provides the mathematical foundation for understanding packet families and waveform geometry.
Together these concepts form the basis of the Harmonic Packet Engine.