Information Conservation in Cyclic Cosmology: ULAP Dark Sector Dynamics, CEFE Weyl-Phi Coupling, and Parity-Odd CMB Signatures

This paper introduces Conformal Conscious Cyclic Cosmology (C4 Theory), a novel synthesis framework providing a mathematically rigorous resolution to the two fundamental paradoxes of cyclic models:

1. The Entropy Paradox: The monotonic accumulation of thermodynamic disorder across aeons.

2. The Information (Unitarity) Paradox: The preservation of quantum states across the conformal boundary ($\Sigma$) and through black hole evaporation.

By identifying a complex scalar field ($\Phi$) in the Ultra-Light Axion-Like Particle (ULAP) mass regime as a dynamical information reservoir, C4 Theory reframes consciousness not as a biological epiphenomenon, but as the active negentropic agent required to balance the universe's thermodynamic budget.

Core Postulates & Technical Framework

1. Identical Conformal Reset: Utilizing Friedrich’s Conformal Einstein Field Equations (CEFE), the theory accepts the CCC framework where the remote future ($\mathscr{I}^+$) of one aeon conformally maps to the Big Bang singularity ($\mathscr{I}^-$) of the next ($\Omega \to 0$).

2. Consciousness-Entropy Symmetry: Postulates that consciousness operates via a Complex Ultra-Light Axion-Like Particle (ULAP) field ($\Phi$) with global $U(1)$ symmetry. This field acts as an "Information Substrate"; as thermodynamic entropy maximizes, the $\Phi$-field phase absorbs structural order through an area-law to volume-law entanglement transition.

3. The Choice Imprint Principle: Conscious, anti-entropic choices are modeled as physical events that imprint structural information onto spacetime geometry via the $\Phi$-Stress Tensor ($T_{\mu\nu}^{\Phi}$), acting as an asymmetric source for primordial Weyl curvature.

4. Resonance Recognition: Proposes that biological observers act as macroscopic quantum antennas tuning into the $\Phi$-field. Transient coherence between brain states and geometric information stored in the Weyl tensor from a previous aeon is hypothesized as the mechanism for "perfect replay" déjà vu events.

Experimental Falsifiability & Derived Hypotheses

C4 is a strictly falsifiable framework with three primary observational "gates":

• Cosmology (The LiteBIRD Signature): Predicts a robust, boundary-sourced chiral tensor background. The model yields a strictly non-vanishing parity-odd tensor bispectrum with a predicted amplitude of $|f_{NL}^{\text{tensor, odd}}| \ge 10.0$, targetable by the LiteBIRD mission.

• Condensed Matter (The Metric Residue): Localized collapses of predicted scalar fields result in specific isotopic gradients in recovered anomalous (UAP) materials. (Patent Pending: USPTO #63/929,089).

• Particle Physics (The Thermodynamic Trigger): Proposes a Dimension-8 EFT operator connecting the $\Phi$-field to standard matter, potentially resolving the $R_K$ anomaly in B-Meson decays at LHCb.

Context & Archive Note

This document serves as the formal academic foundation for the author’s narrative series, The Creator’s Echo Cycle. In the event of institutional "blackouts" or data-sharing delays (cf. 3I/ATLAS MRO data crisis), this Zenodo archive serves as the decentralized ledger of record for the C4 protocols.

Keywords: Conformal Cyclic Cosmology, Unitarity Paradox, ULAP, Dark Sector, LiteBIRD, Parity-Odd Bispectrum, Weyl Curvature, Information Conservation.