Fourier Forecasting Discussion
At deserdi.xyz, our work starts with the attempt to mathematically unlock the universal hologram, in a pragmatic way which satisfies the scientific prerequisite: namely the prediction of future events from past events. Our approach should apply to all measurables, whether they be microscopic entities or larger scale phenomena. The master forecasting files (backwards and forwards) are {bork.m} and {fork.m}, respectively. Both make use of the {forksub.m} sub-routine. The 'meat' of our approach appears as our MATLAB code, comprising a number of separate master routines along with sub-routines that appear on the last page of the website.
Algorithmic prescience raises some daunting spiritual and ethical conundrums, a purely spiritual and psychological version of which came to Helen Schucman, scribe of "A Course in Miracles," in the form of a test wherein she chose to bypass the individual temporal power that was offered by her spiritual gift of prescience, and 'roll up' her vision of the script-like scroll of time and space until it only read "God is." I speculate that this temptation was on-going for her, yet in her beneficence, she rarely was pulled too far from the Present Moment and her commitment to healing service.
In a quantum world, the future, the past, and (most importantly for our experience) our memory of the past all spring anew each moment out of the Present Now. Our memory of the past is invariably distorted and subject to psychological projection, and it is the unforgiven grievances we hold that ensure that the misery of the past will be repeated. As "A Course in Miracles" states, in order to free the future, we selectively forget the unforgiven past.
Forecasting raises some complicated issues. Left in the hands of a few, it could be used to concentrate temporal power. Given to many, post-casting may change our view of science, nature, and even financial markets in a way that some find disillusioning, while others find heartening. Given the predictive power of the forecasting methods already in the literature, it behooves us to remember that we can't account for all variables, and an attempt to manipulate markets or, for example, predict the weather may be stymied by the bus coming around the corner, or the rage of the homeless man that we disrespect, all while we distractedly ruminate on our prospective financial gains, or whatever mindless thing we may pre-occupied with.
This is not just a manner of inattentiveness to random events - when we pit ourselves against any collective of egos (and that is what a non-value additive market amounts to), the Unconscious reacts in a non-linear fashion. Furthermore, a moment of Mindfulness in the Present can change both the past and the actual future together - as one - and render predictions null and void. This is what author Gary Renard refers to as going through a Forgiveness Wormhole. In a Quantum World, the solidity of a forecasted future depends upon a remembered, or recorded past. As A Course in Miracles states, in order to free the future, we forget the past, whether in terms of the unforgiven grievances to which the Course refers, or, in the case of forecasting, the data points that participate in our memory of the past.
We would suspect that computers that use post-casting for ethically unsound purpose would more likely be targeted by the Unconscious for malfunction, or that action on predictions would more likely be blocked by Unconscious forces. In this world, even with pre- and post-casting potentially available, the Unconscious runs the show, and the game of life remains, whether we be of theistic or atheistic bent, one of staying centered, managing transference, undoing guilt, forgiving trespasses, regulating emotion, comedic timing informed by intuition, and the home-grown miracles by which we all live and progress on the way to our true Home.
Psychological projection and grievances are not limited to humans: the Animal, Plant, and Mineral Kingdoms are all conscious, alive, and will ultimately unlearn the ego as humanity is just beginning to. All of these spiritual insights, I should say, are borrowed from the human spiritual sangha (community), and do not come directly from me.
With other versions of post-casting already discussed in peer-reviewed literature, and the insights emerging here, it remains to be asked: do more and more accurate predictions of the weather, for instance, guarantee that the weather will be 'worse?' Does an obsession with control just keep us spinning our wheels, both in regards to a desired outcome for any kind of 'data,' or for our lived experience itself? And does forgiveness lead the way slowly back to an (at least mental and emotional) "Garden of Eden" from which we can see clearly enough to ask and have our final questions answered? ...food for thought (and perhaps, meditation and prayer).
The MATLAB forecasting routines and subroutines available on the last page of this website capitalize on the correspondence between frequency-domain expansion and time-domain contraction. We utilize a process which could be called "contextual signal processing" to generate an expanded frequency-domain representation of the original signal, which corresponds with time-domain contraction (as well as a doubling of the number of points in the signal), thus yielding the desired non-bandlimited forecast in time.
We don't want to go into too much detail in this discussion, as the MATLAB code does have explanatory comments, but we trust that the casual reader can "skim and skip-over" the stuff they don't need.
For starters, "contextual signal processing" capitalizes on a phenomenon where zeroed-out components in the frequency-domain cast a "phantom-shadow" of their inverse DFT in the time-domain, if they had actually been filled in and "riding solo" (without context), but only in those portions of the time signal that have null values when the signal is fully embodied. These phantom signals are clearly produced by the non-zero frequency components which provide a "context" for the zeroed-out frequency components, hence the name contextual signal processing. This phenomenon is likely a product of the holographic nature of the Fourier transform.
To start our expansion process we interleave two sets of our time signal with zeros, to create "nulls" in our signal where there had originally been none. The first set has even-numbered "nulls" which are interleaved with our input data - after the data undergoes a one-half point shift to the right. The second set must be interleaved with even-numbered zeros, also, but with no shift taking place. We should mention that this interleaving with zeros changes the DFT of the resultant signals, in effect "doubling them up."
Next comes an expansion of the frequency-domain signal corresponding with the desired forecast, represented at first by an interleaving in the frequency-domain of zeroed-out half-integer odd-numbered frequencies. This process in turn, casts a phantom signal in our two time-based null signals. By harvesting the values now found in the two sets of time-based "nulls" [accomplished by down-sampling each set by a factor of (4x), with offsets] and weaving them together with an "interleave" command, we arrive "half-way there" with the exception of having some interspersed points unknown and missing.
We can't get actual values for these points, but since our original expanded DFT was "doubled-up", we can set these unknown points to zero, and invert our second set of "null-values" - as if the signal had been multiplied by a purely real cosine function, which shifts the DFT both right and left by (pi/2) - giving a flipped version of our desired doubled-up DFT. We take one-half length of our doubled-up DFT and undo the "flip" distortion before proceeding with our forecast signal DFT construction. To harvest the desired odd-frequency components from what results, we simply down-sample by a factor of two, with a one-point off-set.
To continue, we interleave our harvested and corrected odd-frequency components with the DFT of the original input data to obtain the fully embodied DFT of a non-bandlimited forecasted signal - which, upon taking an inverse DFT to return to the time-domain and appropriate scaling (x2), is expected to furnish our time-based forecasted signal.
Such potential forecasts of recent-past data from slightly older-past data, seem to suggest that, indeed, without moments of mindfulness and forgiveness (which happen in the Present Now countless times throughout the day, and especially, the workday), the future is a kind of mirror reflection of the past, filtered through the "smoke and mirrors" of ego perception.
Due to a problem with our computer running MATLAB scripts, we were limited to "command line" entry of code, and could only present demonstration files for the Fourier forecasting algorithm presented on this page. Below, please find two audio clips. File "A" is a near ten-second long clip from U2's song "Ultraviolet," and comprises the input to our forecasting algorithm. If successful, the output, File "B," will be double length, the first half being a repeat of the input, and the second half being an intelligible continuation (forecast) of the input.
