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. Expansion and contraction are really being engineered at the DFT and "double-DFT" domains, with the DFT structured as if it were a time-based set of half-length data points, in order to facilitate an "up-sampling" of a reconstructed frequency domain signal, which corresponds to a band-limited forecast in time.

At first glance, a contraction of our "double-DFT" has an unknown midsection, which we set to zero. Then, we use a phenomenon whereby zeroed-out components of, for example, a frequency-domain DFT end up producing a negative phantom signal of those same components in the time-domain portions where the net signal would otherwise have been null. The only difference is that, rather than frequency and time, we are doing "double-DFT" and modified (foreshortened) frequency domains.

There at first appears a problem with getting all the phantom components we need, as they are occluded and mixed with other components at the front-end of the signal, whereas the nulls are at the back-end, but this is remedied by doing three signal reversals, the second of which is only made partially manifest, leaving us in a "limbo" between two and three reversals. In this "limbo-state" we can harvest modified versions of the front-end phantom frequencies, and, after we have them, correct for the distortions that were induced by being "in-limbo."

"Double-DFT" contraction is not all that is required, however, to give an authentically up-sampled DFT representation for our forecasting efforts. The original "double-DFT," when contracted, contains implied aliasing, which must be subtracted out using a reflection of our newly calculated midsection. This is simply a folded version of the newly calculated midsection, subtracted off from the original front and back sections of the "double-DFT."

From here forward, the documentation of the MATLAB code itself should suffice in explanation. This little "method" might be called "contextual signal processing" since the value of zeroed-out double-DFT "frequencies" are gleaned from "frequency-domain" data which manifests in the nulls - and which is informed by the "tangible" double-DFT frequencies which form the "context" of the zeroed-out frequencies.

For results, we use .wav File "A" (below) as an input file to Fourier forecasting {fork.m}. It consists of a 22050Hz sampled, around ten second long audio clip from U2's song "Ultraviolet," downloaded from Wikipedia. We pass this input file through {fork.m}. If the algorithm and its subroutines are successful, the output File "B" (again, below) should contain a double-length intelligible continuation of the song, thereby demonstrating the holographic nature of measured time series.