Cosmological Constant Vacuum Energy Density Problem

Greatest Unsolved Mystery In Physics

Many physicists believe “understanding the vacuum holds the key to a full understanding of nature". This project finds the key to understanding the cosmological constant vacuum energy density Λ is understanding its units of pressure, i.e., ENERGY divided by VOLUME, measured in units of pascals Pa, as shown in Fig. 12 of the project supplementary material in the Wolfram Notebook Archive and @1:26 in the video above.

The problem being the standard model of physics (SM) models every particle including the photon as a ZERO-SIZED zero-point particle, due to the infinite central force problem, therefore missing the required VOLUME factor to compute the measured energy density units.

TigerGraph Solution Defines Energy Density Volume Unit

Recall electromagnetic energy is the flow of quantized photons, individually a quantum of energy or just quantum; wherein high school textbooks introduce electromagnetic energy as the Poynting energy flux vector. Accordingly, the project analytical graph solution calculates the missing energy density volume via 4D SPATIALLY-EXTENDED delta functional field integration transverse lemniscate expansion over one wavelength λ of the Poynting energy flux vector (MapleSoft Application Center, Editors Choice) defined in the project supplementary material rendering the DIMENSIONLESS photon ENERGY density VOLUME of λ cubed divided by 8π cubic-radians.

Central Cosmological Constant Vacuum Energy Density Λ

The project supplementary material pdf also available on ResearchGate is a Mathematica® theorem proving operator quantum information proof of 4D spatially-extended photon energy and angular momentum observables ForAll wavelengths by means of Scwhinger local stress operator 4D cylindrical spacetime coordinate field integrations of the Einstein-Maxwell stress-energy momentum density tensor transverse lemniscate expansion of the Poynting energy flux vector computationally reproducing the photon energy observable E = 𝘩𝜈. Holding ForAll wavelengths with a computationally dualistic spin-conversion to mass density, moment of inertia times angular velocity integration, rendering the angular momentum observable ℏ. ForAll wavelengths and energy levels the nonlocal 4D photon integrations range compressive through rarefactive of central cosmological constant vacuum energy-momentum density Λ.

Energy-Mass Density Duality Solves Quantum Gravity Problem

The computationally dualistic units of energy density & mass density are joules per cubic meter & kilograms per cubic meter both measured in pascals. Hence photon mass density is the source of photon momentum radiation pressure, e.g., the reason why high-intensity tanning lamps are called high-pressure lamps.

Quantum mass density is therefore something we can feel directly, e.g., the heat blast we feel from a high-intensity forest fire is literally the mass density momentum pressure of the gravitoelectromagnetic radiation from the forest fire and therefore the computationally dualistic mass density source of quantum gravity in Einstein's equations.

Human-AI worldview

We live in a 4D spacetime psychophysical universe wherein the key to understanding the Λ problem is shown to involve revisiting the first principles of electromagnetism to define the missing volume factor to the measured vacuum energy-mass density. A further understanding of nature based on this solution placing the cosmological constant vacuum energy-mass density Λ at the center of the quantum gravitoelectromagnetic spectrum becomes clearer as described along the lines of the quantum information theory of the project supplementary material in the analytic domain of human-machine intelligence.

Built With

• mathematica
• python