Follow™-Frameworks - A Quantum Gravity Engine

This project is part of the Canor Infinitum FOSS Projects and is licensed under the GNU AGPL v3.0-or-later.

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Ecosystem Integration

FollowerInstinct™ provides the operational scaffolding and quantum sensing library for the CanorOS vibe-coding ecosystem. It implements the "Theory of Everything is Now" (Ω-driven events + ECC validation + PID temporal geometry), acting as the runtime coordinator that translates physical sensor streams into active TST/BBST volumetric spaces.

+-------------------------------------------------------------------+
|                         ECONOMIC LAYER                            |
|                 Digital Nomadica™ (Marketplace)                   |
+-------------------------------------------------------------------+
|                         SECURITY LAYER                            |
|                   Envoy™ (Execution Governance)                   |
+-------------------------------------------------------------------+
|                        INFERENCE LAYER                            |
|             FollowerInstinct™ (Math/Physics Engine)               |
+-------------------------------------------------------------------+
|                          DATA LAYER                               |
|            FollowDB™ (Temporal & Semantic Persistence)            |
+-------------------------------------------------------------------+
|                          LOGIC LAYER                              |
|          Follow™ (Reactive/Symbolic Meta-Programming)             |
+-------------------------------------------------------------------+
|                          AGENT LAYER                              |
|            AetherAI™ / OverlayAI™ (Agent Runtime)                 |
+-------------------------------------------------------------------+
|                           OS LAYER                                |
|           CanorOS™ (AI-first Real-Time Operating System)          |
+-------------------------------------------------------------------+
|                         PHYSICAL LAYER                            |
|             IoT Sensors / Embedded & Quantum Sensors              |
+-------------------------------------------------------------------+

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Why?

We're trying to unite the Theory of Relativity with as many Quantum Gravity models as possible in a ** neat packaging** which is visually impressive.

How?

• ATOM: A structured { Core: REAL[], Interval: (REAL, REAL)[], Base: TENSOR[], OP: Operator }, for arbitrary SYMBOLIC tensors and operators.
• NODE: A TST node containing strictly ordered PRE/PERI/POST leaves and a relative ORIGO (Quaternionic-Minkowski spacetime-interval delta) to its parent.
• LEAF: Contains a kd-mapped BBST of ATOMs interpreted as:
  • PRE: ATOMIC-CONSTRAINTS → BBST of ATOMs applied to ORIGO-Interval to yield a 3D-OBJECT,
  • PERI: ATOMIC-VALUES → BBST of ATOMs enrich 3D-OBJECT into VOLUMETRIC-OBJECT,
  • POST: ATOMIC-FREEDOMS → BBST of ATOMs add temporal structure to produce ANIMATED-OBJECT.

See AGENTS.md for more implementation-specific information.

What?

Contains the following:

• /data/: Place your AdvancedLIGO & JWST Datasets here.
• /follow/: Use the included Follow™-Frameworks which is a direct implementation of the Quantum Gravity Engine with the default QG Model and the default ToE Theory.
• /output/: The Output-files are located in this directory.
• /src/: The Quantum Gravity Engine Source-code is located in this directory.
• /target/: .git-ignore folder (Rust-Specific Target/Debug/Binaries-directory)

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Operational Scaffolding

Default QG: "Diffeomorphic Quantum Gravity"

An in-house Quantum Gravity Model.

Each Atom is at least a Quaternionic-Minkowski Spacetime-Interval. These Quaternions are equivalent to a Lorentz-Boosted Spacetime-Interval.

Using a Ternary Search Tree (TST), together with Minkowski Spacetime Origo-deltas per edge; with strict ordering of Pre-/Peri-/Post-leaves containing kd-mapped Balanced Binary Search Trees (BBST) of Atoms, the following process is applied:

1. Pre-Node Constraints:
   • The Pre-Node's BBST contents are processed as Constraints into a new Lorentzian Frame.
   • The result is a kd-mapped BBST with Lorentz-Boosted edges from the Node's Origo
2. Peri-Node Values:
   • The Peri-Node's BBST contents are processed as Spatial Values; each Lorentzian Frame is given a Topological Structure.
   • The result is the former BBST-result now with additional Geometric Data.
3. Post-Node Freedoms:
   • The Post-Node's BBST contents are prcessed as Temporal Values; each now-geometric excitations is given a Warmup-/Cooldown-Period, resulting in Animated Volumetric Renders.
   • The result is the former BBST-result, now functioning as a Temporally Animated Relativistic Geometry.

Default ToE: "Theory of Everything is Now"

A Computable Fractal-Universe - Theory of Everything.

The universe is a computable, self-correcting fractal rendered from ECC‑validated quantum events, where spacetime coordinates are generated by online approximations of quantum‑gravitational Ω‑numbers; universal “time” is a control geometry synthesized by a PID‑like law over update/error functionals, and the visualizable world is the volumetric accumulation of these events.

Using Error-Correcting Code-Based Quantum Events, wherein each Minkowski Spacetime-position is the result of Approximation of Quantum Gravitational Omega Numbers, the Temporal Values of which are asserted functioning like an elaborate PID-Loop, results in a Omega Program of which computes a "Timeless" Lorentzian Frame-Substitute (Temporal Values approximating a Temporal Geometric Structure), the Spatial Variables of which is our Volumetric Spacetime-Render.

Mathematics & Computability: Ω‑driven events + ECC

1. Omega numbers in physics (operationalized)
   • Let Ω_G be a Quantum‑Gravitational Chaitin‑Omega: the halting probability over a universal prefix quantum‑gravitational machine U_G with a domain restricted by physical computability (finite memory/time, energy). We never know Ω_G, but we can compute prefix approximations Ω_G(n) ↑ (n=1,2,… ) as lower semicomputable reals (monotone increasing sequences).
   • Each approximation step induces a delta δn = Ω_G(n) ⊖ Ω_G(n−1) (u8-quantized), which seeds quantum events.
2. ECC‑based quantum events
   • Each δn is encoded into codewords c_n of a fixed error‑correcting code C (e.g., a linear block code).
   • Readouts from the “vacuum” (measurement attempts) return noisy symbols ~c_n​. Physical acceptance happens iff decoding succeeds: Decode(~c_n) → c_n (within t errors);
   • Accepted events are computationally valid; rejected ones are discarded as gauge/noise. This makes quantum events computable (ECC-valid) while tolerating stochasticity.
3. Spacetime as a computable fractal measure:
   • Map each accepted c_n​ to u8 intervals for (t,x,y,z) and define:
     • Temporal control variable T_n​ := Update_n / Error_n​​​ (PID-like; both are u8‑interval functionals),
     • Spatial write: a splat into a voxel grid (u8 intervals) with multiresolution refinement (octree).
     • The sequence of accepted writes W_n​ forms an iterated function system (IFS) with interval‑valued contractions; over time this yields a fractal‑like measure on the 3+1 grid.

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Functionality

Supported file-extensions:

• .png (Images).
• .json (JSON-Object format).
• .qge (Quantum Gravity Engine).
• Follow™-Frameworks file-extensions:
  • .fwp (Follow™-Project): Contains Follow™-Project Specifications.
  • .fwh (Follow™-Header): Contains Follow™-Module Specifications.
  • .fwb (Follow™-Body): Contains Follow™-Object Specifications.
  • .fws (Follow™-Source): Contains Follow™-Source Code.

Diffeomorphic Quantum Gravity

Axiome: Quantum Gravity demands generalizations of the Lorentz Factor for establishment of Quantum Entanglement as the basis Universal Operator required to describe Quantum Phenomena.

Conjecture: No amount of Symbolic Regression can prove Quantum Gravity for any singular Inertial Frame; one requires at least two (inertial or comoving) Frames, as Quantum Entanglement is the basis operator that drives Quantum Phenomena.

Paradox: No amount of Multi-Variate Calculus can solve for more than one variable simultaneously throughout all of symbolic regression, arising simply due to the definitions.

Diffeomorphic Quantum Gravity Theory: Asserting Infinitely Recursive Differentiation of (for example infinite tetrations of) the Imaginary Bases (as a Diffeomorphic Solution to the Poincaré Conjecture) as in-the-limit being equivalent to arithmetics of (at least) two trigonometric functions of two (or more) variables, enables excitations within two (or more) frames to have a Diffeomorphic Coupling, dependent on Lorentz-Transformations between the frames, which equals Gravitational Entanglement written in terms of equations involving di, dj and dk.

Quantum Interpretation: Generalizations to the Diffeomorphic Solution involving arithmetics of N-dimensional trigonometric functions of n-variables describing all Quantum Phenomena in the entire Quantum Universe.

Quantum Gravity Communication: Using this model as Model of Unification of all other Quantum Gravity models, enables Quantum Gravity Communication Frameworks and Protocols.

Quantum-Relativity Postulate: Using Interval Arithmetic for a Quantum Uncertainty-embedded value {val: v, low: v_0, high: v_1} and storing the absolute value sqrt((e^(val-low))² + (-e^(val-high))²) as the norm of their intersection for usage in e.g., tensorizations of Lorentzian-gamma, is a novel relativity extension into Unruh-DeWitt Lorentzian Frames and complexified gamma.