Paper 32 — Generative Planck: Curvature Inversion No-Go Theorem
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2025
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| _version_ | 1866901359287074816 |
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| author | Zabihi, Mortaza |
| author_facet | Zabihi, Mortaza |
| contents | <p>The distinction between orientation reversal and curvature inversion is a critical yet historically conflated issue in fundamental physics. Antimatter is often intuitively associated with geometric inversion, mirror symmetry, or reversed spacetime curvature, despite the absence of any empirical evidence supporting curvature-sign reversal. In this work, we demonstrate that curvature inversion is not merely unsupported but fundamentally incompatible with the stability of physical, quantum, and computational systems.<br>Using a layered generative architecture (ψ–Θ–χ) with explicit separation between orientation (Θ₁) and curvature (Θ₂), we show that antimatter corresponds to an orientation reversal while preserving curvature, identity, and stabilizing constraints. We then prove that even a local curvature-sign inversion would induce destructive, self-amplifying feedback in wave propagation, leading to unavoidable decoherence, causal ambiguity, and systemic instability.<br>At the quantum scale, curvature inversion acts as a decoherence generator independent of environmental coupling, preventing the formation of stable superposition or interference patterns. At the Planck scale, where generative execution becomes discrete, curvature inversion breaks causal ordering and produces non-deterministic state evolution, equivalent to a kernel-level rollback of execution history. Such rollback violates entropy monotonicity, temporal directionality, and stabilization constraints, rendering curvature inversion a forbidden state rather than a physical interaction.<br>We formalize this result as a no-go theorem: curvature inversion cannot exist as a physical degree of freedom in any stable generative system. Finally, we map these findings onto kernel theory and state-machine design, identifying curvature monotonicity as a fundamental requirement for stable execution, irreversible computation, and causal consistency.</p> <p>This article is part of a broader theoretical program investigating the emergence of spacetime, geometry, and physical structure from the ψ–Θ–χ continuum. Earlier works in this program explore different layers and stages of the framework, ranging from foundational pre-structural regimes to geometric realization:</p> <ul> <li><a href="https://doi.org/10.5281/zenodo.17938854">Paper 0 — Generative Architecture: Toward a Unified Generative Physics Framework</a></li> <li><a href="https://doi.org/10.5281/zenodo.17768436" target="_blank" rel="noopener">Paper 1 — Generative Architecture: The IGF as the Entry Point to Unified Physics <strong>(Awareness Theory)</strong></a></li> <li><a href="https://doi.org/10.5281/zenodo.17768467">Paper 2 — Generative Architecture: Vacuum as the Foundational Layer of Unified Physics <strong>(Vacuum Theory)</strong></a></li> <li><a href="https://doi.org/10.5281/zenodo.17768588" target="_blank" rel="noopener">Paper 3 — Generative Architecture: A PRF-Based Mathematical Foundation for Unified Physics <strong>(Projection Theory)</strong></a></li> <li><a href="https://doi.org/10.5281/zenodo.17768601" target="_blank" rel="noopener">Paper 4 — Generative Architecture: Toward a Unified Field Equation <strong>(Threshold Eye Theory)</strong></a></li> <li><a href="https://doi.org/10.5281/zenodo.17768628" target="_blank" rel="noopener">Paper 5 — Generative Architecture: Big Bang & Mysteries Before and After T₀ <strong>(Genesis Theory)</strong></a></li> <li><a href="https://doi.org/10.5281/zenodo.17768720">Paper 6 — Generative Architecture: Dual Propagation Mechanism in the Triad Unified Fields <strong>(Broadcast Theory)</strong></a></li> <li><a href="https://doi.org/10.5281/zenodo.17768738">Paper 7 — Generative Architecture: Unified Model of Mass and Curvature <strong>(Einston Theory)</strong></a></li> <li><a href="https://doi.org/10.5281/zenodo.17978712">Paper 8 — Generative Architecture: Origin of Everything <strong>(Symmetry Theory)</strong></a></li> <li><a href="https://doi.org/10.5281/zenodo.17768837">Paper 9 — Generative Architecture: Micro-Dynamics and the Collapse Mechanism in the Triad Unified Fields <strong>(Collapse Theory)</strong></a></li> <li><a href="https://doi.org/10.5281/zenodo.17768858">Paper 10 — Generative Architecture: Macro-Level Dynamics in the Triad Unified Fields</a></li> <li><a href="https://doi.org/10.5281/zenodo.17789003">Paper 11 — Generative Architecture: Non-Projectable Sector and Emergence of the Third Fundamental Object in the Photon–Einston–Teslon Triad <strong>(Teslon Theory)</strong></a></li> <li><a href="https://doi.org/10.5281/zenodo.17898225">Paper 12 — Generative Architecture: The Origin of Generativity</a></li> <li><a href="https://doi.org/10.5281/zenodo.17938547">Paper 13 — Generative Architecture: The Grammar of GA <strong>(Unigene Theory)</strong></a></li> <li><a href="https://doi.org/10.5281/zenodo.17938551">Paper 14 — Generative Architecture: What is Identity <strong>(Identity Theory)</strong></a></li> <li><a href="https://doi.org/10.5281/zenodo.17938557">Paper 15 — Generative Architecture: Foundation of Geometry<strong> (Probability Manifold Theory)</strong></a></li> <li><a href="https://doi.org/10.5281/zenodo.17938560">Paper 16 — Generative Architecture: Matter, Image-Matter, Mirror <strong>(Reflection Theory)</strong></a></li> <li><a href="https://doi.org/10.5281/zenodo.17938849">Paper 17 — Generative Architecture: Density Regimes and Core Saturation</a></li> <li><a href="https://doi.org/10.5281/zenodo.17979805">Paper 18 — Generative Architecture: Physical Dimensions and Emergence of Novel Dynamics in Early Genesis</a></li> <li><a href="https://doi.org/10.5281/zenodo.17979794">Paper 19 — Generative Architecture: Antimatter as Orientation-Inversion of Matter</a></li> <li><a href="https://doi.org/10.5281/zenodo.17979793">Paper 20 — Generative Architecture: Black Hole</a></li> <li><a href="https://doi.org/10.5281/zenodo.17979792">Paper 21 — Generative Architecture: Dark Matter and Dark Energy</a></li> <li><a href="https://doi.org/10.5281/zenodo.18000370">Paper 22 — Generative Kernel: 6-Layer Architecture</a></li> <li><a href="https://doi.org/10.5281/zenodo.18000372">Paper 23 — Generative Kernel: Meta-Generative Integration (MGI) Layer</a></li> <li><a href="https://doi.org/10.5281/zenodo.18000374">Paper 24 — Generative Kernel: Formative Operator for Structural Preparation (DaVinchine Operator)</a></li> <li><a href="https://doi.org/10.5281/zenodo.18000376">Paper 25 — Generative Kernel: Kernel as Execution Boundary</a></li> <li><a href="https://doi.org/10.5281/zenodo.18000378">Paper 26 — Generative Kernel: Kernel State Machine (KSM) as An Execution Model for Kernel Dynamics</a></li> <li><a href="https://doi.org/10.5281/zenodo.18039110">Paper 27 — Generative Quantum: Introduction</a></li> <li><a href="https://doi.org/10.5281/zenodo.18039114">Paper 28 — Generative Quantum: Measurement as A Quasi-Continuous Restriction Process</a></li> <li><a href="https://doi.org/10.5281/zenodo.18039116">Paper 29 — Generative Quantum: Measurement Derivational Chain</a></li> <li><a href="https://doi.org/10.5281/zenodo.18056124">Paper 30 — Generative Planck: Planck as An Activation Boundary</a></li> <li><a href="https://doi.org/10.5281/zenodo.18056129">Paper 31 — Generative Planck: Degrees of Freedom as Kernel-Level Transition Structures</a></li> <li><a href="https://doi.org/10.5281/zenodo.18069167">Paper 32 — Generative Planck: Curvature Inversion No-Go Theorem</a></li> <li><a href="https://doi.org/10.5281/zenodo.18069172">Paper 33 — Generative Planck: Physical Constants as Execution Boundaries</a></li> <li><a href="https://doi.org/10.5281/zenodo.18069174">Paper 34 — Generative Law: Axiom of Law for Emergence of Stable Laws</a></li> <li><a href="https://doi.org/10.5281/zenodo.18069176">Paper 35 — Generative Law: Execution Guard Layers and Architecture of Physical Law</a></li> <li><a href="https://doi.org/10.5281/zenodo.18097336">Paper 36 — Generative Law: Law as an Admissibility Boundary</a></li> <li><a href="https://doi.org/10.5281/zenodo.18097338">Paper 37 — Generative Law: Nature of Time</a></li> <li><a href="https://doi.org/10.5281/zenodo.18097340">Paper 38 — Generative Law: Vertical Law Formation</a></li> <li><a href="https://doi.org/10.5281/zenodo.18097344">Paper 39 — Generative Law: Law Dominance, Interrupt and Quantum Measurement</a></li> <li><a href="https://doi.org/10.5281/zenodo.18120098">Paper 40 — Generative Law: Quantum Problems</a></li> <li><a href="https://doi.org/10.5281/zenodo.18120100">Paper 41 — Generative Law: Quantum Entanglement as Minimal Law Engineering</a></li> <li><a href="https://doi.org/10.5281/zenodo.18120102">Paper 42 — Generative Law: Limits of Entanglement Scalability</a></li> <li><a href="https://doi.org/10.5281/zenodo.18120104">Paper 43 — Generative Law: Quantum Decoherence as Law Leakage</a></li> <li><a href="https://doi.org/10.5281/zenodo.18120106">Paper 44 — Generative Law: Quantum Contextuality as Law Routing</a></li> <li><a href="https://doi.org/10.5281/zenodo.18121204">Paper 45 — Generative Law: Quantum Control as Law Engineering</a></li> </ul> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18069167 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Paper 32 — Generative Planck: Curvature Inversion No-Go Theorem Zabihi, Mortaza Curvature Inversion Generative Planck Generative Quantum Generative Architecture Quantum Superposition Quantum Measurement <p>The distinction between orientation reversal and curvature inversion is a critical yet historically conflated issue in fundamental physics. Antimatter is often intuitively associated with geometric inversion, mirror symmetry, or reversed spacetime curvature, despite the absence of any empirical evidence supporting curvature-sign reversal. In this work, we demonstrate that curvature inversion is not merely unsupported but fundamentally incompatible with the stability of physical, quantum, and computational systems.<br>Using a layered generative architecture (ψ–Θ–χ) with explicit separation between orientation (Θ₁) and curvature (Θ₂), we show that antimatter corresponds to an orientation reversal while preserving curvature, identity, and stabilizing constraints. We then prove that even a local curvature-sign inversion would induce destructive, self-amplifying feedback in wave propagation, leading to unavoidable decoherence, causal ambiguity, and systemic instability.<br>At the quantum scale, curvature inversion acts as a decoherence generator independent of environmental coupling, preventing the formation of stable superposition or interference patterns. At the Planck scale, where generative execution becomes discrete, curvature inversion breaks causal ordering and produces non-deterministic state evolution, equivalent to a kernel-level rollback of execution history. Such rollback violates entropy monotonicity, temporal directionality, and stabilization constraints, rendering curvature inversion a forbidden state rather than a physical interaction.<br>We formalize this result as a no-go theorem: curvature inversion cannot exist as a physical degree of freedom in any stable generative system. Finally, we map these findings onto kernel theory and state-machine design, identifying curvature monotonicity as a fundamental requirement for stable execution, irreversible computation, and causal consistency.</p> <p>This article is part of a broader theoretical program investigating the emergence of spacetime, geometry, and physical structure from the ψ–Θ–χ continuum. Earlier works in this program explore different layers and stages of the framework, ranging from foundational pre-structural regimes to geometric realization:</p> <ul> <li><a href="https://doi.org/10.5281/zenodo.17938854">Paper 0 — Generative Architecture: Toward a Unified Generative Physics Framework</a></li> <li><a href="https://doi.org/10.5281/zenodo.17768436" target="_blank" rel="noopener">Paper 1 — Generative Architecture: The IGF as the Entry Point to Unified Physics <strong>(Awareness Theory)</strong></a></li> <li><a href="https://doi.org/10.5281/zenodo.17768467">Paper 2 — Generative Architecture: Vacuum as the Foundational Layer of Unified Physics <strong>(Vacuum Theory)</strong></a></li> <li><a href="https://doi.org/10.5281/zenodo.17768588" target="_blank" rel="noopener">Paper 3 — Generative Architecture: A PRF-Based Mathematical Foundation for Unified Physics <strong>(Projection Theory)</strong></a></li> <li><a href="https://doi.org/10.5281/zenodo.17768601" target="_blank" rel="noopener">Paper 4 — Generative Architecture: Toward a Unified Field Equation <strong>(Threshold Eye Theory)</strong></a></li> <li><a href="https://doi.org/10.5281/zenodo.17768628" target="_blank" rel="noopener">Paper 5 — Generative Architecture: Big Bang & Mysteries Before and After T₀ <strong>(Genesis Theory)</strong></a></li> <li><a href="https://doi.org/10.5281/zenodo.17768720">Paper 6 — Generative Architecture: Dual Propagation Mechanism in the Triad Unified Fields <strong>(Broadcast Theory)</strong></a></li> <li><a href="https://doi.org/10.5281/zenodo.17768738">Paper 7 — Generative Architecture: Unified Model of Mass and Curvature <strong>(Einston Theory)</strong></a></li> <li><a href="https://doi.org/10.5281/zenodo.17978712">Paper 8 — Generative Architecture: Origin of Everything <strong>(Symmetry Theory)</strong></a></li> <li><a href="https://doi.org/10.5281/zenodo.17768837">Paper 9 — Generative Architecture: Micro-Dynamics and the Collapse Mechanism in the Triad Unified Fields <strong>(Collapse Theory)</strong></a></li> <li><a href="https://doi.org/10.5281/zenodo.17768858">Paper 10 — Generative Architecture: Macro-Level Dynamics in the Triad Unified Fields</a></li> <li><a href="https://doi.org/10.5281/zenodo.17789003">Paper 11 — Generative Architecture: Non-Projectable Sector and Emergence of the Third Fundamental Object in the Photon–Einston–Teslon Triad <strong>(Teslon Theory)</strong></a></li> <li><a href="https://doi.org/10.5281/zenodo.17898225">Paper 12 — Generative Architecture: The Origin of Generativity</a></li> <li><a href="https://doi.org/10.5281/zenodo.17938547">Paper 13 — Generative Architecture: The Grammar of GA <strong>(Unigene Theory)</strong></a></li> <li><a href="https://doi.org/10.5281/zenodo.17938551">Paper 14 — Generative Architecture: What is Identity <strong>(Identity Theory)</strong></a></li> <li><a href="https://doi.org/10.5281/zenodo.17938557">Paper 15 — Generative Architecture: Foundation of Geometry<strong> (Probability Manifold Theory)</strong></a></li> <li><a href="https://doi.org/10.5281/zenodo.17938560">Paper 16 — Generative Architecture: Matter, Image-Matter, Mirror <strong>(Reflection Theory)</strong></a></li> <li><a href="https://doi.org/10.5281/zenodo.17938849">Paper 17 — Generative Architecture: Density Regimes and Core Saturation</a></li> <li><a href="https://doi.org/10.5281/zenodo.17979805">Paper 18 — Generative Architecture: Physical Dimensions and Emergence of Novel Dynamics in Early Genesis</a></li> <li><a href="https://doi.org/10.5281/zenodo.17979794">Paper 19 — Generative Architecture: Antimatter as Orientation-Inversion of Matter</a></li> <li><a href="https://doi.org/10.5281/zenodo.17979793">Paper 20 — Generative Architecture: Black Hole</a></li> <li><a href="https://doi.org/10.5281/zenodo.17979792">Paper 21 — Generative Architecture: Dark Matter and Dark Energy</a></li> <li><a href="https://doi.org/10.5281/zenodo.18000370">Paper 22 — Generative Kernel: 6-Layer Architecture</a></li> <li><a href="https://doi.org/10.5281/zenodo.18000372">Paper 23 — Generative Kernel: Meta-Generative Integration (MGI) Layer</a></li> <li><a href="https://doi.org/10.5281/zenodo.18000374">Paper 24 — Generative Kernel: Formative Operator for Structural Preparation (DaVinchine Operator)</a></li> <li><a href="https://doi.org/10.5281/zenodo.18000376">Paper 25 — Generative Kernel: Kernel as Execution Boundary</a></li> <li><a href="https://doi.org/10.5281/zenodo.18000378">Paper 26 — Generative Kernel: Kernel State Machine (KSM) as An Execution Model for Kernel Dynamics</a></li> <li><a href="https://doi.org/10.5281/zenodo.18039110">Paper 27 — Generative Quantum: Introduction</a></li> <li><a href="https://doi.org/10.5281/zenodo.18039114">Paper 28 — Generative Quantum: Measurement as A Quasi-Continuous Restriction Process</a></li> <li><a href="https://doi.org/10.5281/zenodo.18039116">Paper 29 — Generative Quantum: Measurement Derivational Chain</a></li> <li><a href="https://doi.org/10.5281/zenodo.18056124">Paper 30 — Generative Planck: Planck as An Activation Boundary</a></li> <li><a href="https://doi.org/10.5281/zenodo.18056129">Paper 31 — Generative Planck: Degrees of Freedom as Kernel-Level Transition Structures</a></li> <li><a href="https://doi.org/10.5281/zenodo.18069167">Paper 32 — Generative Planck: Curvature Inversion No-Go Theorem</a></li> <li><a href="https://doi.org/10.5281/zenodo.18069172">Paper 33 — Generative Planck: Physical Constants as Execution Boundaries</a></li> <li><a href="https://doi.org/10.5281/zenodo.18069174">Paper 34 — Generative Law: Axiom of Law for Emergence of Stable Laws</a></li> <li><a href="https://doi.org/10.5281/zenodo.18069176">Paper 35 — Generative Law: Execution Guard Layers and Architecture of Physical Law</a></li> <li><a href="https://doi.org/10.5281/zenodo.18097336">Paper 36 — Generative Law: Law as an Admissibility Boundary</a></li> <li><a href="https://doi.org/10.5281/zenodo.18097338">Paper 37 — Generative Law: Nature of Time</a></li> <li><a href="https://doi.org/10.5281/zenodo.18097340">Paper 38 — Generative Law: Vertical Law Formation</a></li> <li><a href="https://doi.org/10.5281/zenodo.18097344">Paper 39 — Generative Law: Law Dominance, Interrupt and Quantum Measurement</a></li> <li><a href="https://doi.org/10.5281/zenodo.18120098">Paper 40 — Generative Law: Quantum Problems</a></li> <li><a href="https://doi.org/10.5281/zenodo.18120100">Paper 41 — Generative Law: Quantum Entanglement as Minimal Law Engineering</a></li> <li><a href="https://doi.org/10.5281/zenodo.18120102">Paper 42 — Generative Law: Limits of Entanglement Scalability</a></li> <li><a href="https://doi.org/10.5281/zenodo.18120104">Paper 43 — Generative Law: Quantum Decoherence as Law Leakage</a></li> <li><a href="https://doi.org/10.5281/zenodo.18120106">Paper 44 — Generative Law: Quantum Contextuality as Law Routing</a></li> <li><a href="https://doi.org/10.5281/zenodo.18121204">Paper 45 — Generative Law: Quantum Control as Law Engineering</a></li> </ul> |
| title | Paper 32 — Generative Planck: Curvature Inversion No-Go Theorem |
| topic | Curvature Inversion Generative Planck Generative Quantum Generative Architecture Quantum Superposition Quantum Measurement |
| url | https://doi.org/10.5281/zenodo.18069167 |