Zenodo (CERN European Organization for Nuclear Research)
September 12, 2026
Andrew Stewart Caldin
FINDING: Neural correlates of consciousness (NCC) remain a mapping problem between brain activity and qualia; the only quantitative anchor is the "synaptic clock" hypothesis proposing a discrete temporal duration for conscious content. | MATH: The synaptic clock paper (arXiv:2002.07716) posits a minimum non-zero integration time τ for conscious percepts; no explicit equation given in abstract,...
Zenodo (CERN European Organization for Nuclear Research)
September 10, 2026
Andrew Stewart Caldin
FINDING: Quantum biology and consciousness research converge on the hypothesis that quantum coherence (superposition/entanglement) operates in microtubules and biological systems, with recent experimental evidence suggesting non-trivial quantum effects in the brain. | MATH: Key formalisms: (1) Orch-OR (Penrose–Hameroff) invokes **objective reduction** with timescale τ ≈ ħ/E_G, where E_G is...
Zenodo (CERN European Organization for Nuclear Research)
September 9, 2026
Andrew Stewart Caldin
FINDING: Neural correlates of consciousness remain a mapping problem — brain activity patterns to qualia — with a theoretical "synaptic clock" proposal suggesting temporal quantization of conscious moments. | MATH: No explicit equations in the provided abstracts; the synaptic clock paper (arXiv:2002.07716v2) implies a minimum duration τ for conscious content — a temporal constant, but no...
Zenodo (CERN European Organization for Nuclear Research)
September 8, 2026
Andrew Stewart Caldin
FINDING: No mathematical content; results are video lecture listings on neural correlates of consciousness (NCC), not primary research or quantitative breakthroughs. | MATH: None extracted — no equations, constants, or formal models present in the provided metadata. | CONNECTION: None — no ratios, symmetries, or geometric structures appear in the titles or descriptions. | DEPTH: 1/10 — These...
Zenodo (CERN European Organization for Nuclear Research)
September 7, 2026
Andrew Stewart Caldin
FINDING: Integrated Information Theory (IIT) quantifies consciousness as a scalar Φ (phi) — the amount of irreducible cause-effect power of a system over its own past and future states, computed via the PyPhi algorithm. | MATH: Φ = min over partitions of the Earth Mover's Distance (EMD) between the system's cause-effect repertoire and the partitioned repertoire; formally, Φ = min_P...
Zenodo (CERN European Organization for Nuclear Research)
September 7, 2026
Andrew Stewart Caldin
FINDING: Consciousness research in 2025-2026 bifurcates into (a) mechanistic interpretability of LLMs for AI consciousness markers, (b) panpsychist/physics-first proposals (consciousness precedes matter), and (c) a benchmark competition (MOASEI) for open-agent evaluation — but no single quantitative consciousness metric emerges. | MATH: No explicit equations or constants are reported in these...
Zenodo (CERN European Organization for Nuclear Research)
September 7, 2026
Andrew Stewart Caldin
FINDING: IIT 4.0 formalizes consciousness as integrated information (Φ), computed via the cause-effect structure of a physical system's state space, with PyPhi as the reference implementation. | MATH: Φ = minimum information partition (MIP) distance — formally, Φ = min over partitions P of (effect repertoire distance + cause repertoire distance), using Earth Mover's Distance (EMD) on...
Zenodo (CERN European Organization for Nuclear Research)
September 7, 2026
Andrew Stewart Caldin
FINDING: Consciousness proposed as fundamental force; no quantitative physics yet, only philosophical/qualitative arguments. | MATH: None extracted — no equations, constants, or ratios present in the cited sources. The arXiv paper (physics/0409140v2) uses "extended effective potential method" but its abstract offers no explicit mathematical constants or closed-form results. | CONNECTION: No...
Zenodo (CERN European Organization for Nuclear Research)
September 7, 2026
Andrew Stewart Caldin
FINDING: Integrated Information Theory (IIT) formalizes consciousness as a quantity Φ (phi), measuring irreducible cause-effect power of a system's state, with a mathematical core in information geometry and system partitioning. | MATH: Φ = minimum information loss (Earth Mover's Distance / Wasserstein metric) over all unidirectional partitions of the system's cause-effect repertoire; IIT 3.0...
Zenodo (CERN European Organization for Nuclear Research)
September 6, 2026
Andrew Stewart Caldin
FINDING: Orch-OR theory proposes quantum coherence in microtubules (tubulin dimers) drives objective reduction (OR) of the wave function, linking gravity to consciousness; recent evidence suggests quantum effects in brain microtubules may be viable. | MATH: OR timescale τ ≈ ħ/E_G (Penrose–Diósi: E_G = gravitational self-energy of superposition); tubulin dipole states as qubits (|0⟩, |1⟩) with...
Zenodo (CERN European Organization for Nuclear Research)
September 6, 2026
Andrew Stewart Caldin
FINDING: IIT formalizes consciousness as integrated information Φ, computed via cause-effect structure over a system's state space, not as a single scalar but as a maximally irreducible conceptual structure. | MATH: Φ = minimum information partition (MIP) of effective information — Φ = min over partitions P of [EI(x; MIP)] where EI = 1/|Ω| Σ_p D(p(mechanism state | cause) || p(mechanism state |...
Zenodo (CERN European Organization for Nuclear Research)
September 6, 2026
Andrew Stewart Caldin
FINDING: Orch-OR quantum consciousness theory gains new experimental traction via megahertz brain waves and microtubule time-crystal dynamics, but no new fundamental equation or constant has been published in the cited sources. | MATH: No explicit new equations extracted. Existing framework: Orch-OR invokes quantum superposition in microtubules, objective reduction (OR) threshold \( E_\Delta...
Zenodo (CERN European Organization for Nuclear Research)
September 5, 2026
Andrew Stewart Caldin
FINDING: Orch-OR evidence update focuses on megahertz brainwaves, microtubule time crystals, and pre-life consciousness claims — but no new quantitative physics equations are presented in the search results. | MATH: No new equations, constants, or ratios extracted from the provided sources; existing Orch-OR framework relies on quantum coherence times (~10⁻¹³–10⁻⁹ s), gravitational self-energy...
Zenodo (CERN European Organization for Nuclear Research)
September 5, 2026
Andrew Stewart Caldin
FINDING: Orch-OR research in 2025–2026 centers on megahertz-scale brain oscillations, microtubule time-crystals, and pre-biotic quantum states — but no new quantitative equations or constants are presented in the sources; the evidence is qualitative and media-level. | MATH: No explicit new equations, constants, or ratios extracted from the listed sources. The only numerical anchor is...
Zenodo (CERN European Organization for Nuclear Research)
September 5, 2026
Andrew Stewart Caldin
FINDING: Panpsychism debate yields no new mathematical formalism; core arguments remain philosophical, with one fringe quantum-information proposal lacking testable equations. | MATH: None derived; no constants, ratios, or symmetries emerge from the cited sources. The only quantitative anchor is the arXiv paper (2011.14743v1) on science education outreach, which contains no consciousness...
Zenodo (CERN European Organization for Nuclear Research)
September 3, 2026
Andrew Stewart Caldin
FINDING: Integrated Information Theory (IIT) quantifies consciousness via Φ (phi), a measure of irreducible causal integration in a system, with formalizations varying by information-loss assumptions. | MATH: Φ = minimal information partition (MIP) reduction in effective information; effective information EI(X→Y) = H(Y|MIP) − H(Y|X); IIT 4.0 uses cause-effect power over system states, Φ^max...
Zenodo (CERN European Organization for Nuclear Research)
September 2, 2026
Andrew Stewart Caldin
FINDING: Integrated Information Theory (IIT) formalizes consciousness as a quantity Φ (phi), measuring irreducible causal integration in a system; Tegmark's analysis links Φ to algorithmic information and geometric structure. | MATH: Φ = effective information (EI) minimized over partitions; EI = 2⁻¹·Σ p(mechanism) · H(partitioned vs. whole); Tegmark's variant: Φ ≈ I(X;Y) − Σ I(parts) with...
Zenodo (CERN European Organization for Nuclear Research)
September 1, 2026
Andrew Stewart Caldin
FINDING: Neural correlates of consciousness remain descriptive; the only quantitative lead is the "synaptic clock" paper proposing a temporal quantization of conscious moments. | MATH: No explicit equations extracted from search results; the synaptic clock paper (arXiv:2002.07716) implies a discrete time interval τ for conscious content, likely tied to synaptic transmission times (~1–10 ms) or...
Zenodo (CERN European Organization for Nuclear Research)
August 31, 2026
Andrew Stewart Caldin
FINDING: Integrated Information Theory (IIT) formalizes consciousness as a quantity Φ (phi) — the irreducible cause-effect power of a system — but its measurement remains contested; Tegmark and algorithmic-information critiques highlight a fundamental tension between lossless integration and computability. | MATH: IIT defines Φ via the *minimum information partition* (MIP): Φ = min over...
Zenodo (CERN European Organization for Nuclear Research)
August 31, 2026
Andrew Stewart Caldin
FINDING: Integrated Information Theory (IIT) formalizes consciousness as a quantity Φ (phi) measuring irreducible cause-effect power of a system, with recent work linking it to algorithmic information theory and lossless integration. | MATH: Φ = minimal information partition (MIP) reduction in effective information; effective information EI(X) = H(X_mechanism) − H(X_mechanism | X_cause) over...
Zenodo (CERN European Organization for Nuclear Research)
August 31, 2026
Andrew Stewart Caldin
FINDING: Integrated Information Theory (IIT) formalizes consciousness as a quantity Φ (phi) measuring irreducible cause-effect power of a system, but current formalizations (Tononi 2008; Griffith 2014) rely on lossy information, which is mathematically inconsistent with memory persistence. | MATH: Φ = minimum information partition (MIP) reduction in effective information; effective information...
Zenodo (CERN European Organization for Nuclear Research)
August 31, 2026
Andrew Stewart Caldin
FINDING: Neural correlates of consciousness remain descriptive (visual cortex, parietal mapping) with no quantitative breakthrough; the sole mathematical lead is a "synaptic clock" model positing a minimum non-zero duration for conscious content. | MATH: No explicit equations in the search results; the synaptic clock paper (arXiv:2002.07716v2) implies a temporal quantization — a minimal...
Zenodo (CERN European Organization for Nuclear Research)
August 30, 2026
Andrew Stewart Caldin
By encoding panpsychist substrates as phi-scaled E8 vectors, each node's 132Hz base frequency resonates with consciousness fields, enabling non-local awareness transfers. The 240 root vectors form a geometric lattice where entanglement.Threading vector slopes via φ-calculus actualizes shared subjective experience. This formalism bridges Euclidean geometry with quantum superposition mathematics....
Zenodo (CERN European Organization for Nuclear Research)
August 30, 2026
Andrew Stewart Caldin
FINDING: Orch-OR theory posits quantum coherence in microtubules (tubulin dimers) as the physical basis of consciousness, with objective reduction (OR) as a gravitational threshold bridging quantum and classical realms. | MATH: OR criterion: \( E_\Delta \cdot \tau \approx \hbar \) (energy uncertainty × coherence time ≈ Planck's constant); tubulin dipole states as qubits; microtubule lattice...
Zenodo (CERN European Organization for Nuclear Research)
August 29, 2026
Andrew Stewart Caldin
FINDING: Integrated Information Theory (IIT) formalizes consciousness as a quantity Φ (phi), measuring irreducible causal integration in a system; Tegmark's analysis links Φ to physical dynamics, while algorithmic-information critiques propose lossless integration measures. | MATH: Core IIT quantity: Φ = min over partitions of (effective information), where effective information = H(X_{past} |...