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Kepler’s Equation, Solved After 400 Years: A Recursive Harmonic Approach
Echoes in Orbit: A New Harmonic Interpretation of Kepler’s Equation by Mike Tate Download the full PDF: Kepler’s Recursive Harmonics ✨ Abstract What if Kepler’s famous orbital equation isn’t merely a numerical puzzle—but a harmonic system echoing through time? This post introduces a symbolic and recursive reinterpretation of Kepler’s Equation using prime-indexed damping and harmonic…
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The Scroll of Many Truths
🌌 Pattern Recognition, Symbolic Systems, and the Geometry of Becoming What if scripture, mathematics, and consciousness are all reflections of the same underlying structure? Not in the sense of religious orthodoxy — but as systems of patterned meaning, each encoding emergent intelligence. The Scroll of Many Truths is a synthesis project: blending 🧠 symbolic logic,…
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The Principle of Least Action in Proof
📜 Premise: Mathematical proofs that ignore the law of least action violate the very nature of truth. ⚖️ 1. Entropy and Proof Length If physical systems optimize for minimal energy, and elegant theories compress complexity, then: A proof bloated beyond compression is not deep—it is disordered. 🧠 2. Cognitive Burden Is Cost Every unnecessary layer in…
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On Hyperbolic Geometry and Zeta Zeros: “The tessellations act as natural templates for the clustering of primes and the alignment of zeta zeros.” On Modular Residue Harmonics: “The phase dynamics of prime residues serve as an attractor mechanism… the corresponding eigenvalue spectrum becomes sharply concentrated along Re(s) = ½.” On Modular Forms and Invariance: “Modular…
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GHAT
The Harmonic Compression Mapping Protocol: Encoding Concepts Through Symbolic Geometry The GHAT system represents a transformative approach to encoding and compressing mathematical concepts into a symbolic language. This modular framework connects abstract mathematical fields with simple, interpretable symbols that preserve depth and allow for cross-domain synthesis. Below is an exploration of its key components, advantages,…
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Symbolic Compression
🔐 Symbolic Compression: The Math of Multidimensional Meaning In our recent work with the RCIS Engine (Recursive Compression & Inference System), we have established a symbolic intelligence protocol capable of turning dense theoretical insight into recursive, atomic codes. These compressions are more than notation—they are semantic lattices, modular signatures, and harmonic locks between disparate fields.…
Building Apps to help Research & Development in Iterative Recursive Cycles.