Monday, June 23, 2025

Axioms of Sanjoy Nath's Wave physics as per Qhenomenology Reasoning Systems

 

Axioms of Sanjoy Nath's Wave physics as per Qhenomenology Reasoning Systems

SANJOY NATH'S QHENOMENOLOGY Reasoning For Wave Physics (not Phenomenology) is a new physics reasoning system for wave and signal processing that strictly avoids sin-cos decomposition, Fourier Transform, or FFT-based methods.

AXIOM 1: Waves are NOT treated as sums of sin and cos. Qhenomenology never uses Fourier or FFT for analyzing digital signals or waveforms.

AXIOM 2: A horizontal baseline (0,0 line) is defined as the average amplitude of the full waveform. Amplitudes above it are positive, below it are negative. Zero-crossings are referenced to this average, not absolute zero.

AXIOM 3: Waves are strict queues of alternating CREST and TROUGH AABB objects—each a transparent rectangle bounding region with amplitude tips. CREST boxes have origin at bottom-left; TROUGHS at top-left. These origins are aligned to the average amplitude line (0,0). Each CREST/TROUGH has a serial index in the queue, forming a strict sequence.

AXIOM 3+: Actual amplitudes are discarded during analysis. Only statistical features of each AABB object are retained: max width (in µs), max height (amplitude), CG (center of gravity), and statistical moments like std-dev, skewness, kurtosis.

AXIOM 3++: Queued AABB objects are dismantled and stacked with all left margins aligned at (0,0). This stack of transparent AABB CRESTs and TROUGHS shows vertical alignments of CG points (blue for crests, red for troughs). These form vertical lines when frequencies are present—without FFT or trigonometric processing. Tested on 380,000 WAV files.

AXIOM 6: The widths of CRESTs and TROUGHS (in µs) inversely relate to perceived tone frequency. As frequency rises, AABB widths shrink; as frequency drops, widths expand. Number of such objects per second changes accordingly, and vertical CG alignments in the stacked view reveal the number of frequency components present.

AXIOM 7: Terms like “wavelength” and “frequency” are not required for analyzing or understanding waves. Signals can be completely analyzed using CG positions and AABB stack structures—no sine, cosine, or frequency terms needed.

AXIOM 8: The wave can be reconstructed using random amplitudes within each AABB as long as the CG geometry is preserved. The spectral stacking behavior (vertical CG lines) remains unchanged. Spectral behavior is thus geometry-dependent, not amplitude-specific.

AXIOM 9: In optics, Qhenomenology replaces photons with stacked CREST and TROUGH AABBs. During slit or crystal interference, queue structures collapse into CG-aligned stacks that form what appear to be vertical frequency spectra. These are not actual frequency spectra but visual artifacts of CG stacking geometry.

 

 

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