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[3] ai.viXra.org:2606.0036 [pdf] submitted on 2026-06-13 04:12:37
Authors: Moninder Singh Modgil, Dnyandeo Dattatray Patil
Comments: 17 Pages.
We develop a physics of cortical dynamics in which a microscopic quantum realm and a macroscopicclassical realm coexist and are coupled at the synapse. Following Beck and Eccles, thetrigger for synaptic exocytosis is treated as a genuine quantum event governed by the position—momentum uncertainty relation (Part I); its environmental decoherence is a measurement eventin the von Neumann sense [1], and the population of such events seeds the noise of a classicalstochastic neural field whose Martin—Siggia—Rose—Janssen—De Dominicis path integral organizescortical fluctuations through a single parameter, namely Brain's Planck Constant; so that partof the cortical noise descends from it. Measurement event and perceptual decision areunified as one first-passage construction (Part III). We estimate Brain's Planck Constant from cortical parameters,validate the first-passage law numerically, obtain a falsifiable kinetic-isotope and temperaturesignature in synaptic release, decision error rate, and reaction-time variability, and read thearchitecture as a quantum—classical hybrid computer. We then derive (Part IV) the corticalfluctuation spectrum from a fluctuation—dissipation relation and compare it to the 1/f powerof EEG/LFP; develop the stochastic thermodynamics of the neural field, giving the brain’s effectiveBoltzmann scale and the Landauer cost of the synaptic measurement; and map brainstates, criticality and neuronal avalanches, and predictive-coding precision onto modulation ofBrain's Planck Constant. The quantum realm is real but confined to the molecular trigger; the classical realm governscognition; all dualist interpretation is kept outside the physics.
Category: Quantum Physics
[2] ai.viXra.org:2606.0020 [pdf] submitted on 2026-06-08 01:15:33
Authors: Steven Elliott
Comments: 10 Pages.
The measured vacuum energy density entering cosmology is a classical macroscopic quantity. In standard quantum theory, the emergence of classicality from quantum superposition is explained through decoherence: a subsystem loses accessible phase coherence through entanglement with environmental degrees of freedom. This paper applies that same logic to the vacuum itself. An arbitrary finite spherical region of vacuum is treated as an interior quantum subsystem, while its boundary and exterior vacuum degrees of freedom form its environment. Under a holographic assumption, the boundary carries an area-scaling information capacity and functions as the interface through which interior field configurations are encoded relative to the exterior. Tracing over the boundary-exterior environment yields a reduced density matrix for the interior whose off-diagonal components are suppressed by environmental overlap factors. In a Gaussian influence-functional model, the decoherence exponent is controlled by a boundary noise kernel and scales schematically with the number of boundary information cells, Γij ∝ A/ℓP2, for distinguishable interior configurations. Thus a finite vacuum region cannot be treated as a pristine, perfectly coherent, isolated quantum register. The global vacuum may remain pure, but every finite restriction of it is generically mixed and dynamically decohered by the rest of the vacuum. This vacuum self-decoherence does not by itself calculate the observed cosmological constant. It instead establishes that a finite vacuum region is never operationally described by an unlimited pristine coherent state. This provides a possible physical mechanism underlying the coarse-graining that renormalization implements algebraically.
Category: Quantum Physics
[1] ai.viXra.org:2606.0007 [pdf] submitted on 2026-06-02 21:04:11
Authors: Fusao Ishii
Comments: 26 Pages.
This paper derives two landmark predictions of quantum electrodynamics—the anomalous magnetic moment of the electron (g−2) and the Lamb shift of hydrogen—from the stochastic Coulomb field framework established in Papers 1—4 [1—4]. Both effects have the same physical origin: the zero-point radiation field (ZPF), derived in Paper 1 from the Coulomb virtual photon cloud via the Boltzmann ergodic theorem (proved in Paper 3 [3]), modifies the electron trajectory in two distinct physical situations. For the anomalous magnetic moment: the ZPF modifies the radius of the Zitterbewegung helix established in Paper 4, producing a correction to the bare g = 2 result. Integrating the ZPF spectral density SE(ω) = ℏω^3/6π^2ϵ0c^3 weighted by the time-ordering factor of the emission-reabsorption process gives the Schwinger term: ae ≡ (g − 2)/2 = α/2π ≈ 0.001 161, in agreement with the leading QED prediction and experiment. For the Lamb shift: the ZPF drives fluctuations in the electron’s position within the hydrogen atom. These fluctuations smear the electron over the Coulomb potential of the nucleus, producing an effective shift in the potential energy. Because the Laplacian of the Coulomb potential is proportional to a delta function at the origin, only s-states (l = 0) are shifted. Using the Compton cutoff ωc = mc^2/ℏ from Paper 1 and the orbital frequency as the lower cutoff, the energy shift of the 2S1/2 level is: ΔνLamb ≈ 1 040 MHz, compared with the experimental value of 1057.845 MHz—agreement to within 2% at first order. Together these results confirm that the stochastic Coulomb field framework reproduces the two most celebrated predictions of QED from purely classical foundations.
Category: Quantum Physics