The Cosmological Staccato Corollary: Planckian Blink Dynamics, Holographic Capacity, and Emergent Covariance
Authors/Creators
Description
Overview: This manuscript serves as the formal Cosmological Appendix (Part II) to the foundational framework introduced in the "Transactional-Harmonic Theory of Everything" (THTE). While the primary manuscript establishes the ontological and topological foundations of emergent spacetime via quantum entanglement (ER=EPR) and wave-function continuous friction, this corollary provides the rigorous mathematical formulation and operator dynamics.
Core Contributions: The Cosmological Staccato Corollary translates the conceptual framework into the language of open quantum systems and effective field theory. It demonstrates how continuous 3D macroscopic reality and the thermodynamic arrow of time emerge from discrete, Planck-scale quantum updates (the "staccato" blinks).
Key mathematical derivations include:
Planckian Blink Dynamics: The formulation of a Completely Positive Trace-Preserving (CPTP) transactional Lindblad superoperator to model the wavefunction collapse as a thermodynamic friction between retarded (offer) and advanced (echo) waves.
Cosmological Holographic Bounds: The establishment of a minimal UV/IR bridge connecting the fundamental Planck length (ℓP) directly to the cosmological Hubble radius (RH), yielding the Bekenstein-Hawking information capacity of exactly N≈2.3×10123 qubits.
Emergent Covariance: A mathematical proof showing that continuous Lorentz invariance (the Klein-Gordon equation) is successfully recovered as an infrared (IR) fixed-point limit of the discrete Planckian dynamics, while dynamic constraints on Lorentz Invariance Violation (LIV) parameters are discussed.
Arrow of Time: The utilization of the Spohn inequality to prove positive entropy production (ΔS>0) in the inter-blink vacuum sectors via dissipative transactional friction.
Context & Usage: This paper is intended to be read as a mathematical companion to the main THTE framework. It provides the necessary tensor algebra, quantum thermodynamic proofs, and cosmological phenomenological parameters required for peer-review scrutiny and future extensions involving fermionic and gauge sectors.
Related Work: For the complete conceptual architecture, topological deductions, and the introduction of the Transactional Harmonic Tensor (Hμν), please refer to Part I: https://zenodo.org/records/19829332.
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Additional details
Related works
- Is supplement to
- Preprint: 10.5281/zenodo.19829332 (DOI)
Dates
- Issued
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2026-04-28
References
- Pereira de Souza, L. (2026). Transactional-Harmonic Theory of Everything: Ontological Foundations of Emergent Spacetime. Zenodo. https://doi.org/10.5281/zenodo.19829332
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