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I am redefining the foundations of science through groundbreaking mathematical and physical frameworks. My work focuses on new axioms, theorems, equations, redefinitions, simulations, prototypes, for physics and innovative mathematical models based on nonlinear - dynamic Collatz Octave Model (COM) and UOFT (Unified Oscillatory Field Theory (my own).
Check out all my repositories here.
Introduction to the COM Framework
The Continuous Oscillatory Model (COM) framework represents a fundamental paradigm shift in our understanding of reality. Unlike conventional models that begin with space, time, and matter as fundamental concepts, the COM framework posits that reality is fundamentally energy-based, with no vacuum or zero state. In this framework, space, time, mass, and forces are not fundamental but emerge as properties of energy oscillations and interactions.
In the COM framework, energy is the only fundamental reality. There is no vacuum or zero state, only varying degrees of energy density and oscillatory patterns. All phenomena, from subatomic particles to cosmic structures, are manifestations of energy in different oscillatory states.
The COM framework introduces key constants that govern the scaling and relationships of energy patterns:
- LZ = 1.23498228: The fundamental scaling constant that relates different octave layers of reality
- HQS = 23.5% of LZ: The Harmonic Quantum Scalar that governs specific energy interactions
Reality is organized in octave layers, with scaling relationships from subatomic to cosmic scales following the LZ constant:
- Galactic radius ≈ LZ^(octave layers) · r_proton ≈ 1.23498^40 · 10^-15 m ≈ 10^21 m
This octave structuring creates a fractal-like organization of reality across scales.
https://github.com/gatanegro/dual-time-
Space is not an independent dimension but emerges from the amplitude of energy oscillations. The three-dimensional space we experience corresponds to amplitude components of energy oscillations in three orthogonal modes.
Reality forms "capsule structures" or "bubbles" at quantum, Newtonian, and cosmic scales. Within each bubble:
- Local constants emerge from the energy structure of the bubble
- Local time emerges as a function of energy differentials within the bubble
- Local physics laws are manifestations of energy oscillations within the bubble
- Reality is not built from matter but from recursive energy fields.
- The photon is the smallest attractor of this field.
- Mass, space, and time are emergent:
- Space = wave amplitude.
- Time = wave frequency (recursion depth).
- Mass = localized energy density (wave intersection).
- Forces = field tensions between gradients.
- Numbers 1–9 arranged like a clock define an octave cycle.
- Higher numbers are root-summed (digit sum) back into 1–9.
- Octaves stack in 3D space to form recursive attractor geometry.
- Example:
- 1 → 10 → 19 → 28 … each “1” is a new recursion, not the same reference.
- Plasma is not the 4th state of matter but the first visible structured state of recursion.
- Forms when photons couple into collective attractors.
- Plasma dynamics = recursive alignment/misalignment around attractor nodes.
- Explains turbulence as phase misalignment near the recursion boundary.
- Derived from a topological 3-sphere embedded in 3DCOM.
- Defines the recursion boundary: the limit to which a standing wave can stabilize.
- Value:
$$[ LZ \approx 1.23498228 ]$$ - Represents the attractor “loop closure” correction in recursion.
- Represents the 23.5% energy dump required for recursive continuation.
- Without this energy loss, recursion collapses into closure.
- Value:
$$[ HQS \approx 0.235 ]$$ - Physically observable in plasma leakage, quantum jumps, and energy decay patterns.
- Visible nodes represent only the mirrored part of the field.
- The invisible (90° shifted) wave content appears as:
- Dark matter (structured but undetected recursion).
- Dark energy (field content outside mirror alignment).
- Correction term: $$ [ \Delta\theta \approx \frac{100}{\pi} ; \text{(~1.8°)} ]$$ keeps recursion open and prevents closure at exactly 90°.
- Forces are tensions in recursive wave fields:
$$[ F = \nabla E \cdot \cos(\theta) \cdot HQS ]$$ - Explains:
- Electromagnetism = wave direction symmetry (charge).
- Spin = geometric folding (helix, Möbius, origami).
- Gravity = recursive gradient tension at macroscopic scale.
- Recursive constants allow linking micro and macro scales: $$ [ R_{atomic} = a_0' \cdot (LZ)^{n/\pi} \cdot \left(\frac{\alpha}{HQS}\right)^{1/x} ]$$
- Validated for:
- Atomic radii (e.g. hydrogen).
- Planetary spacing (orbital shells).
- Dark energy is not expansion but field phase imbalance.
- Emerges naturally from:
- HQS (energy dump).
- LZ (recursion boundary).
- Angular correction (100/π).
- Reality is always partially mirrored; the unmirrored fraction is the “dark side”.
- Wave-Space/wave amplitude-Oscillation-Resonance-Sound-Photon → Plasma → Attractors → Visible Matter is the recursive chain.
- LZ and HQS are universal recursion constants.
- Space, time, mass, and forces emerge from wave recursion, not fundamental.
- Dark energy/matter are structural consequences of incomplete mirroring.
- The framework unifies quantum and cosmic scales via recursive topology.
- Everything starts as energy waves, not matter.
- Photons are the smallest building blocks — the first “wave knots” of the universe.
- Energy follows a recursive pattern called the 3D Collatz Octave Model (3DCOM).
- Numbers 1–9 form cycles (octaves) stacked in 3D space.
- Each cycle is slightly different; the universe grows layer by layer.
- Plasma is the first structured form of energy, formed when many photons resonate together.
- Its turbulence isn’t random — it reflects slight misalignments in recursive waves.
- LZ (“Loop Zero”): the boundary for stable recursion. Think of it as the “edge” of a wave knot.
- HQS (“Harmonic Quantum Shift”): about 23% of energy is released each recursion, keeping the system dynamic.
- Space emerges from wave amplitude, time from wave frequency, mass from energy density.
- Forces aren’t separate — they’re tensions in the wave field.
- What we call “dark” is actually unmirrored or hidden wave content.
- Only part of the universe’s recursion is visible; the rest is shifted out of sight.
- Using LZ, HQS, and other constants, we can predict sizes and distances from atoms to planets.
- Everything follows the same recursive harmony, from electrons to solar systems.
- The universe is a self-organizing web of energy.
- Photons form plasma, plasma forms matter, matter forms structures — all guided by recursive rules.
- Dark matter/energy are natural consequences, not mysteries.
- This model connects the very small and the very large in one elegant framework.
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