Qualitative Expansion Model (QEM). Beginning with 202 always active, interdependent notations that encapsulate everything, everywhere for all time, at each notation Max Planck’s equation for light is the basis for an integrated, systemic, mathematical and geometric universe. It stands in contrast with the Big Bang Theory that points to the CMBR as one of the justifications for the model. QEM will also generate a background temperature. We are in the process of seeing how close it is to 2.725 Kelvin.

Here is an exacting definition of the Cosmic Microwave Background Radiation (CMBR) uniquely for the first 64 notations that are well-beyond (too infinitesimal) physical measurement. Not an afterglow but an actual glow, slightly different with each notation and the result of 18.5 tredecillion spheres per second always filling the universe distributed over the centers of each of the 202 notations and all the galaxies(currently estimated between 200 billion (2×10¹¹) to 2 trillion). 

Grok‘s current understanding of the Cosmic Microwave Background (CMB) provides general consensus overview. It is positioned as a key piece of evidence supporting the Big Bang theory and is often described as the “afterglow” of the Big Bang. It is a snapshot of the oldest light in our universe, dating back to the epoch of recombination, about 380,000 years after the Big Bang. Here’s a detailed explanation:

What is the CMB?

• The CMB is a faint, uniform glow of microwave radiation that fills the entire universe.
• It is the thermal radiation left over from the hot, dense early universe, when it cooled enough for protons and electrons to combine and form neutral hydrogen atoms, allowing photons (light) to travel freely.
• This radiation has been stretched (redshifted) by the expansion of the universe, so it now appears in the microwave part of the electromagnetic spectrum, with a temperature of approximately 2.725 Kelvin (very close to absolute zero).

Discovery

• The CMB was first discovered accidentally in 1965 by Arno Penzias and Robert Wilson, who were using a radio telescope and detected a persistent “noise” that was uniform in all directions. They initially thought it was interference, but it turned out to be the CMB.
• Their discovery earned them the Nobel Prize in Physics in 1978 and provided strong evidence for the Big Bang theory, as it matched theoretical predictions made by George Gamow, Ralph Alpher, and Robert Herman in the 1940s.

Key Features of the CMB

1. Uniformity (Isotropy):
   • The CMB is remarkably uniform across the sky, with a temperature of about 2.725 K in all directions. This suggests that the early universe was extremely homogeneous.
2. Tiny Fluctuations (Anisotropies):
   • Despite its uniformity, the CMB contains tiny temperature fluctuations (on the order of 1 part in 100,000). These fluctuations are crucial because they represent the seeds of the large-scale structures (galaxies, clusters, etc.) that formed later in the universe due to gravitational collapse.
   • These anisotropies were first measured in detail by the COBE (Cosmic Background Explorer) satellite in the early 1990s, and later with greater precision by missions like WMAP (Wilkinson Microwave Anisotropy Probe) and Planck.
3. Blackbody Spectrum:
   • The CMB has a near-perfect blackbody spectrum, meaning it matches the radiation profile of an idealized object that absorbs all incoming radiation and re-emits it based solely on its temperature. This is strong evidence that the universe was once in a hot, dense state in thermal equilibrium.
4. Polarization:
   • The CMB is also polarized, meaning the light waves have preferred orientations. This polarization provides additional information about the early universe, including evidence for cosmic inflation (a rapid expansion phase immediately after the Big Bang) and the presence of gravitational waves.

Scientific Importance. The CMB is a cornerstone of modern cosmology and has provided critical insights into the history, composition, and evolution of the universe. Some key implications include:

1. Evidence for the Big Bang:
   • The CMB is direct evidence for the Big Bang theory, as it matches the prediction of a hot, dense early universe that has since expanded and cooled.
2. Cosmic Inflation:
   • The tiny fluctuations in the CMB support the theory of cosmic inflation, a period of exponential expansion in the first fraction of a second after the Big Bang. Inflation explains why the universe appears so uniform on large scales and why the CMB has such small, specific patterns of fluctuations.
3. Composition of the Universe:
   • By studying the CMB’s power spectrum (the distribution of temperature fluctuations at different angular scales), scientists have determined the composition of the universe:
     • ~5% ordinary matter (atoms, stars, planets, etc.)
     • ~27% dark matter (invisible matter that affects gravity and structure formation)
     • ~68% dark energy (a mysterious force driving the accelerated expansion of the universe)
4. Age of the Universe:
   • The CMB, combined with other cosmological data, has helped determine the age of the universe to be approximately 13.8 billion years.
5. Geometry of the Universe:
   • The CMB data indicate that the universe is “flat” on large scales, meaning it follows Euclidean geometry. This is consistent with predictions from inflation and is determined by measuring the angular size of the CMB fluctuations.

Observations and Experiments: Several key experiments have studied the CMB in detail:

• COBE (1989–1993): Confirmed the blackbody spectrum of the CMB and detected the first temperature fluctuations.
• WMAP (2001–2010): Provided high-precision measurements of CMB anisotropies, refining estimates of cosmological parameters.
• Planck (2009–2013): Produced the most detailed maps of the CMB to date, further improving measurements of the universe’s composition, age, and expansion rate.
• Future Experiments: Projects like the Simons Observatory and CMB-S4 aim to study the CMB’s polarization in even greater detail, searching for evidence of primordial gravitational waves from inflation.

Challenges and Open Questions. While the CMB has provided a wealth of information, it also raises questions:

• What caused cosmic inflation, and what is the nature of the “inflaton” field responsible for it?
• What is the nature of dark matter and dark energy, which dominate the universe’s composition?
• Can we detect primordial gravitational waves (via CMB polarization) to further confirm inflation?

Conclusion

The Cosmic Microwave Background is one of the most important discoveries in cosmology, offering a window into the early universe and helping us understand its origin, evolution, and ultimate fate. It continues to be a rich field of study, with ongoing and future experiments poised to unlock even more secrets of the cosmos.

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Another look

Joseph Silk, Eleonora Di Valentino and Alessandro Melchiorri

On November 4, 2019 distinguished astrophysicist, Joseph Silk, and his two colleagues, Eleonora Di Valentino and Alessandro Melchiorri (corresponding author), published Planck evidence for a closed Universe and a possible crisis for cosmology. It is the result of their ongoing analysis of the cosmic microwave background radiation (CMBR), mapped by the European Space Agency’s (ESA) Planck satellite. The Silk-diValentino-Melchiorri (SdVM) team looked at the data and concluded, “The Universe May Be A Closed System.” They said:

“Planck cosmic microwave background spectra now preferring a positive curvature at more than the 99% confidence level. Here, we further investigate the evidence for a closed Universe from Planck, showing that positive curvature naturally explains the anomalous lensing amplitude, and demonstrating that it also removes a well-known tension in the Planck [ESA] dataset concerning the values of cosmological parameters derived at different angular scales.“ arXiv:1911.02087  (my emphasis)

Those keywords, a closed universe, were difficult to grasp. A flurry of articles quickly followed, however, nobody else would be analyzing that article in light of our emerging, rather simple model of the universe. Introduced in December 2011, our base-2 exponential model actually does mathematically encapsulate this entire universe within just 202 notations.

Newton and Leibniz did not have the advantage of Leonhard Euler’s work in the 1740s when he first introduced exponentiation to our understanding of the functions of the universe. Nor did they have the advantage of Max Planck’s work in 1899 when he made his calculations that became known as the Planck base units.

My simple hope is that the SdVM observations and conclusions create a real debate that heats up, and eventually that debate becomes a definitive rip in the fabric of absolute space and time. Can we grasp and define the differences between (1) an interval of time, (2) the arrow of time, (3).the flow of time, and (4) the very nature of time?

As a result of this article, we will begin a bit more formal analysis of CMBR. Also, just now, I sent a note to a friend saying, “I believe that most of the confusion within astrophysics today is our understanding of space and time. Those 202 notations are not recognized or understood. People do not know from which notation they are measuring values. We’ll help them discern it, by giving them the speed of light at each notation perhaps within a femtometer so when they start to separate out all the redshift more accurately by gauging it against that particular notation’s speed of light (given that most notations have unique light signatures — line 10 in the chart). Yes, yes, yes, I am vaguely aware of the far-reaching implications and simplifications of our universe.

References:

CMB Anisotropies and the Determination of Cosmological Parameters, Efstathiou, G (ArXiv)

Quintessence and Cosmic Acceleration, Steinhardt, Paul J. (PDF)

Exotica in the universe — dark matter, early black hole seeding, the first stars, cosmic microwave background radiation) CMBR, Priyamvada Natarajan

Measuring the Inflaton Coupling in the CMB, Marco Drewes, UC Louvain, Origins – Baryon Asymmetry of the Universe (BAU) (2nd, Summary, PDF) ArXiv (62)

PS. What’s in a name? Several have commented that my name seems to inculcate physics. Since 1965, I often use my initials, BEC, and did so especially in my undergraduate days. Of course, some have associated it with the Bose-Einstein Condensate. Of course within that compression of BEC, all the vowels are the first to be squeezed out and that camber becomes CMBR.

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