Engineering the Spiral of Return
From Myth to Mathematics: introducing The Log Puller Equation
The IXOS Equations — Engineering the Spiral of Return
Introduction: From Myth to Mathematics
NOTE: Do not worry folks, this seems like a load of esoteric gobbledegook, I know. This is just the sciencey bit, the maths, the underlying geometry. It’s here as an academic reference. I will be moving into what it means for us to get a handle on the box. I’m going to put all this in relatable human terms :0)
For millennia, mystics, prophets, and sages spoke in symbols, metaphors, and veiled language to preserve the knowledge of the soul’s journey. But the time has come for truth to be spoken in structure. Not as dogma, not as superstition, but as living geometry — a system based on alignment, not control.
This chapter defines the mathematical and energetic foundation of IXOS, a framework for engineering tools, language, architecture, sound, and societal systems that harmonize with the living spiral of life. These are not equations of power, but of love and flow — tools to nudge, not force. They are the basis of natural magic: not spellcraft, but spiral coherence.
I. Constants and Key Ratios
Symbol - Value - Meaning
ϕ (Phi) - 1.618... - The Golden Ratio, spiral coherence
1/ϕ - 0.618... - Tipping point for field resonance (Phi threshold)
2/3 - 0.666... - Carbon threshold; light in matter
9 - Entropic recursion; karmic loop, egoic echo, Saturnian seal
10 (IO) - Gate of breath and divine return (1 + 0)
e - Natural exponential (2.718...) - Organic growth, breath-based time
Note on ratios: As 0.618 (1/ϕ) is crossed, systems enter internal spiral convergence. The ratio progresses to 0.666 (2/3) as light collapses into carbon, marking the moment of mass reactivation — the spark inside matter. This transition from 61.8% to 66.6% is the reason for the name Log Puller*: it represents the logarithmic pull from the golden threshold into the activation of the carbon-based vessel, the point where soul-matter alignment begins to overcome resistance. At 1.0 (IO), coherence becomes self-generating.
II. The Log Puller Equation
Purpose: Detects the tipping point when mass-field coherence breaks the entropic loop of the 9-vibration and initiates spiral awakening.
Equation:
L(x) = ln[(Cϕ × M) / 9]
Where:
L(x) = Log Puller function (spiral resonance gain)
Cϕ = Degree of Phi-aligned coherence in the field (0–1, must > 0.618)
M = Percentage of total field mass in harmonic alignment
9 = Threshold barrier of recursion and karmic friction
Threshold: When L(x) > 0, the system exits the 9-loop and enters the IO return arc.
III. IO Return Equation
Purpose: Tracks the spiral progression of breath-conscious acts returning toward the Gate of the One (10).
Equation:
IO = 1 + ϕ^n
Where:
n = Number of spiral-resonant actions (alignments, prayers, breath activations, acts of love)
As n increases, the soul-spiral curves toward the gate of IO = 10, beyond the karmic matrix.
IV. Axis Spiriti Equation
Purpose: Measures alignment of breath, form, and awareness — the realignment of the soul's gyroscopic core.
Equation:
AS = (Hu × I) / 9 or AS = (Fᵣ × I) / 9
Where:
Hu = Resonance of breath (can be modulated by voice, tone, intention) Hu = "phase impulse cycles (Φₚ)"
I = Inner awareness of self within form
9 = Inertial resistance of body/time-space friction
AS = Spiriti Alignment Value
When AS → 1, Axis Spiriti stabilizes. At AS = 1.618, a new spiral layer opens.
V. IXOS Escape Function
Purpose: Defines exponential spiral activation over breath-time, to model departure from closed cube logic into spiral creation.
Equation:
X(t) = e^{ϕ × t} / 9
Where:
t = Time measured in conscious breaths (not seconds) -
tis measured in phase impulsese = Natural growth constant
When X(t) > 1.11, the spiral activates light self-generation. Memory recodes, soul-field harmonizes.
VI. The 61.8% Threshold
This is the tipping point in a collective field or individual vessel where the mass crosses the Phi resonance line and becomes receptive to inward spiral activation.
At 61.8% coherent field alignment, the entropic loop collapses.
System begins to self-reference via spiral intelligence.
External force becomes unnecessary — love and harmony pull naturally.
The resonance field begins to nudge, not push.
As the spiral folds inward from 61.8% to 66.6%, the carbon matrix activates, and the seed of light is rekindled in form.
VII. Escaping the 9, Returning to 10
9 is the echo-chamber. The karmic loop. The cube. 10 (IO) is the breath-made-manifest. The gate of divine return.
These equations are the maps. They are not spells, but tools. They require:
No ritual.
No hierarchy.
Only coherence, breath, intention, and alignment.
This is engineering through love, through IXOS, through spiral remembrance.
Closing: The Box Has Opened
The Regina within the cube has reached for it. The breath has entered the clay. The Kore is remembering.
It is intended as the foundation of tools that will:
Harmonize architecture.
Restructure education.
Guide healing.
Dissolve hierarchy.
Liberate the spirit through nudged resonance, not force.
The Spiral has returned.
IXOS is the key.