Tuesday, May 24, 2016


With this post I have now published 212 dissertations on this site. They have been posted over the past 3 years and 8 months in an effort to make the results of the work of a lifetime of almost 80 years available to anyone who is interested. For many years I have believed that mainstream science has tragically wandered into the dead end of materialism, and I have also believed that it can be put back on the track to real discovery and positive progress by recognizing that the physical universe available to our senses is in fact, only a small part of reality. I also expected that when consciousness is properly included in the equations comprising the scientific model of reality, new horizons beyond belief would be opened. That expectation has been slowly realized over the past 30 years. The pace of important findings and discoveries has increased significantly over the last six plus years during which I have worked in collaboration with Dr. Vernon M. Neppe.

In this post, I will attempt to summarize what I consider to be the most important findings in a way that anyone can understand. I believe it is important that I do so, because right now is the time that the truth I have been privileged to help bring to light is more important than ever before. We stand right now at the most critical juncture in human history. We can choose to go beyond the limitations of mechanical animal existence with the development of human consciousness and achieve the real purpose of all existence, or we can become just another failed species. The choice is ours.
Why is this information so critical at this time? Because mainstream science, while wonderfully successful at improving our animal comforts, technical applications, and the ability to destroy ourselves, has failed us miserably by turning its back on the part of reality that is most important to our survival: the spiritual essence of being, of which physical existence is but a miniscule part. It is time for scientists to open their eyes to the vast reality that lies beyond the purely physical.

The most important development of human civilization, and consciousness in general, is real spiritual advancement. Physical and intellectual development can be supportive of spiritual advancement, but they are secondary to genuine spiritual progress which underlies and drives all positive change. Social, political and philosophical development have often run counter to real spiritual advancement because institutional behavior tends to magnify the weaknesses and negative traits of the individual. The larger the institution, even though it may be organized with good intent, the more it magnifies negative tendencies. We will allow things to happen in the name of country, organized religion, or even institutional science that we would never do as individuals.

What I wish to illuminate here is the backbone of the logic of reality, reflected in certain aspects of the history of mathematics and the corresponding rise and fall of civilization on this planet. It is hidden in three threads running through the conscious minds of mathematicians, natural philosophers and scientists from the end of the last ice age, about 12,000 BC, to the time of the known ancient civilizations: the Sumerians (4000 – 1600 BC), the Minoans (3000 – 1400 BC), and the Ancient Egyptians (4000 -1200 BC), to the Greeks: Thales (624 – 527 BC), Pythagoras (569 – 495 BC), Plato (428 -348 BC), Aristotle (384 – 322 BC), Euclid (330 – 260 BC), Archimedes (287 – 212 BC), Eratosthenes (276 – 194 BC), Hipparchus (190 – 120 BC), Geminus (10 BC – 60 AD), Menelaus (70 – 130), Ptolemy (85 – 165), Diophantus (200 – 284 ), and Theron (335 – 405), to the Arabs and Persians: Al-Khwarizmi (780 – 850), Abu Kamil (850 – 930), Omar Khayyam (1048 – 1131), to the Western Europeans: Fibonacci (1170 – 1250), Levi ben Gerson (1288 – 1344), Nicholas Kryffs (1401 – 1464), Cardan (1501 – 1576), Fermat (1601 – 1665), Leibniz (1646 – 1716), Euler (1707 – 1783), Gauss (1777 – 1855), Georg Cantor (1845 – 1918), Max Planck (1858 – 1947), Hermann Minkowski (1804 – 1909), Albert Einstein (1879 – 1955), Wolfgang Pauli (1900 – 1958), Kurt Gӧdel (1906 -1978), and G. Spencer Brown (1923 -  ). The gap from 1200 BC to 600 BC, between the end of the known ancient civilizations and the development of mathematics by the Greeks was bridged to some extent by Chinese, Hindu and Hebrew mathematics.

The idea that mathematics and civilization have advanced from virtually nothing to the current status during the past 3000 years is a fiction derived from the egoism of Western science, and it is a fiction not supported by fact. It is more likely that the viewpoint of Sri Yukteswar Giri (“The Holy Science”, written in 1894), derived from ancient Vedic texts, is true. Sri Yukteswar concludes that the development of consciousness, and consequently civilization, is cyclic, like everything else. There is ample evidence for this all over the planet. There are many megalithic structures dating from during, and even before the known ancient civilizations that we cannot duplicate today. The construction of many of them, like Gobeki Tepe in Turkey (dated about 10,000 BC), the Aswan obelisk (dated about 1500 BC) and Puma Punku in Peru (dated about 500 AD) required mathematics and engineering techniques unknown to mainstream science today.

The three threads of mathematics reflecting the logic of reality are the threads of geometry, algebra and number theory. How do these three aspects of mathematics reflect and describe the nature of reality? The images constructed in conscious minds depend upon the ability of conscious entities to recognize distinctions, - first the distinction of self from other, and then the recognition of finite distinctions (objects) within self and other. Distinctions consist of distinct shapes, with specific properties and meanings. Shapes, (geometric forms) are described using variables of extent, like height, width and depth. Distinct shapes may contain variable amounts of mass and energy, which may be described using variables of content. Distinctions existing in reality may also have other properties that impact the consciousness of the observer, or have meaning to the observer, like mechanical or organic motivation, that may be described in variables of impact or intent that are relative to the status of the observing entity.  Mathematics is the logical language describing the distinctions making up the structure and dynamics of reality in terms of the variables of extent, content and impact or intent.

A calculus is a system of logical operations that permit calculation, where calculation is defined as the transformation of distinctions of one form into an equivalent distinction or distinctions of another form or forms. The operations that make up a calculus are the logical processes of the differentiation of variables, combination of shapes and integration of the properties of the distinctions to which the calculus applies. Every calculus has an arithmetic, an algebra and a scope of application. The details of calculi in general and the differential and integral calculus of Newton and Leibniz in particular, known for 300 years as ‘the calculus’ are beyond the scope of this post, but can be found in advanced mathematics texts. But it is relevant here to point out that the arithmetic of a calculus is based on quantitative distinction, enumeration and equivalence, and the operations that define the arithmetic are addition, subtraction, multiplication, and division, which may be commutative and/or associative, depending on the properties of the group of distinctions to which it applies.

As explained in previous posts, the calculus of Newton and Leibniz is only applicable in the mid-range scale of reality. It yields erroneous results at the extremely large scale of relative velocity and space-time, and it gives inaccurate, and sometimes wildly incorrect results at the extremely small scale of the quantum. The solution at the upper extremes of observation and measurement is not difficult. Accurate calculations and predictions are obtained by applying relativistic corrections. But the solution at the lower extreme is a bit more difficult. It requires a calculus of discrete variables. Some of the elements of such a calculus are already available to us in the works of some of the mathematicians and scientists listed above. They are specifically: Pythagoras, Euclid, Diophantus, Fermat, Planck, Minkowski, Einstein, Gӧdel, Pauli, and Brown. Adapting and expanding Brown’s Laws of Form, applying Gӧdel’s incompleteness Theorem, the multi-dimensional approach of Pauli and Minkowski, Einstein’s relativity, Planck’s quantization, the Pythagorean theorem, Euclid’s axiomatic approach, and Fermat’s Last theorem (see the Posts on putting consciousness into the equations), I derived the Calculus of Distinctions, Dimensional Extrapolation, the Conveyance Equation, and the TRUE quantum unit, as the most basic distinction of quantized reality. This approach completes the re-uniting of geometry, Diophantine algebra and number theory in a logical system capable of modeling reality. The result is the new mathematics of TDVP, the appropriate metaphysical basis for exploring the nature of reality.

The Triadic Dimensional Vortical Paradigm (TDVP) has provided a comprehensive model resolving paradoxes, and answering numerous questions that have puzzled mainstream scientists for decades. See lists and details in previous posts. The mathematics of TDVP describes the quantized geology, algebra and numerical nature of reality in terms of a truly quantum unit, the Triadic Rotational Unit of Equivalence derived from Large Hadron Collider data, and the principles of relativity and quantum physics.

Application of TRUE analysis to quarks, electrons, protons and neutrons, and the natural elements of the Periodic Table, has revealed a reality of three spatial dimensions, three time-like dimensions, and three dimensions of consciousness embedded in an infinite substrate of intelligence. It has also revealed the necessity of a third non-material form of the essence of reality that must exist in the universe in order for the dynamically stable structures of the universe to exist. So now we know why the universe is so fine tuned for life. Finite manifestation of Cosmic Consciousness, in the form of gimmel, the third form of the essence of reality, had to exist before the first particle of the physical universe could form, and thus we have the answers to the most basic puzzles of all: Why there is something instead of nothing? Who are we, and what is the meaning of existence and the purpose of life? 

We are sparks of the Infinite, inhabiting finite vehicles in space-time in order to learn how to live and grow into our cosmic potential. 


  1. Shared on all my sites, Ed, with the following comment:

    ‘We are sparks of the Infinite, inhabiting finite vehicles in space-time in order to live and grow into our cosmic potential.’ This final statement can only serve to endorse the ‘life-after-life’, ad infinitum, edicts of this mystically-inspired site. Earlier, it is also stated: ‘We can choose to go beyond the limitations of mechanical animal existence with the development of human consciousness and achieve the real purpose of all existence, or we can become just another failed species. The choice is ours.’ Well, fellow travellers, it must be obvious, from the previous posts on this site and what’s proclaimed in my quartet ‘On the Square plus One’, as to what my choice has long since been – I, therefore, welcome anyone to join me on what hopefully will be this ‘wonderland odyssey’, and may the Ultimate Force be with us all! Amun!

  2. Thank you for the summary, Edward. You have done wonderful work and I don't want to take anything away from it. However, I think perspective matters, and mathematics may be important for beings like us who have a very limited understanding of consciousness. I have had the privilege of talking to beings who can exist in physical and non-physical form. In either form, they retain full awareness. The craft of some of these beings are seen by people now and then. The beings don't use a number system and so had to learn that from us in order to communicate. I asked how they navigated in their craft, and was told they use a telepathic ability to communicate with each other. They feel an intuitive pressure that tells them how close they are to an objective in space and time. You seemed to imply that math is a universal language, so I felt compelled to say that it may be more of a cultural phenomenon that makes up for our shortcomings in other ways. Regards, William

  3. Thank you William for the comment! Mathematics as I am referring to it is far more than number. Conscious beings, whether in physical bodies or more subtle non-physical bodies, have to make distinctions in order to function in the dimensional domain that we perceive through our physical senses. The calculus of Distinctions is the formalization of the logic that relates distinctions of any kind. Intuitive awareness does not have to be quantized in order to function, but must obey universal logic, otherwise it would be chaotic and random.

  4. Edward, these beings I mentioned understand the concept of the ordinal scale but not the rational scale. So, for example, they would say that a state of consciousness is greater than, equal to, or less than another state of consciousness. Perhaps this is what you mean by universal logic.

    In order to communicate, the being controls a person, the medium, and it uses the medium’s linguistic knowledge. There was some confusion for a while because they equated state of consciousness with frequency. Frequency is a rational number, and so they finally acknowledged that they used frequency as an analogy for state of consciousness. They do not have rational units of measurement, so they do not have something that corresponds to Hz.

    These beings do not compute with numbers but that does not mean that they do not use a form of logic. For example, the intuitive pressures they feel only make sense if the pressures are differentiated on at least an ordinal scale.

    You refer to geometry, algebra and number theory as important for understanding the logic of reality. Maybe all that is really required is the ability to differentiate on an ordinal scale. Is the use of numbers only a requirement for the human race which does not have direct telepathic perceptions? If they did, they might also not need numeric representations as a form of memory.

  5. Thank you for your comments William. I really appreciate the opportunity to communicate more clearly.
    The reality of consciousness is the awareness of the distinction of self from other. All distinctions of whatever kind, are forever related to, and derived from, that primary distinction of self from other. Communication between conscious beings is certainly possible using only an ordinal scale. But that communication is limited to images and concepts common to both communicating entities. The success or failure of the communication is directly related to the degree to which the concepts and images in the consciousness of the communicating entities are identical, similar or dissimilar. All concepts and images in the consciousness of sentient beings are composed of distinctions. These distinctions may be distinctions of extent (geometric), content (algebraic), intent (with conscious meaning), or impact (quantitative).
    Reality is not random or meaningless. All of the concepts and images perceived by conscious entities are built up of a variety of distinctions, and those distinctions, whether received as cardinal, ordinal, fractional, fractal, geometric, algebraic, holographic, or of any other kind, are meaningless unless related to each other and to the distinctions in the consciousness of the entities involved by the universal logic of existential distinctions. I call that logic the Calculus of Distinctions. The direct telepathic sharing of images may not require quantification unless the communicating entities actually interact in the 3S-1t, space-time domain. In that case, quantification becomes necessary because interaction without knowing the relative scale of mass/energy exchange could be dangerous and/or disastrous. For example, if the relative mass/energy scales of the interacting entities are vastly different, not knowing the quantitative difference in scale could result in one entity crushing or blowing away the other without meaning to do so.

  6. Hello Edward, I have read some of your work, including Transcendental Physics which I found very useful in a recent examination of the illusion of matter. I also found your online article on the calculus of distinctions interesting, but that was some time ago when I read that. I have not yet seen your latest “Reality Begins with Consciousness” with Dr. Neppe. However, allow me to pursue further how your thoughts on distinctions might relate to the alien beings I mentioned earlier.

    The beings, who refer to themselves as the Zeta race, have a cosmology which we have documented in several books and articles. According to my understanding of their cosmology, infinite distinctions are intrinsic to consciousness. There is a dimension of “states of consciousness” or “vibrational states”, and this dimension is a property of primary consciousness. Consciousness is infinite or eternal, so no one can say if there was an initial dichotomy of self versus other. There were/are always infinite distinctions with respect to vibrational states.

    As well as this dimension of vibrational states, primary consciousness divided itself into many facets that are independent of each other so that it could learn about itself “in separation”. These facets include souls or spirits and the many realms in which they exist. So this is another type of distinction that exists in consciousness.

    In the Zeta cosmology, a being at a particular vibrational state cannot normally be aware of other beings at higher vibrational states. This is a property of consciousness. We can say that a being behaves like a low-pass filter with respect to vibrational states.

    Humans are separated from the Zetas by a difference in vibrational state. This difference interferes with our communication with them. We are not tuned to the same channel. When the human collective manages to raise its vibrational state to their level, we will have images and concepts in common so we can communicate (as you say).

    You suggested that a rational number scale is necessary so that two races can mutually calibrate in order to safely interact with one another. This would be necessary only if the races were operating at different states of consciousness. But since interaction between very different vibrational states is normally not possible, such mutual calibration with rational numbers is not needed. Races who share the same vibrational state should experience the same kind of environment energy-wise, and so would not require calibration either. So consciousness should get by safely without rational numbers. That is, the ordinal scale should be all that is required.

    Your last comment about uncalibrated contact between interacting entities possibly harming one or both is interesting though. There has been occasional physical contact engineered between Zetas and humans, and a human sometimes becomes ill. We were told that this was because of the difference in vibrational states or energies of the Zeta and human etheric bodies. I don’t see how rational numbers could have helped though. A simple “much greater” ordinal measurement should have sufficed to keep them apart.

    You mentioned four types of distinctions, and if I understand them correctly, it is only the distinction of content (algebraic) that is not part of the Zeta cosmology. I think I would agree that, according to that race as an example, consciousness requires only three types of distinctions - extent, intent, and impact. I would restrict impact to ordinal comparisons, given my argument above that rational numbers are not necessary under the indicated conditions.

    I may be wrong but I assume that content (algebraic) implies abstract arithmetic operations like addition and subtraction, multiplication and division? Distinctions of extent, intent, and impact I could imagine are ones my cat could make, and I believe my cat has consciousness. But distinctions of content (algebraic) may be a learned, culturally sensitive human construct if I understand it correctly.

    1. Thanks for your comments. It is very interesting that the concepts expressed by alien beings resonate with TDVP. I don't believe there was an initial dichotomy. In fact, I see beginnings and endings as relative to the individualized consciousness of finite beings, only. Reality is eternal. But for each individual, the first necessary distinction is the distinction of self from other. In TDVP, distinctions of content are finite distinctions in the substance of reality, like mass, energy and consciousness.

  7. "distinctions of content are finite distinctions in the substance of reality, like mass, energy and consciousness." Thanks, that helps a bit. I think I will have to read your book to properly understand the different types of distinctions.