Thank you for your work to explain the speed of light. For me,
it appears to be profoundly related to the four Planck base units.
Simple questions, yet not so simple answers:
1. Does Max Planck’s simple formula for Planck Time work:
Planck Time divided by c is equal to Planck Length? It appears to work
(See line 10).
2. Does it follow that Planck Length divided by Planck Time is equal to c ? It also appears to work. It begs the questions, however, does it also work within an expansion of the four Planck base units using base-2? Here the simple calculation gives us a variable speed notation by notation.
We are still thinking about those preliminary calculations within line 10
of our horizontally-scrolled chart: https://81018.com/chart/
Is it just jabber, circular speak, or could the simple logic of these numbers
be trying to tell us something? Thank you.
PS. That’s a two-hour drive between Fermi and Notre Dame. I suspect you know those roads very well!
Causal dynamic triangulation describes a most fundamental process.
Yet, given our rather naive work since December 2011 (high school is high school) and our entirely idiosyncratic approach — going within the tetrahedron-octahedron the 112 base-2 steps to around the Planck scale then out the 90-steps to the current time — I also ask, “Could spacetime be fully 3-dimensional near the Planck scale?” In my stretched logic I see an infinitesimal sphere manifesting, sphere stacking and packing (from Kepler to Hales to Zong). CDT comes quickly but later. Possible or just silliness?
As usual I let scholars know when I quote them or use their image to go to this page or footnotes to discuss your work. Though still in process, you are back on today’s homepage here: https://81018.com/questions-1/ The footnotes and references are just now being developed. To attempt to facilitate discussions, I have asked a few questions of my visitors: https://81018.com/questions-1/#Questions I would be glad to send you another note with just those questions to facilitate a discussion. Thank you.
Third email: Tuesday, 18 June 2019
Yes, you are back up on our homepage today: https://81018.com/believed/ Essentially, inspired by Murray Gell-Mann, I thought you would want to know.
In light of the Ellis Physics on Edge harangue, virtually touching everyone who has been a leading thinker in the past 20 years, right to the final paragraph with Dawid-Rovelli, I repeat the John Wheeler 1986 statement within his article, “How Come the Quantum?” where he says, “Behind it all is surely an idea so simple, so beautiful, that when we grasp it — in a decade, a century, or a millennium — we will all say to each other, how could it have been otherwise?”
These simple numbers may bear him out: https://81018.com/chart/ Simple processes, like Euler’s equations and base-2 notation give us an entire range of unexplored numbers from the second notation to at least the 64th notation. That’s a science unto itself. Pure math, perhaps the string theorists could finally claim a home.
It is easy to write off simplicity, yet someday these numbers will be explored by the likes of somebody as informed as you are. Thank you.
Second email: Sunday, 27 January 2019
Perhaps the earlier email (below) was buried. Perhaps this base-2 model is just too absurd to acknowledge. I am just a simple guy following simple logic.
1. The Planck base units of length, time, mass and charge describe a real reality.
2. The conceptual door to this infinitesimal universe is where all four Planck base units concresce (grow together, yet individuate) to create a stream of infinitesimal spheres. Though physical, length-time are well below thresholds of measurement, the progression of mass-charge units can be studied. These four units are, in some manner of speaking, the Janus-face of each other and of light.
Since December 2011, I have been carrying on in this light, slowly, intentionally, but naively. I wish somebody of your stature and command of all the academic fields involved would take a moment and put a stop to this effort if it is sheer poppycock. Thank you ever so much. Sincerely,
Our focus has been on the Planck scale. We believe there it has more to contribute than meets the eye.
Between the Planck scale and “CERN-scale of measurements,” there are 67 doublings (or notations or causal sets) of the Planck base units.
[If we assume the very first instant of the universe is that which is defined by Planck Time and Planck Length and Planck Mass and Planck Charge and that there is a natural base-2 expansion, the 202nd notation includes the current day and time].
Perhaps it might be better to start at the first doubling and to observe the logical possibilities.
Might other factors like Causal Dynamical Triangulations (CDT), Regge calculus, fractal structure, 2-D spacetime, and the flavors of the simplex be included in an appropriate build-out and within an appropriate doubling?
I think that the emergence at the Planck base units, the simplest planckspheres may well account for what we know as dark matter and dark energy. I believe it’s a relatively simple calculation.
Among all the people to whom I write, I suspect you can debunk this concept most quickly; or, you may be surprised at its simplicity and possibility. Of course, the derivative, discrete nature of space-time is necessary and I think we would do well to redefine the infinite with mathematical terminology and anticipate a finite-infinite transformation possibly further defining the renormalization process..
Follow-up Causal Dynamical Triangulations (CDT): CDT and Cosmology: • Non-renormalizability of perturbative quantum gravity • FLRW paradigm: Physics Beyond the Standard Models of Particles, Cosmology and Astrophysic. • Imposing homogeneity and isotropy on spatial slices of constant time, t. • So-called “backreaction” effect of inhomogeneities on smaller scales on the dynamics of the universe on larger scales • “…an explicit realization of a non-perturbative, Planckian quantum dynamics…”
More Work to do (further research): • Path integrals and Gaussian fixed point. See Assaf Shomer’s on page 7: “The derivation of the path integral formula in quantum mechanics of a massive particle involves chopping up the quantum evolution into very short time intervals and inserting complete sets of states between them.” • Doplicher S, Fredenhagen K, Roberts JE (1995) The quantum structure of spacetime at the Planck scale and quantum fields. Communications in Mathematical Physics 172(1):187–220 • Scale invariance and conformal symmetries
This website is a study of a model of the universe based on an application of base-2 exponentiation (multiplying by 2 or doublings) that eventually encapsulates-and-relates everything, everywhere, for all time in just 202 notations. This model of the universe starts with Planck Length and Planck Time, the smallest possible measurements, and goes to the largest. It starts with the very first moment in time and goes to this very moment in time.
There has never been a mathematical model of the universe quite like it.
To get an intuitive sense of this model is difficult. Four sacred cows of science need to be reexamined; these are best summarized as continuity, symmetry, harmony and the finite-infinite relation. Continuity applies to the nature of time. Symmetries apply to the structure of space, focusing here particularly on the very small-scale. Harmony is a focus on the dynamics of perfection and imperfection whereby chaos, indeterminacy, creativity, free will and fluctuations all emerge. And, all three are the face of the finite-infinite relation. 
The dynamic image at the top of this article opens this analysis. The first sphere is the first instant of space and time with a very specific mass and charge. These numbers were all calculated by Max Planck in 1899 and have been studied in earnest since 2001 when Frank Wilczek wrote a three-part series, “Scaling Mt. Planck” for Physics Today.  When he received his Nobel prize in 2004, these three articles took on the patina of authority.
The next step for scholarship was obvious, but everybody seems to be ignoring it.
The first moment of time is derivative, finite and discrete. Newton’s absolute space and time are sidelined to introduce a new scale of the universe that begins with Planck Length and Planck Time. The focus of that image, including the ellipsis (36 displayed), is “the first emergence.” 
Seemingly out of nothing – no space, no time – it all starts with just one sphere, defined by the Planck base units and many dimensionless constants, that is followed by another sphere, then another and another…. For now, we’ll call these spheres, planckspheres. If these spheres could be observed — obviously much-much-too-fast-and-too-small to measure — perhaps this process might be described as a line or a string coming out of nowhere, literally defining space and time as it emerges. This is the beginning of time, and this first moment is still emerging, today, at this moment…. It is still creating space/time and the dynamics that are mass/energy (or charge). It is assumed that all four Planck units are inextricably interwoven throughout the 202 doublings  (or notations) that bring us to this very moment within this day.
In that light, our first principle is that our Universe begins and is sustained by the dynamics that are defined within Planck Length/Planck Time and Planck Mass/PlanckCharge. Given these are inextricably interwoven, one of our challenges is to loosen, then disentangle all the knots.
Be assured, this is not your daddy’s or your mommy’s sense of time. Here it is a rate of encoding and imprinting on a universe that has no past. It has no future. It is only right now. This instant. Everywhere, everything shares this same moment and this same infrastructure.  This first notation is always the same, yet it is always unique just like pi. Impenetrable, there is nothing smaller; and these spheres penetrate and sustain all things.
So, another principle is that time is not a measurement of duration but of processing speed.
Here is the operational nexus between the finite and the infinite. Here is the beginning of an integrated, mathematical model of the universe and a quiet expansion with a most-natural inflation. Here is our little universe displaying its deep-seated order; yet very quickly, it begins to reveal how disorder, chaos, uniqueness, and creativity emerge.  Those geometries are well-known and the dynamics within each manifestation are now being explored and will be discussed in subsequent homepages.
Doublings. In the second notation the most basic projective geometry begins to emerge and structure begins building on basic structures  that creates a logical continuum from the infinitesimally small scale structures right up to the 67th doubling where now things can, in some sense of the word, be measured by accelerators like CERN in Geneva, Switzerland.
One of the key purposes of this site is to chart a map that takes us right down into these assumed infinitesimal structures.
Academics and scholars have not adopted this model. Questions should be asked first, about the jump or “quantum leap” from the CERN-scale to the Planck scale.
To date, there appears to be no other attempt to define this exquisitely small space using a simple application of base-2 notation and a profound respect for the Planck base units. In this study Planck temperature is derivative of mass/charge; so to approach the Planck temperature value, it has been reverse ordered. Just for convenience, it is now started just one notation above the 202nd notation. The logic supporting such a positioning is still being formulated.
Can the deep nature of that “quantum leap” be calculated today using just the four Planck base units and doublings? Could the first doubling from Notation 1 to Notation 2 be the foundation for all doublings? There are many different types and applications of doublings that have already been well-researched and defined. To learn a little about each, on one page within this site, these key types of doubling will be studied and further researched in light of the continuity equations from the first doubling to the 202nd doubling.  Hopefully period-doubling bifurcation, cellular division, double field theory and gauge-symmetry for T-duality-and-doubled geometry, and multiscale modeling and simulations will inform us.
What other kinds of doublings should be considered? The 64 doublings from the Planck scale to just under the CERN-scale (at the 67th doubling) have been well-enumerated through the study of geometric expansions, especially as outlined by the Wheat & Chessboard story. It begs the question, “Is there a logical progression by which numbers and geometries progress?” Does every kind of mathematics, geometry and logic build upon each other? 
Given recent scholarship within the studies of prime numbers, the question should also be asked, “What is the role of prime numbers in this expansion?” There are 45 prime numbers between notation 1 and 202; there are 19 primes from 1 and 67. Could each notation that is a prime open a path for more complex mathematics? That question is being pursued within the development of the following pages: https://81018.com/1-202https://81018.com/a0https://81018.com/a1https://81018.com/a2 …
So, even as we study these possibilities, a simple stacking renders our first doubling and an infrastructure for all subsequent doublings. Our centerfold image at the top captures the dynamics of doublings. Cubic-close packing, both face-centered cubic (fcc) and hexagonal close-packed (hcp), has a rich history beginning in-and-around the 1570s starting with the problem of stacking cannonballs on the deck of a ship. Today there are purely mathematical packing challenges as well as applications of atomic and crystallographic stacking and packing. By starting with planckspheres, this most-simple doubling application becomes discernible as the second, third, and fourth doublings are assumed. Further, subsequent doublings are assumed right on up to 202nd doubling and the current time. Yet, something unusual is captured within the 67th doubling, we begin to measure it. That length opens the possibilities of particle physics revealing the potential science of the first 64 steps. It begs the question; is this a logical continuum from the infinitesimally small scale structures up to those being measured by accelerators like CERN?
These planckspheres, a key element of the finite-infinite bridge, are defined by pi, the Planck base units, dimensionless constants and simple logic. Every finite-infinite discussion-and-debate should be re-examined. Though tedious, it must be re-engaged. There are too many fine scholars who are being torn up and their logic being shredded to not engage every idea that has been posited throughout human history. All of that is within the 202nd notation. The 197th notation takes us up to 343+ million years. Our first 196 notations open a deep study of the earliest cosmological epochs.
Of course, the question must also be asked, “Is this model overly simplistic and naive?” Yet, even if so, could this model of the early universe be closer to the truth than the big bang theory? I believe it is. Thank you. -BEC
 The three faces of the finite-infinite relation extend our earlier discussions about David Hilbert’s understanding of infinity and Max Tegmark’s disdain for the word. Continuity-symmetry-harmony are the mathematical-scientific faces of infinity and each face is captured by the dynamics of pi and the emergence of lattice, tetrahedrons and octahedrons, and eventually complex structure.
 Frank Wilczek wrote his three-part series, “Scaling Mt. Planck” for Physics Today, yet has not acknowledged that Planck base units are the best conceptual orientation to start constructing this universe. As a result of this analysis, we will ask him, “Why not?” To our knowledge, the writings within this website are the first to lift up Max Planck’s base units as the starting point for the universe. We are anxious to discover and understand any articles that analyze their place, power and conceptual richness.
 “The first emergence” is a steady stream of planckspheres being uniquely created just like they were in the very first moment. Every notation has a unique function and every notation is evolving at the same time it continues to do what it has done. Here, perhaps are Neil Turok’s perpetual starts of the universe. Here everything, everywhere is built up and emergent from this fabric of the universe, called an aether and/or dark matter and dark energy, that gives this universe its isotropy and homogeneity.
 The Planck base units and dimensionless constants are inextricably interwoven throughout the 202 doublings (or notations) are based on the “Plancksphere” and that analysis is just beginning. I googled the word, for example, on June 25, 2018 with those quotes and there are just nine results. Using two words, “Planck sphere” with the quotes, there are 320 results. And without the quotes there are just over four million combinations that come close. Such results suggest that this is a new or emergent science.
Within our dynamic image about sphere stacking, the tetrahedral-octahedral architecture begins to emerge. Here, the possibilities for getting things inextricably woven together become staggering. By the tenth doubling there are 134,217,728 scaling vertices with which to work. By the 20th notation it catapults to 1.4411519×1017 — there are no limits to the entanglement of strings and knots and yet-to-be-fathomed geometries to create. By the 64th notation those scaling vertices have jumped up to 6.2771017×1057 and the first particle has yet to emerge!
Unless this simple logic is mistaken, there is altogether too much potential to ignore these possibilities and this orientation any longer.
 Everywhere, everything for all time shares this same moment and this same infrastructure. There are many books and articles about the nature of time. Within this study, most have fallen short. Einstein and Planck opened the door to re-analyze Newton’s earlier conceptual frame of absolute space and time, yet nothing more compelling emerged. Newton continues to define our commonsense logic, but should it? If it is established that period-doubling bifurcation, cellular division, double field theory and doubled geometry, and multiscale modeling all share the same common denominator that starts at the Planck base units, absolute space and time can be placed on the historical shelf as a footnote within the imprinting on the sentience of this universe. More work needed…
 Structures begin building on basic structure. There are two areas where our analysis is focused. The first is on a notation-by-notation analysis but progress is slow because there is so much mathematical logic to be learned. The other is basic geometries, quantum geometries and dynamic geometries. Here, too, there is so much to learn and, of course, more to come…
 There appears to be a rigorous academic study of the logical construction of concepts, geometries, and equations. Mathematics and geometries do build upon each other! These studies will become our studies and as quickly as possible, each will be integrated within our map of the universe. Yes, there is more to come…
“In philosophy, systems theory, science, and art, emergence occurs when “the whole is greater than the sum of the parts,” meaning the whole has properties its parts do not have. These properties come about because of interactions among the parts.” -Wikipedia
* This page was started on June 21, 2018 in South San Francisco while on our tour of America. On many occasions Hattie and I been challenged to look at the world and ourselves in new ways. Along our route, we’ve spent time engaging with people:
At John Hendrick’s retreat, Gateway Canyon Ranch, an hour south of Grand Junction, Colorado, we discovered his CuriosityStream retreat center. That got me thinking.
We were in the highly-overpriced Yellowstone Hotel in Wyoming where the National Park Service is attempting to create a Disney-like experience, highly-controlled-and-organized wilderness. That compressed conflict got me thinking.
On our drive to Bend, Oregon, I discovered the Simplot Don plant near Pocatello, Idaho and learned about fertilizers and growth and even that challenged my thinking.
In Bend, while visiting with friends, I was challenged again to understand why there is such disparity, both political and economic, within our world.
On to Portland, the land of inclusivity, two different sets of friends challenged me to see the world through their eyes. There is so much to process and process it we will until each becomes a homepage.
This homepage was simply to clarify the last three homepages:
Purpose of this group. To develop a special graciousness and openness about life and beliefs, this group is for the people who want to get along with believers and non-believers. Can we find a deeper truth that holds up some new insights that will embrace both sides of an equation by focusing on the nature of the relation. We’ll engage the edges of scientific research and its implications for our current theories about the universe and its origins, and about who we are and the meaning and value of life.
Overview: One of the best sources for a study of the relation between the finite and infinite are the sacred texts within our religious traditions. Many of us who grew up in the Christian tradition and like typical college students, we tend to reject the old to begin to self-actualize. Then we begin studying at the limits and boundaries of our knowledge and the challenges can become so daunting, they get left in those undergraduate and graduate classrooms. Personally I went out as far as I could on the edges of physics, working with Bob Cohen, then chairman of Boston University’s physics department, and then with physicists from around the world. I began discovering there are conceptual overlaps between all the departments within the university. The most extreme appeared to be those who were religious and those who demonized all religions.
What can be more different that the texts within The Bible, both Old Testament and the New Testament, and most texts within the scientific community, that is between Genesis 1 and John 1 and Stephen Hawking’s big bang theory. These sessions are designed to examine concepts within the sciences, philosophy, ethics, and mathematics to see how and where these overlap with concepts about eternity, infinity, light, and love. We start with an integrated view of the universe, and that begins to inform our understanding of the infinite and infinity.
Structure: This small group will have just nine gatherings, no longer than 90 minutes each. A goal for these sessions is to chart a way to empower people to create such a small group study. • The first two sessions. We will re-examine cosmological models of the universe (2 weeks). • The 3rd and 4th sessions: We will explore various ways of approaching an understanding of the finite-infinite relation. • The 5th and 6th sessions: We will explore a rather different understanding of light, a light that permeates and defines every notation and all of space and time. • The 7th and 8th sessions. We will explore the challenges to our understanding of basic concepts like space and time. Both become finite and transaction oriented. • The final session: Beyond the summaries, we will be searching for answers to the question, “What do we do now?”
Simple and small goals: The first goal is to open the door to a very simple orientation to science and faith that (1) works with science and mathematics and (2) allows for, and possibly informs, religious beliefs. The next goal is to explore the entry points between the finite and infinite. Another goal is to explore the physics, philosophy, and psychology of light. If we have even limited success, we’ll all begin to shrink space and time and open up an intimacy with the universe.
Dear Prof. Dr. Vice Chancellor Louise Mary Richardson:
Sometimes even Tacitus is wrong.  Some age-old “truths” actually hold us back. Two powerful obfuscations came out of the other great British university, particularly from two of their Lucasian Professors, Newton with his absolute space-and-time  and Hawking with his infinitely-hot big bang. 
Now, I have been reading What Terrorists Want: Understanding the Enemy. And, yes, we have been too slow to create counter narratives to the ideologues of terrorism. I would add that we have also been too slow to challenge conventional paradigms, especially when we find ourselves within circular arguments.
Now, we share a few common experiences. As a kid we would visit Aunt Nellie who worked in the Radcliffe Admissions office. My dad had been a sheet metal worker in the Harvard HVAC group and helped to keep the Mark I and II cooled down in the basement of the Cruft Lab on Oxford Street. While in high school I joined the SDS at Harvard before it was thrown off campus in 1964. By 1969 I was organizing national amendments to end the war in Vietnam with full-page ads in the New York Times and Wall Street Journal, and congressional conferences in Washington, D.C. on global priorities. There wasn’t anything we wouldn’t do.
But something fundamentally was missing. My driving force was to understand scientific breakthroughs, creativity, and innovation. By 1971 I was onto the EPR paradox  and quickly found John Bell  at CERN labs. It became obvious that there was something very wrong with our notion of space and time, but we couldn’t break through Newton’s commonsense logic. Hawking was so hooked, the big bang seemed like the only logical choice among cosmological models. It wasn’t.  Then, after 100 years of being in an academic closet, the Planck units were re-discovered (2001). Then, in 2011, the first mathematically-integrated chart of the universe was made using the Planck units. Using base-2 from the first moment of physical time to the current time, there were only 202 notations.
One of the reasons I was initially attracted to Alexander’s work was the simplicity of his logic. It stood out because in the face of big cosmology, he said that it all either started hot, as with the Planck Temperature, or it started cold as in zero temperature. That was uncharacteristic within the halls of physics. Most had already defaulted to the Lucasians, Newton and Hawking.
We are waiting for some scholar with the depth and range that you have to explain why our simple logic of a very cold start and a natural inflation can not work. The numbers generated from simple doublings tell a story that seems to track well with big bang cosmology, yet gives us a very special kind of data that goes well behind what some are calling the epoch of reionization.
Since we can’t get behind that period, why not look at the simple data generated by logic, a cold start, and simple doublings? If it can be pulled into harmony with CMBR measurements, then I think it should be looked at even more closely.
It is not totally crazy if there is some possibility of seeing all these puzzle pieces rather differently.
Thank you, Prof. Dr. Stephon Alexander and Prof. Dr. Laura Houghton-Mersini:
I’ve gone through your September 1, 2017 article and have highlighted several spots, particularly, in the microphysical scale. If you begin at the Planck units and use base-2, you’ll have those 64-to-67 doublings to the CERN scale which define the very-very early universe. Between the 143rd and 144th doubling the universe is just a second old and the length is the distance light travels in a second. https://81018.com/chart/ At the 197th we are within our first 500 million years and at the 202 we are now emergent within the Age of the Universe today.
That simple math and simple logic, of course, is too simple for most. You may be surprised, once you are inside those domains, how complex and open it all is.
Thanks again for your article. Wonderful collaboration!
Not until February 2014 had anybody done the simple-but-tedious work to double the infinitesimal Planck Time, then double each result 201 times. As a consequence, this application of base-2 notation has not been studied. The 202-column chart of the universe that starts at Planck Time and goes to the Age of the Universe reveals a simple logic for natural inflation that readily mimics the big bang cosmology of Stephen Hawking and Alan Guth.
Because it is an entirely predictive chart, this nascent base-2 model can readily be tested with all existing data from all other models of the universe.
“Only a fool would dare challenge his work. So, such is life; each of us must at sometime play the fool. “
Much further down I say: “More than just the big bang theory’s (bbt) four forces of nature within the Planck scale, we assume a certain unification of all five Planck base units and those constants that define them, and that this unification is carried through the entire 201+ notations to the current time and present day (until proven to be otherwise). The Planck base units are defined by length, time, mass, temperature and charge. These Planck units are further defined by the speed of light (or special relativity), the gravitational constant (or general relativity), the reduced Planck constant (or ħ or quantum mechanics), the Coulomb constant (or ε0 or electric charge or electromagnetism), and the Boltzmann constant (or kB or of temperature).”
I wonder if you have any comments?
Most sincerely, Bruce Camber
Second email: January 26, 2015, 12:01 PM
My dear Prof. Dr. Stephen Hawking (and Jonathan Wood):
Steven Weinberg begins his book, “The First Three Minutes” at 1/100th of a second. He missed 136 doublings from the Planck Length and Planck Time (on the way to the Observable Universe-Age of Universe respectively).
The first 67 doublings involve the de facto structure that gives rise to space and time and may begin to deflate the Big Bang Theory as theory. In revisiting Einstein’s 1913 work, the hole argument (Stanford summary), spacetime is derivative of gravity. John Stachel has an even strong paper. History has missed each boundary condition from the Planck Length-Time to the outer limits, first defined by a simple continuity and symmetry within 3D tilings and tessellations that by that 67th doubling manifest more complexity than all the evolutionary thinking within CERN could possibly imagine. We may just find that Jane’s intuitions served her well. For me, I say that we must find a way to take Kepler one step further so we can begin to harmonize this little universe. Of course, I do not anticipate a response. We wish you and Prof. Dr. Steven Weinberg well.
First email: August 3, 2014, 9:29 PM
My dear Prof. Dr. Stephen Hawking:
I think our high school geometry classes, although very rough around the edges with major conceptual leaps, is closing in on a very real, elegant, simple model of the universe that involves base-2 exponential notations to define the boundary conditions from the Planck Length to the Observable Universe. It includes 3D tilings that begin with a tetrahedral-octahedral truss, then considers the parallel construct to music (and takes Kepler one step further so to harmonize within this little universe).
Tweet: 11:25 AM · January 13, 2021 @skdh (SabineHossenfelder): You are brilliant, a lightbulb for the sun. Our favorites, Kepler and Wilczek, play their violins as we contemplate pi over an Italian dinner. Yes, that simple pi with its deep continuity, those ubiquitous symmetries, and never-ending harmonies, and ask, “Is that all there is…”
My editorial note: Sabine’s book, Lost in Math, is indeed, quite brilliant, but all our complexity within mathematics and physics leads back to pi and the sphere. Add the Planck base units, and apply a bit of base-2 exponentiation, and you have yourself a most-simple beginning of a model of the universe.
Most recent email: 5 April 2020
Since 2016 I have probably wasted a huge chunk of my time exploring and re-exploring our little base-2 model of the universe from the Planck scale, particularly Planck Time to this moment, our current time, all in 202 notations.
In that same time you’ve gotten a most, prestigious new job, published a most provocative book, Lost in Math with Basic Books (2018), written a dozen technical articles that appear in ArXiv and many of the best journals, have had dozens of articles written about you, and richly extended your blogging within Backreaction. Your production values climb as you continue to extend your YouTube activities and you burn the lines of Twitter. You’re (expletive) incredible. Congratulations. You’ve become a super star!
…and all the while I’ve become more and more idiosyncratic out here inside an Alice-in-Wonderland passage into the Planck’s base units.
Third email: Aug 15, 2018, 8:13 PM (slight corrections)
I don’t come out of my shell too often. Old age is catching up to me.
Regarding our base-2 model of the universe from the Planck units to current time all within just 202 notations or doublings, I am rather sure that you find it all quite idiosyncratic. It is. But, is it going in the right direction? Is it more right than wrong? How about the simple logic? Is the universe a highly-integrated whole?
Allow me please to include a recent “Ten Functions To Construct Our Universe.” Your comments and criticisms would be highly appreciated.
Ten Functions To Construct Our Universe
202.34 successive doublings of the Planck scale outline our universe.
It was a genuine question. No trick. And, you understood the question in the proper context. I appreciate your answer.
That is what I thought, but I certainly do not have the depth of knowledge or scholarship to know with any certainty if life becomes more than peculiar at that point, i.e. the Planck length.
I was looking for an informed scholar’s deep-seated insights regarding the functional nature of the Planck length.
It is so small, so seemingly unknown-but-known, I decided to explore it in some manner of speaking. In the first 20 steps of exponential, base-2 notation, that s-called point, a width/length/height expands to over one million points (or lines or strings or forms or …. ) and, I assume, a specific length/width/height.
Do you happen to know Ed Fredkin (MIT, Carnegie Mellon, BU)?
He was a long-standing friend of a mutual friend, so while talking about life, I asked him about the Planck length. He responded that exponential, base-2 notation of the Planck length is numerology with physics. Essentially it’s meaningless.
I am not so sure.
If we were to assume that math, particularly simple geometry applies across all space and time, right down to the Planck Length, then those million of points begin to have some value.
Is that a faulty assumption?
I have been thinking about these concepts since December 2011 while preparing for that geometry class. I hadn’t seen base-2 from the Planck Length to the edges of the observable universe — I just thought that I had fallen asleep in those classes when this topic was introduced, yet after doing some due diligence, it appears to be an oversight.
I would dearly appreciate any insight you may add to this direction of thinking. Thank you.
Our idiosyncratic model of the universe is different: 1. The infinite-finite relation is unique — the infinite is the qualitative expression of continuity (order), symmetry (relations), and harmony (dynamics) while the finite is the quantitative expression of continuity, symmetry, and harmony. For me, any other definition of the infinite has too much historicity that is limited within time. 2. The initial perfections of the qualitative is challenged by the geometric gap of the five tetrahedral configuration. It becomes the grounds for quantum fluctuations which becomes systemic before Notation-64 where particles and waves begin to manifest.
The fact that the speed of light is confirmed within .01% of laboratory-defined speed at the one second mark between Notation-143 and Notation-144 and then again with a light year between Notation-168-and-169 is sweet.
When it comes to testing new ideas, we are all fools albeit some of us more foolish than others given those quantum leaps and impatience with incrementalism.
I wish you well. We all must try to stay healthy in these very odd times.
Most sincerely, Bruce
Sixth email: Thu, Jun 1, 2017 at 5:39 PM
Subject: Fwd: Do our simple mathematics at all jive? I hope so.
Hi Max –
Whenever I quote somebody’s work, I send a copy of that reference.
We all should know your work and your thinking. To that end, we have a Max Tegmark page within our website (Editor’s note: This page!)
We live in such crazy times and I believe a lot of it has to do with Stephen Hawking’s dystopian, nihilistic bang. Also, to address your desire to throw out infinity, I have offered a redefinition (only highlighted here within this document).
Our naive model has a simple logic, a most-simple start, and simple mathematics. It is all-inclusive yet particularized. And, it also has a simple logical start for infinity, indeterminacy, fluctuations, incompleteness, and imperfections.
So I ask myself, “Why not try to integrate it with the Standard Model of Physics, with quantum gravity, and with the ΛCDM model?” Would you advise us? Thank you.
Most sincerely, Bruce ********* Bruce, as the Editor, answers his own note on 27 March 2020: “Advise…? So, you want advice? Here’s my advice as a question: What, are you crazy?”
Your endearing smile and wonderful openness should have the world on your doorstep. Congratulations on all that you do.
Of course, the big bang is one of those answers that only a fool would dare question. So, here I stand among the fools. We’re just high school folks; we claim no special status, so maybe we can be excused for being nicely idiosyncratic and naive!
I think you might enjoy seeing the numbers all filled in from the Planck base units to the Age of the Universe using base-2 notation. Boeke’s Cosmic View looks a little timid by comparison. Even ‘t Hooft’s Time in the Powers of Ten misses too much. If you have a moment — it is looking for a special critique.
Is it solipsistic poppycock? That chart is big; it is horizontally-scrolled, starts with the five Planck base units (and some simple geometries), and it is carried out the 200+ notations to the Age of the Universe. You can follow the changes of each base unit in contrast to the others. There are over 1000 simple-simple-simple calculations. But, simple is good. It tells a bold and dramatic story but it may have more to do with fantasy than reality… but I don’t think so. I respect you too much to waste your time that way.
Is it possible that the universe started with those infinitesimally small numbers and grew quietly and rather prodigiously and all rather quickly? Of the 200+ notations, the first second is between 143 and 144. The first light year is between 168 and 169. And the first million years between 188 and 189.
That small scale universe, 1-67, could be a new science and math. Maybe Langlands is on the right path after all. Below I’ll post some of the other work-in-progress asking for critical review! Thank you.
Your website is sensational! Thank you for all that you do to stimulate scholarship and creative thinking!
An automated response: September 22, 2014:
Thanks for your LinkedIn invitation, which I’m going to accept shortly! Although there’s essentially no information on my LinkedIn page, I have an active public Facebook page where you can connect and discuss with me and others intrigued by science and life’s big questions. I very much hope you’ll join me there! Just surf over to the link below and click “like”:
I was 20 when you came into this world, I suspect you came in feet first. So much standing comedy in all that you are and do. It is entirely refreshing. I am enjoying your pages-and-writing immensely.
I am on a search for simple wisdom. I’m a simple person.
But, I do have a seriously silly question for you. It started when I was asked to substitute for my nephew a couple of years ago. He was to have a second child and I got his five geometry classes for a few days. I wanted to stand them on their head a little, so they actually made models of the “Big Five.” They took a tetrahedron, divided the edges in half, connected the new vertices, and bingo, there is a tetrahedron in each corner and an octahedron in the middle. Then, the same with the octahedron, with six baby octahedrons in the corners and eight tetrahedrons in the faces, all sharing a centerpoint.” That’s a goldmine and you kids have got to go in there and start digging!”
That was the beginning of my regression. The next time, Stevie wanted to take his bride on a fifth-anniversary cruise and left me with those buggers on the last day of class before the Christmas recess, Monday, December 19, 2011.
“Come one, come all, see the universe and everything in it from the smallest to the largest measurement in about 202 steps!”
We used the Planck Length and started multiplying by 2. Within a relatively short time, we had the entire universe looking like a Planck Factory. Everything had a place. Geometry was pervasive. Here was the homunculus of all homunculi. One part Plato, add a little relativistic aether, and mix well into the first sixty steps — nobody seems to have explored 2-to-60, possibly 64 (just before getting hit with any sensibility and a neutrino and quark).
Absolutely crazy?!? Worth exploring further??? Or, shall I tell the kids to come out of that cave?
Please, help to debunk this crazy Alice-in-Wonderland hole that I’ve dropped into….
I am a television producer. But recently, I was asked to substitute for a high school geometry teacher, a nephew. He asked me to introduce the kids to Plato’s five. It would be my second time with them, so I had to expand my own horizon a bit for my visit on December 19, 2011.
The first time I had them, back in March 2011, they made icosahedrons out of 20 tetrahedrons. I called it squishy geometry and said that it probably fits into quantum geometries or imperfect geometry somewhere and somehow, but I couldn’t find any online references to it. This link goes to pictures of those icosahedrons.
I thought, “…speculative, fanciful thinking, probably just nonsense.”
Yet, just after that first encounter, I became impatient with my little paper model of a dodecahedron. I took the same pentagonal groups of five tetrahedrons, and attached twelve of them together. I filled it with PlayDoh, then tried to discern what was inside.
A smaller icoshedron was in the center of the thing. Fascinating for me. No study of it online yet. I found a name – hexacontagon — but none in the shape of this particular pseudo-dodecahedron.
I’ve been looking inside those five-tetrahedral structures for awhile. A week before that class, I asked, “How far within, how many steps by dividing by 2, would I have to go to get to the range of Planck’s length?” I assumed thousands. Nope. Just 118 steps! There I was, dividing one meter by 2 and then by 2 again u.s.w until 1.6×10−35or Planck’s length. Then I thought about the large scale universe and in 91 steps I was out in the range of 1027 meters and the edge of the observable universe.
I hadn’t seen such an application of scientific notation so I made it up and produced a colorful chart for the class: https://81018.com/big-board/