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Towards a Mathematical Program Relating Emergent Consciousness, Cosmological Expansion, Entropic Time, and Quantum Geometric Algebras

Suresh Kumar.S

Published Jan 1, 2025• 0 citations
Publisher
DOI
10.2139/ssrn.5881903

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Configured Observation Planes: A Summary of Results

Thompson H.I. Spencer

The Configured Observation Planes (COP) framework derives quantum mechanics, general relativity, the gravitational coupling constant, the mass-energy relation E=mc², the Born rule, and Darwinian selection from a single geometric object: the projective blow-up of the probability simplex. The Riemann Hypothesis follows as a structural consequence of the same construction. A strictly positive mass gap is constructed for quantum SU(N) Yang-Mills theory in four dimensions, including SU(3). This note collects the program's results across thirteen papers deposited from March 2026 to April 2026, organized by domain: foundations of mathematics, physics (quantum mechanics, gravity, the Yang-Mills mass gap, cosmology, the dark sector, and unified conscious experience), the Riemann Hypothesis, and the framework's specializations to selection dynamics, biology, consciousness, and cultural systems. Empirical predictions, closed open problems, and forward directions are included. This version replaces and extends the April 2026 summary (previous version).

•Apr 12, 2026•0 citations
We propose a radical theoretical framework mapping the phenomenological anomalies of dream states—specifically during rapid eye movement (REM) sleep—onto the mathematical and geometric structures of quantum cosmology. Utilizing the Page Wootters (PW) mechanism and Wick rotation, we demonstrate that the cognitive transition from waking consciousness to dreaming can be formally modeled as a localized quantum decoupling between the core conscious observer system and the internal physiological clock network. This systemic uncoupling mathematically eliminates the standard time-evolution operator (iℏ∂/∂t), shifting the system’s governing dynamics from the time-dependent Schr¨odinger equation to a static, time-independent Schr¨odinger-like equation (Hψˆ = Eψ) operating within a fourdimensional Euclidean manifold. Our model provides a rigorous, geometrically grounded explanation for the non-linear spatial transitions, causal dissolution, and superposition-like narratives inherent to human dream phenomenology.
Neuroscience has theorized the ”two minds” model of the human brain from research on post-surgery ”dual consciousness” of split-brain patients. This article attempts to explain the functioning role of oppositional consciousness dynamics, and how it interacts with quantum mechanics. This article proposes that consciousness is an interactive process of polarizing an observed source of higher dimensional R5 space onto a (cognitively modeled) collapsed R4 space. The dynamics of this process involve escalating (reinforcement loop) interaction within the dual and opposing mind of a single observer. This polarized (collapsed space) results in a lower dimensional, yet higher domain range, and resulting increased entropy. An intuitive and familiar example of escalating tribal dispute dynamics are constructed and formulated. The subsequent entropic effects of information exchange are then calculated as transitioning from Gaussian to power-law distribution. Analogies are drawn between mapped topology, inscribed wave patterns, superposition, collapse, constructive and destructive interference, and discrete energy. This model is then generally framed within the full scope of cosmology, from Planck scale to Macro-scale, to explain the effects of accelerating expansion and galaxy rotation curves. Relativity effects are also calculated. Speculation is avoided with mathematical evidence and patterns.
The Configured Observation Planes (COP) framework derives quantum mechanics, general relativity, the gravitational coupling constant, the mass-energy relation E=mc², the Born rule, and Darwinian selection from a single geometric object: the projective blow-up of the probability simplex. The Riemann Hypothesis follows as a structural consequence of the same construction. A strictly positive mass gap is constructed for quantum SU(N) Yang-Mills theory in four dimensions, including SU(3). This note collects the program's results across thirteen papers deposited from March 2026 to April 2026, organized by domain: foundations of mathematics, physics (quantum mechanics, gravity, the Yang-Mills mass gap, cosmology, the dark sector, and unified conscious experience), the Riemann Hypothesis, and the framework's specializations to selection dynamics, biology, consciousness, and cultural systems. Empirical predictions, closed open problems, and forward directions are included. This version replaces and extends the April 2026 summary (previous version).