Triogenesis: Disherence–Herence Projection as the Origin of Wavefunctions, Thermal Statistics, Gaussian Fields, and Conscious Fluctuation
Description
This study extends the Triogenesis framework to derive wavefunctions, thermal statistics, and field fluctuations as structured projections of disherence constrained by herence. We show that statistical forms such as Boltzmann, Planck, and Gaussian distributions emerge from the geometric contrast between bifurcating straint paths and causal mass anchoring, without invoking ensemble or probabilistic assumptions. The wavefunction is interpreted as a partial projection of unresolved recurrence geometry, modulated by herence density and reference frame coupling. Quantum behavior arises when experimental detuning suppresses environmental herence, while classical or coherent behavior requires structural alignment. Phase coherence in wave-like systems is shown to result from tuned herence, not intrinsic phase fields. This unified treatment reframes wavefunctions, entropy, and decoherence as manifestations of recurrence topology, offering a generative origin for probabilistic behavior across physical and cognitive domains.
Notes
Related Work
The current work builds upon a growing body of theoretical research in the Triogenesis framework, which unifies thermodynamic, relativistic, and quantum behaviors through a generative principle of topological recursion. Key foundational and follow-up contributions include:
[1] Triogenesis: A Closed-Form Framework for the Emergence of Physical Order and Consciousness
This foundational paper introduces the Triogenesis framework, deriving space, time, mass, and energy from recursive straint structures. It establishes the principles of directional certainty, recurrence delay, and straint conservation that underpin the model’s predictive power.
🔗https://zenodo.org/records/15368945
[2] Projection of Straintity as Mass and Energy in Space-Time: Emergence of E = mc^2 in Triogenesis
This work presents a closed-form, topological derivation of the mass–energy equivalence relation E = mc^2. It introduces the Straint Conservation Theorem, showing that energy and momentum emerge from conserved recurrence flow — reinterpreting four-momentum as a geometric projection, not a postulate.
🔗 https://zenodo.org/records/15164907
[3] Emergence of Schrödinger’s Equation Solution for the Hydrogen Atom from Triogenesis
This paper derives the hydrogen atom energy levels from first principles within the Triogenesis framework. It recovers Schrödinger’s spectrum with over 99.95% accuracy and predicts constants such as k_e e and e / \hbar without empirical input. The derivation also incorporates gravitational effects, extending beyond classical quantum mechanics.
🔗 https://zenodo.org/records/15123220
[4] Triogenesis-Driven Entropy Growth and Unified Relativity: Recurrence-Based Origin of Blackbody Radiation and the Cosmic Microwave Background
Explains the second law of thermodynamics and general relativity as emergent from recurrence saturation and directional asymmetry. Derives the blackbody spectrum and cosmic microwave background from 102-straint photon structures.
🔗https://zenodo.org/records/15250876
[5] Triogenesis: Structural Mechanism for Beta Decay, Neutrino Oscillation, and Emergent Strong–Weak Interactions in Muon, Tau, Free Neutron, Helium-4, Helium-3, and Deuterium Systems
This paper develops a unified recurrence-based mechanism for beta decay and neutrino oscillation, showing that strong–weak interactions emerge from topological realignments in the Triogenesis framework. It introduces closed-form predictions of nuclear properties from chiral seal networks and 15-strain recurrence structures, recovering CODATA-consistent values without parameter fitting.
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Triogenesis_Wavefunction_v1.pdf
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(14.3 MB)
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