-
Notifications
You must be signed in to change notification settings - Fork 1
/
Copy paththe_blog_2007.htm
747 lines (724 loc) · 53.4 KB
/
the_blog_2007.htm
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
<html>
<head>
<meta http-equiv="Content-Type" content="text/html; charset=utf-8">
<meta http-equiv="Content-Language" content="en-gb">
<meta name="GENERATOR" content="Microsoft FrontPage 4.0">
<meta name="ProgId" content="FrontPage.Editor.Document">
<meta name="description" content="The Author Page">
<meta name="keywords" content="physics, matter, standing waves, gravity, Relativity, Lorentz transformation, electron, atom, light, Doppler effect, fields, electricity, magnetism">
<title>The Blog (2007)</title>
</head>
<body bgcolor="#E1E1E1">
<p align="center"><font face="Times New Roman" size="6">The Blog (2007)</font></p>
<p align="center"><font face="Times New Roman" size="4"><a href="the_blog.htm">2008:
The Blog</a></font></p>
<p align="center"><font face="Times New Roman" size="4"><a href="decouvertes.htm">Before
2007 (French only)</a></font></p>
<P align=left><font face="Times New Roman" size="4"><a href="blog.htm"><img border="0" src="images/quebecois.gif"></a>
<a href="blog.htm"><img border="0" src="images/francais.gif"></a>
Home page: <a href="matter.htm">Matter is made of waves.</a></font></P>
<p align="center"><font face="Times New Roman" size="4"> </font></p>
<p align="center"><font face="Times New Roman" size="4">Please note
that I may be too busy to respond to your many messages. </font></p>
<p align="center"><font face="Times New Roman" size="4">Gabriel
LaFreniere <a href="mailto:[email protected]">[email protected]</a> </font></p>
<p align="center"><font face="Times New Roman" size="4"> </font></p>
<div align="center">
<table cellSpacing="0" cellPadding="0" width="800" border="0">
<tbody>
<tr>
<td width="100%"><font face="Times New Roman" size="4">
<p align="left"><b>December 17, 2007</b></p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">The
page on the <a href="sa_Doppler.htm">Doppler effect</a> have been
updated once again. Web browsers sometimes cannot display Greek symbols,
especially on Linux/Unix. So I finally decided to make many Gif images
to solve the problem.</p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">I
tried to make this page the simplest possible. The goal is to explain
Relativity, which is just a consequence of the Doppler effect. So
Relativity should be "relatively" simple... </p>
<p align="left"><b>December 6, 2007</b></p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">I
made a new video showing the <a href="sa_scanner.htm">Time Scanner</a>:</p>
<p align="center"><a href="avi/The_Time_Scanner_02.avi">The_Time_Scanner_02.avi</a></p>
<p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify">This video shows
that the Scanner can either produce or correct the Doppler effect.<p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify">Below
is another video showing better the same phenomenon without the Scanner.
Please note that Lorentz's time shift is actually a phase shift which becomes
well visible if the emitter is a hoop. So the emission process begins in the
rear; it is not
simultaneous for a given circular wavefront. This
phenomenon is especially amazing.
<p align="center"><a href="avi/Doppler_Lorentz_2D_standing_waves.avi">Doppler_Lorentz_2D_standing_waves.avi</a></p>
<p align="left"><b>December 2, 2007</b></p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">The
page on the <a href="sa_scanner.htm">Time Scanner</a> has
been fully updated.</p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">This
device is one of my favorite inventions. It works beautifully.</p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">It
is much more polyvalent than Lorentz's equations because it can handle
multiple transformations simultaneously, even transverse and oblique
ones. It can also perform the law of speed addition, which never
reaches the speed of light.</p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">And
finally, it is much more logical than Einstein's Relativity because it
always performs transformations without any "paradox". This
is not really a surprise because it reproduces perfectly Lorentz's
Relativity. </p>
<p align="left"><b>November 30, 2007</b></p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">The
page on the <a href="sa_Lorentz.htm">Lorentz transformations</a> has
been fully updated.</p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">This
page is likely to become a favorite because it does not severely hurts
scientists' well accepted ideas, at least for most of its content (see
"errors to correct" below, Nov. 24). However it goes farther
than Lorentz and certainly sheds some new light on his famous
transformations, especially because the Doppler effect is clearly
involved.</p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">It
is consistent with Lorentz's ideas, making it acceptable at first
glance. As a matter of fact, scientists are respectful to Lorentz
because he was a great discoverer. However they are definitely not
respectful to his transformations, which are severely
"transformed" today in a despicable manner. Here is an
example:</p>
<p align="center"><a href="http://en.wikipedia.org/wiki/Lorentz_transformation">http://en.wikipedia.org/wiki/Lorentz_transformation</a></p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">Let's
face it: Lorentz himself would be horrified. After all, those
transformations belong to him. They should be explained the way he
did, albeit one can still add his own point of view.</p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">I
pointed out how my Time Scanner can reproduce them in such a way that
they appear simpler. This device indeed produces the same Doppler
effect, slower frequency, length contraction and time shift in a
mechanical way. I even made a new video showing this:</p>
<p align="center"><a href="avi/The_Time_Scanner_01.avi">The_Time_Scanner_01.avi</a></p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">Linux
users could not see Greek characters because this operating system
does not display them correctly via the HTML code. I made more GIF
images in order to definitely solve the problem. Now, all equations
with Greek symbols should be displayed correctly in this page whatever
the OS or Internet browser. Linux users should be aware that many
other pages still display incorrect symbols.</p>
<p align="left"><b>November 24, 2007</b></p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">The
page <a href="sa_errors.htm">Errors to correct</a> is now available.</p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">Wrong ideas about matter are worse than no
ideas at all. They become an obstacle for further analysis.
Scientists admitted too quickly a lot of hypotheses which were never
clearly demonstrated. This page lists many of them.</p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">Scientists may sometimes be wrong. Whatever
their number is, it is not relevant because they all blindly
accept today's well accepted ideas without verifying them. On
the contrary, they reject this web site's content because it does not
seem consistent with those ideas, also without verifying it.</p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">To
say it shortly, they never verify. They just memorize. Surprisingly,
the lazy way is an effective one towards lucrative college and
university degrees, but it is nevertheless the best one towards error.</p>
<p align="left"><b>November 21, 2007</b></p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">My
new program on the Lorentz transformations displays the x' and t'
values for a given beta normalized speed. One can use the cursors to
modify beta, x and t. The program also displays a material body
undergoing the transformations. There is no surprise. All happens the
way Lorentz predicted.</p>
<p align="center"><a href="programs/Lorentz-Poincare-Doppler.bas">Lorentz-Poincare-Doppler.bas</a>
<a href="programs/Lorentz-Poincare-Doppler.exe">Lorentz-Poincare-Doppler.exe</a></p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">It
should be pointed out that Lorentz believed that Michelson's
interferometer should really contract. However, his equations rather
indicate an expansion (the goal was to correct the Doppler effect in
order to achieve a perfect invariance on Maxwell's equations). So they
must be reversed in order to yield the correct x' contracted values.</p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">However,
Henri Poincare's reversed equations were rather intended to retrieve
the x and t original values. The Lorentz Doppler reversed equations
are different: the x, x' and t, t' variables must be swapped. I found
a long time ago that those reversed equations produce a Doppler effect
involving a frequency reduction. So I also made a program showing
this: </p>
<p align="center"><a href="programs/Doppler_Voigt_transformations.bas">Doppler_Voigt_transformations.bas</a>
<a href="programs/Doppler_Voigt_transformations.exe">Doppler_Voigt_transformations.exe</a></p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">This
program proves that Lorentz's equations are just a special case of
Woldemar Voigt's equations on the Doppler effect (1887).</p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">Let's
make it clear: the Lorentz transformations are nothing but a Doppler
effect. Then, because the electron is a wave, it should undergo those
transformations. And finally, because molecule binding is achieved by
electrons, matter must also undergo the Lorentz transformations. So it
must contract.</p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">It
is that simple.</p>
<p align="left"><b>October 31, 2007</b></p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">I
made several DivX-MPEG-4 videos. The goal was to show that
Lorentz was right. He (and FitzGerald) discovered that Michelson's
interferometer cannot reveal the aether wind because a contraction
occurs on the displacement axis. This cancels the difference between
on-axis and orthogonal light paths.</p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">However,
in such a case, the 45° mirror or beam splitter should also undergo a
contraction, making the 90° reflection apparently incorrect. Many
scientists argued that the interferometer contraction was impossible.
Poincaré especially spoke about an "ad hoc" explanation
without any valid reason and finally, Lorentz's hypothesis was ruled
out. It was a huge mistake. Lorentz's contraction really occurs in
such a way that any observer moving along with a wave system can no
longer detect its motion. All seems to happen as if he was at rest.
This is Relativity.</p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">Those
videos show clearly that the mirror must be tilted to an additional
angle in order to reflect the light beam to the correct 90° angle. I
made one for all axes and directions, and also with the incorrect
45° angle. It turns out that the new angle is consistent with
Lorenz's contraction g factor. So the interferometer <b><i>must</i></b>
contract: there is no other logical explanation. <b><i>Lorentz was
right.</i></b> It is that simple.</p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">I
am of an opinion that this experience is even more important than
Michelson's. As far as I know, the light beam behavior inside the
moving apparatus has never been displayed. Thanks to Mr. Philippe
Delmotte's Virtual Aether, it is now possible. Many scientists don't
even know that the light beam waves must be tilted to the theta angle
= arc sin (v / c) in order to propagate transversally. Moreover, the
light beam itself including Fresnel's diffraction pattern undergoes
the on-axis contraction.</p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">Here
are the Videos:</p>
<p align="center"><a href="avi/Michelson_axial_forward_51_angle.avi">Michelson_axial_forward_51_angle.avi</a></p>
<p align="center"><a href="avi/Michelson_axial_forward_45_angle.avi">Michelson_axial_forward_45_angle.avi</a></p>
<p align="center"><a href="avi/Michelson_axial_backward_51_angle.avi">Michelson_axial_backward_51_angle.avi</a></p>
<p align="center"><a href="avi/Michelson_axial_backward_45_angle.avi">Michelson_axial_backward_45_angle.avi</a></p>
<p align="center"><a href="avi/Michelson_orthogonal_forward_51_angle.avi">Michelson_orthogonal_forward_51_angle.avi</a></p>
<p align="center"><a href="avi/Michelson_orthogonal_forward_45_angle.avi">Michelson_orthogonal_forward_45_angle.avi</a></p>
<p align="center"><a href="avi/Michelson_orthogonal_backward_51_angle.avi">Michelson_orthogonal_backward_51_angle.avi</a></p>
<p align="center"><a href="avi/Michelson_orthogonal_backward_45_angle.avi">Michelson_orthogonal_backward_45_angle.avi</a></p>
<p align="center"><a href="avi/Michelson_orthogonal_unmoving_45_angle.avi">Michelson_orthogonal_unmoving_45_angle.avi</a></p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify"> </p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">I
also made more videos showing how the Doppler effect transforms most
common wave phenomena. I used the Lorentz transformations (see Oct. 15
below), which produce a slower frequency, hence no transverse
wavelength contraction.</p>
<p align="center"><a href="avi/Doppler_Lorentz_two_sources.avi">Doppler_Lorentz_two_sources.avi</a></p>
<p align="center"><a href="avi/Doppler_Lorentz_2D_Airy_disk.avi">Doppler_Lorentz_2D_Airy_disk.avi</a></p>
<p align="center"><a href="avi/Doppler_Lorentz_2D_standing_waves.avi">Doppler_Lorentz_2D_standing_waves.avi</a></p>
<p align="center"><a href="avi/Doppler_Lorentz_2D_axial_Fresnel_diffraction.avi">Doppler_Lorentz_2D_axial_Fresnel_diffraction.avi</a></p>
<p align="center"><a href="avi/Doppler_Lorentz_2D_transverse_Fresnel_diffraction.avi">Doppler_Lorentz_2D_transverse_Fresnel_diffraction.avi</a></p>
<p align="left"><b>October 23, 2007</b></p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">The
page on <a href="sa_aether.htm">Aether</a> has been updated.</p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">It
now includes a program about oscillations:</p>
<p align="center"><a href="programs/Aether01_Dewavrin.bas">Aether01_Dewavrin.bas</a>
<a href="programs/Aether01_Dewavrin.exe">Aether01_Dewavrin.exe</a></p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">Mr.
Anselme Dewavrin's algorithm shows that the so-called error about
Euler's method is actually a true fact if aether granules are
involved. The step by step energy transfer mechanism introduces a
quantum effect as a result of the discrete nature of each step. This
amazingly simple algorithm goes like this:</p>
<p align="center"><font size="4"><span style="mso-fareast-font-family: Times New Roman; mso-ansi-language: FR-CA; mso-fareast-language: FR; mso-bidi-language: AR-SA" lang="FR-CA"> sine
= sine + </span><font face="Times New Roman">co</font><span style="mso-fareast-font-family: Times New Roman; mso-ansi-language: FR-CA; mso-fareast-language: FR; mso-bidi-language: AR-SA" lang="FR-CA">sine
* 2 * pi / lambda </span></font></p>
<p align="center"><font size="4"><span style="mso-fareast-font-family: Times New Roman; mso-ansi-language: FR-CA; mso-fareast-language: FR; mso-bidi-language: AR-SA" lang="FR-CA">cosine
= cosine </span></font><font face="Times New Roman" size="4"><span lang="FR-CA" style="FONT-FAMILY: Times New Roman; mso-fareast-font-family: Times New Roman; mso-ansi-language: FR-CA; mso-fareast-language: FR; mso-bidi-language: AR-SA">
–</span></font><font size="4"><span style="mso-fareast-font-family: Times New Roman; mso-ansi-language: FR-CA; mso-fareast-language: FR; mso-bidi-language: AR-SA" lang="FR-CA">
sine
* 2 * pi / lambda</span></font></p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">It
turns out that the wave velocity is reduced if the wavelength is very
small as compared to the number of granules involved. This phenomenon
explains why the electron frequency is the highest possible but
reaches a limit. Finally, all electrons oscillate on the same
frequency.</p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">It
also explains the lens effect inside the electron standing waves nodes
and antinodes, hence its amplification. </p>
<p align="left"><b>October 19, 2007</b></p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">Using
both Marcotte's wave generator and Voigt's transformations (see
below), one can now display regular spherical waves undergoing the
Doppler effect. Both ingoing and outgoing spherical waves then produce
<b><i>moving</i></b> spherical standing waves, hence the electron wave
structure. However, the electron undergoes Lorentz's frequency
reduction and on-axis contraction. So the Lorentz transformations only
can show its exact behavior while moving.</p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">This
program shows the procedure:</p>
<p align="center"><a href="programs/Lorentz_Marcotte_wave_generator.bas">Lorentz_Marcotte_wave_generator.bas</a>
<a href="programs/Lorentz_Marcotte_wave_generator.exe">Lorentz_Marcotte_wave_generator.exe</a></p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">This
is an amazingly simple way for displaying spherical waves undergoing
the Doppler effect, and especially the electron moving standing waves.</p>
<p align="left"><b>October 15, 2007</b></p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">One
can use the Woldemar Voigt transformations (1887) in order to
reproduce the normal Doppler effect because his equation set can
reproduce any Doppler effect including the Lorentz transformations.
They where firstly intended to cancel the Doppler effect on Maxwell
equations, but I could reverse them like this:</p>
<p align="center">x' = x * g * k + t * beta</p>
<p align="center">t' = t * g / k
<span lang="FR-CA" style="font-size:12.0pt;font-family:
"Times New Roman";mso-fareast-font-family:"Times New Roman";mso-ansi-language:
FR-CA;mso-fareast-language:FR;mso-bidi-language:AR-SA">–</span> x * beta</p>
<p align="center">y' = y * k</p>
<p align="center">z' = z * k</p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">The
Lorentz g contraction factor is the reciprocal of the
gamma factor:</p>
<p align="center">g = sqr(1
<span lang="FR-CA" style="font-size:12.0pt;font-family:
"Times New Roman";mso-fareast-font-family:"Times New Roman";mso-ansi-language:
FR-CA;mso-fareast-language:FR;mso-bidi-language:AR-SA">–</span> beta ^ 2)</p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">However,
Voigt's k constant for the regular Doppler effect equals
Lorentz's g factor (it can even be eliminated from the
Lorentz transformations, where k = 1). Finally, for the regular
Doppler effect, one can use simpler equations without this
annoying k constant:</p>
<p align="center">x' = x * g ^ 2 + t * beta</p>
<p align="center">t' = t
<span lang="FR-CA" style="font-size:12.0pt;font-family:
"Times New Roman";mso-fareast-font-family:"Times New Roman";mso-ansi-language:
FR-CA;mso-fareast-language:FR;mso-bidi-language:AR-SA">–</span> x * beta</p>
<p align="center">y' = y * g</p>
<p align="center">z' = z * g</p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">This
is not a joke. Woldemar Voigt was a genius. His equations work. The program below shows that they
can even reproduce the emitter's displacement:</p>
<p align="center"><a href="programs/Doppler_Voigt_transformations.bas">Doppler_Voigt_transformations.bas</a>
<a href="programs/Doppler_Voigt_transformations.exe">Doppler_Voigt_transformations.exe</a></p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">In
my opinion, this demonstration indicates even better that Voigt's and
Lorentz's equations are nothing else and nothing more than a Doppler
effect. Clearly, the x' variable simply indicates a wave displacement,
and the t' variable simply indicates a phase shift. Neither time nor
space are involved, and Relativity now appears simpler. It is just the
result of the electron Doppler effect, which matches the Lorentz
transformations.</p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">More
simply, the Lorentz transformations are still relevant <font face="Times New Roman" size="4"> but
they have a simpler and more important cause</font>. One can easily explain Relativity if transverse lengths
(including wavelengths) remain constant: y' = y and z'
=y. This can be obtained by reducing the electron frequency in
accordance with Lorentz's g contraction factor:</p>
<p align="center">g = sqr(1
<span lang="FR-CA" style="font-size:12.0pt;font-family:
"Times New Roman";mso-fareast-font-family:"Times New Roman";mso-ansi-language:
FR-CA;mso-fareast-language:FR;mso-bidi-language:AR-SA">–</span> beta ^ 2)</p>
<p align="center"> </p>
<div align="center">
<center>
<table border="5" cellpadding="40">
<tr>
<td width="100%">
<p align="center"><font face="Times New Roman" size="6">f ' = g f</font>
</td>
</tr>
</table>
</center>
</div>
<font face="Times New Roman" size="4">
<p align="center">The electron frequency
slows down according to Lorentz's factor.</p>
</font>
<p align="center">This equation could become the "formula of the
century".</p>
<p align="center">On the one hand, it explains Relativity.</p>
<p align="center">On the other hand, it explains Henri Poincaré's
"new mechanics", written in French here:</p>
<p align="center"><a href="http://gallica.bnf.fr/ark:/12148/bpt6k29067t">http://gallica.bnf.fr/ark:/12148/bpt6k29067t</a></p>
<p align="center"> </p>
<p align="left"><b>October 14, 2007</b></p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">The
page on the <a href="sa_Doppler.htm">Doppler effect</a> is now
upgraded and fully translated. You will find there a totally new
approach for explaining the Lorentz transformations, hence Relativity.
Clearly, those transformations are just a very special Doppler effect,
that of the electron while it is moving. It simply involves a slower
frequency which makes the transverse wavelength remaining constant: y'
= y; z' = z.</p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">This
is indeed a great achievement. Now, the Lorentz transformations are
needless, albeit they are still relevant. Relativity will be much
simpler because it is just a consequence of the electron special
Doppler effect.</p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">Incidentally,
I discovered today that the regular Doppler effect could also be
reproduced using a set of equations very similar to Lorentz's. It
should be the equivalent of Voigt's transformations, but his unknown K
constant will be replaced by Lorentz's g factor.</p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">I
will write a software on this. More to come.</p>
<p align="left"><b>October 8, 2007</b></p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">The
page on <a href="sa_spherical.htm">spherical standing waves</a> is now
fully translated, albeit it may still need some minor corrections.</p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">I
am especially proud of my invention (Feb. 15, 2007) using spherical
standing waves in order to facilitate thermonuclear fusion. This is a
great idea. Both the acoustic and electronic (microwave) systems can
coexist and achieve the very high pressure and heat requirements.</p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">I
hope that scientists will soon realize that spherical standing waves
are useful. Then they will thoroughly study them and finally
acknowledge that the electron is a similar wave system.</p>
<p align="left"><b>October 3, 2007</b></p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">I
made an animated gif for the
3-D Spherical Wave generator (see Sept. 27 below):</p>
<p align="center"><span lang="FR-CA"> </span></p>
<p align="center"><img border="0" src="images/Marcotte_Wave_Generator.gif" width="547" height="176"></p>
<p align="center"><span lang="FR-CA"> </span></p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">One
can apply the same reasoning to the 2-D Circular Wave Generator, which
phase offset in the center is only pi / 4. Using the Huygens
principle, and also the Virtual Aether, Mr. Marcotte and I already
showed that the 2-D central antinode exhibits a 3 / 4 lambda diameter.</p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">So
the formulas are different. Firstly, the core correction threshold is pi /
2 instead of pi:</p>
</font> <p align="center"><span lang="FR-CA" style="FONT-FAMILY: Times New Roman; mso-fareast-font-family: Times New Roman; mso-ansi-language: FR-CA; mso-fareast-language: FR; mso-bidi-language: AR-SA"><font size="4">If
x < pi / 2 Then x = x + (pi / 4) * (1
</font></span>
<font face="Times New Roman" size="4">
<span lang="FR-CA"> <font face="Times New Roman"> <span lang="FR-CA" style="FONT-FAMILY: Times New Roman; mso-fareast-font-family: Times New Roman; mso-ansi-language: FR-CA; mso-fareast-language: FR; mso-bidi-language: AR-SA">–</span></font>
</span>
</font> <span lang="FR-CA" style="FONT-FAMILY: Times New Roman; mso-fareast-font-family: Times New Roman; mso-ansi-language: FR-CA; mso-fareast-language: FR; mso-bidi-language: AR-SA"><font size="4">
(2 * x / pi)) ^ 2</font></span> </p>
<font face="Times New Roman" size="4">
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">Secondly, waves are expanded to an additional lambda / 8 position, and
amplitude fades according to the square root of the distance. So Mr.
Marcotte's formula must be modified this way:</p>
<p align="center"><span lang="FR-CA">y = sin(x <font face="Times New Roman">+
pi / 4 <span lang="FR-CA" style="FONT-FAMILY: Times New Roman; mso-fareast-font-family: Times New Roman; mso-ansi-language: FR-CA; mso-fareast-language: FR; mso-bidi-language: AR-SA">–</span></font>
t) / sqr(x)</span>
</p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">The
circular standing waves core amplitude is higher, as it was also the
case for spherical waves. The
program below shows that those formulas, which I elaborated yesterday,
produce very smooth outgoing waves:</p>
<p align="center"><span lang="FR-CA"><a href="programs/Circular_Wave_Generator.bas">Circular_Wave_Generator.bas</a>
<a href="programs/Circular_Wave_Generator.exe">Circular_Wave_Generator.exe</a></span></p>
<p align="center"><span lang="FR-CA"> </span></p>
<p align="left"><b>September 27, 2007</b></p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify"> I
found a new procedure for the spherical wave generator (see Sept. 10
below). Firstly,
the phase delay according to the distance is given by:</p>
<p align="center">x = 2 * pi * distance / lambda</p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">A
correction must be applied when x < pi in order to produce the
phase offset:</p>
<p align="center"><span lang="FR-CA" style="FONT-FAMILY: Times New Roman; mso-fareast-font-family: Times New Roman; mso-ansi-language: FR-CA; mso-fareast-language: FR; mso-bidi-language: AR-SA"><font size="4">If
x < pi Then
</font></span>
x = x + (pi / 2) * (1 <span lang="FR-CA"><font face="Times New Roman"><span lang="FR-CA" style="FONT-FAMILY: Times New Roman; mso-fareast-font-family: Times New Roman; mso-ansi-language: FR-CA; mso-fareast-language: FR; mso-bidi-language: AR-SA">–</span></font></span>
x / pi) ^ 2</p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">The
first software below displays 150 images per cycle.
Then the
t time is given by:</p>
<p align="center"><span lang="FR-CA">t = 2 * pi * Image No. / 150</span>
</p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">Finally,
the waves can be easily displayed using Mr. Marcotte's formula:</p>
<p align="center"><span lang="FR-CA">y = sin(x <font face="Times New Roman"><span lang="FR-CA" style="FONT-FAMILY: Times New Roman; mso-fareast-font-family: Times New Roman; mso-ansi-language: FR-CA; mso-fareast-language: FR; mso-bidi-language: AR-SA">–</span></font>
t) / x</span>
</p>
<p align="center"><span lang="FR-CA"><a href="programs/Marcotte_Wave_Generator.bas">Marcotte_Wave_Generator.bas</a>
<a href="programs/Marcotte_Wave_Generator.exe">Marcotte_Wave_Generator.exe</a></span></p>
<p align="center"><span lang="FR-CA"><a href="programs/Marcotte_Wave_Generator_3D.bas">Marcotte_Wave_Generator_3D.bas</a>
<a href="programs/Marcotte_Wave_Generator_3D.exe">Marcotte_Wave_Generator_3D.exe</a></span></p>
<p align="center"> </p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">The
true core amplitude is immaterial because it depends on the emitter's
structure and behavior. Here, the
curve rotation is very smooth, though, and this method is amazingly
simple. After all, the goal was to display the correct phase offset in the
center, and this procedure does.</p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">I
named it "The Marcotte Wave Generator" because it uses
solely Mr. Marcotte's electron equation anywhere from the center to
infinity:</p>
<p align="center"><span lang="FR-CA">y = sin(x) / x</span>
</p>
<p class="MsoTitle" style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify">It
is a great step forward because it will allow searchers to display
easily and accurately the interference patterns between two or more electrons
or positrons. One must also manage with the two-spin nature of
electrons and positrons, and so the pi / 2 phase offset in the center
will no longer be an additional problem. Here is the usual
interference pattern:</p>
<p align="center"><img border="0" src="images/champbiconvexe01.gif" width="301" height="201"></p>
<p align="center"><span lang="FR-CA">The electrostatic
"biconvex" field of force is made of hyperbolic-ellipsoidal
standing waves.</span>
</p>
<p align="center"><span lang="FR-CA">The structure is similar to
that of the diffractive lens, so they should produce an Airy disk
too.</span>
</p>
<p align="center"><span lang="FR-CA">The wave phase in the center
changes according to the distance and the particle spin.</span>
</p>
<p align="center"><span lang="FR-CA"> </span>
</p>
<p class="MsoTitle" style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify">It
is of the utmost importance because those interferences produce a
field of
force. Its amplification makes it so that a very strong wave beam
converges towards electrons or positrons which caused them. I could
check that such a convergent beam should produce an Airy disk, just
like most convergent beams except apodized ones. One must also
remember that the Airy disk is just the diffraction pattern at the
focal plane. It is called the Fraunhofer diffraction (its distance is
infinite for the laser) while the whole
diffraction pattern anywhere between the source and the Airy disk is
called the Fresnel diffraction.</p>
<p class="MsoTitle" style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify">The
pattern is different whether the source is plane or spherical. When
two electrons come very close together, their standing waves may add
constructively even in the area beyond them. Then they radiate a perfect Airy disk
exactly in their center. They transform into a quark with a gluonic field, where the forces
involved are quite different. In addition, the phase in the center may
be compatible with the positron's quadrature. So the whole system is
no longer negative and three of them (three quarks) placed crosswise
on the three Cartesian axes become a neutron,
which may transform into a proton if a positron is captured in the
center.</p>
<p class="MsoTitle" style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify">The
point is: the on-axis wave period explains how <b><i>radiation
pressure</i></b> works.</p>
<p align="center"><span lang="FR-CA"> </span>
</p>
<p align="center"><img border="0" src="images/balmer00.gif" width="640" height="95">
</p>
<p align="center">The on-axis Fresnel diffraction for a laser or a
pinhole camera.
</p>
<p align="center">Sorry: the correct equation for the Fresnel number
"n" is: Distance = Radius ^ 2 / (n * lambda).
</p>
<p align="center">So the n = 2 position should be on the right, and
even numbers indicate each zero amplitude point.
</p>
<p align="center">Note that the phase is always positive or always
negative everywhere, which is remarkable.
</p>
<p align="center"><span lang="FR-CA"> </span>
</p>
<p align="center"><img border="0" src="images/coulomb07.gif" width="640" height="339"></p>
<p align="center">The well-known Fresnel diffraction pattern</font> <font face="Times New Roman" size="4">exhibits
periodic on-axis high amplitude zones.
</p>
<p align="center">They are separated by periodic zero amplitude points
where an amazing pi phase shift occurs.
</p>
<p align="center">This explains constant attraction or repulsion effects
between electrons and positrons.
</p>
<p align="center"><span lang="FR-CA"> </span>
</p>
<p align="center"><img border="0" src="images/coulomb02.gif" width="437" height="141"></p>
<p align="center">The field of force structure is very similar to that
of a diffractive lens.</p>
<p align="center">Surprisingly, the wave beam overall phase never changes
because of the phase shift.</p>
<p align="center">This produces a constant attraction or repulsion
effect, whatever the distance is.</p>
<p align="center"> </p>
<p align="left"><b>September 26, 2007</b></p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">As
of today, this English version contains 33 pages. This was a first
step towards a full translation from the French site. However, at
least 10 pages are under construction, and many other need a severe
upgrade. Please be patient: this theory is getting better and better,
slowly but surely.</p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">This
is not only a translation process. I am still making new discoveries
and I must write new computer programs in order to prove that those
ideas make sense. I must also make new graphics, diagrams and
animations. The good news here is that I decided to do all this in
English. I will report new events here, so that it will be easy for
you to stay well informed about the Wave Nature of Matter.</p>
<p align="left"><b>September 20, 2007</b></p>
<p class="MsoTitle" style="text-indent: 35.4pt; text-align: justify">The
Sept. 10 post below have been edited in order to confirm that my
formula for the central phase offset is now correct. Here is the new
program, which uses Mr. Marcotte's formula.</p>
<p align="center"><span lang="FR-CA"><a href="programs/Marcotte_Wave_Generator.bas">Marcotte_Wave_Generator.bas</a>
<a href="programs/Marcotte_Wave_Generator.exe">Marcotte_Wave_Generator.exe</a></span></p>
<p align="center"><span lang="FR-CA"> </span></p>
<p align="left"><b>September 10, 2007</b></p>
<p class="MsoTitle" style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify">Here
is a challenge for mathematicians interested in waves. The animation
below shows how a perfect spherical wave generator should behave.
Although such a perfect generator does not exist, it will be very
useful in the future for displaying only the theoretical electron
so-called "out-waves".</p>
<p class="MsoTitle" style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify">On
the one hand, the general amplitude (the black curve below) is given by: y = 1 /
v, which coincides with y = 1 / x beyond x = pi. But the correct v value for the layer's volume is
missing. It should be normalized to 1 in the center. Please note that
any correct formula not related to volume would also be acceptable.</p>
<p class="MsoTitle" style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify">On
the other hand, there is a pi / 2 phase offset at the center, hence a
full phase shift (positive to negative) from one side to another. So
the electron exhibits an amazing full wavelength central antinode. I
already found this formula for the phase correction inside the
electron core:</p>
<p align="center"><b>phase correction = pi / 2 * (1 - x / pi) ^ 2</b></p>
<p class="MsoTitle" style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify">Then the
following formula will produce the exact moving and rotating spiral curves
in the animation below:</p>
<p align="center"><b>y = sin(t - x - phase correction) / layer volume</b></p>
<p class="MsoTitle" style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify">Here
is a
quote from Mr. <a href="http://members.tripod.com/mwolff/">Milo
Wolff's</a> web site: "Above is a photo of Milo comparing the waves of a particle with the layers of an
onion".
</font>
<font face="Times New Roman" size="4">
The
program below shows that the wave amplitude is really given by the
outgoing layer
volume:</p>
<p align="center"><a href="programs/spherical_wave_generator.bas">spherical_wave_generator.bas</a>
<a href="programs/spherical_wave_generator.exe">spherical_wave_generator.exe</a></p>
<p align="center"> </p>
<p align="center"><img border="0" src="images/generateur_d_ondes_spheriques.gif" width="550" height="310"></p>
<p align="center">The electron outgoing waves.</p>
<p align="center">The requested formula should perfectly trace the
spiral.</p>
<p align="center">This spiral reproduces the helicoidal transverse
view, where the phase is more visible.</p>
<p align="center"> </p>
<p class="MsoTitle" style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify">The
wave energy is not equally distributed inside each "onion
layer", which thickness is apparently a half wavelength. It is
probably sinusoidal, or maybe linked to the Gaussian normal
distribution, which is given by: y = pi ^ <font face="Times New Roman"><span lang="FR-CA" style="FONT-FAMILY: Times New Roman; mso-fareast-font-family: Times New Roman; mso-ansi-language: FR-CA; mso-fareast-language: FR; mso-bidi-language: AR-SA">–</span></font>(x ^
2) to a first approximation (or exactly?). It should be emphasized that the layer
inner part becomes partly negative inside the core. It must be
absolute (i.e. always positive), reversing the curve
which finally reaches the y = 1 point at the center. I could show roughly the correct amplitude, but a simpler and exact
formula for "v" would be preferable. Please
note that the y = 1 / v formula for the electron general
amplitude should be correct from the
center to infinity: it traces the black curve shown above.</p>
<p class="MsoTitle" style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify">This
missing formula is important because the <a href="sa_phaseshift.htm">electron
phase shift</a> must be present at the center whenever the goal is to
show the interference pattern between two electrons or more. Actually,
it is of the utmost importance for studying how fields of force and radiation pressure
work. Otherwise, the phase
difference will induce many people into error.</p>
<p class="MsoTitle" style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify">Mr.
Jocelyn Marcotte's formulae: sin(x) / x and: 1 <font face="Times New Roman"><span lang="FR-CA" style="FONT-FAMILY: Times New Roman; mso-fareast-font-family: Times New Roman; mso-ansi-language: FR-CA; mso-fareast-language: FR; mso-bidi-language: AR-SA">–</span> </font>
cos(x) / x are far more important, but this equation will certainly be one of tomorrow's
most well known formulae.</p>
<p align="left"><b>September 6, 2007</b></p>
<p class="MsoTitle" style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify">I
showed a long time ago that the Lorentz transformations had been
established to cancel the Doppler effect. It was indeed Woldemar
Voigt's goal in 1887. So I simply rearranged them in such a way that
they would rather produce a Doppler effect:</p>
</font>
<p align="center"><font face="Times New Roman" size="4">
<font face="Times New Roman">x' = x cos </font><font face="Symbol">q</font><font face="Times New Roman">
+ t sin </font><font face="Symbol">q</font>
</font></p>
<p align="center"><font face="Times New Roman" size="4">
<font face="Times New Roman">t' = t cos </font><font face="Symbol">q</font><font face="Times New Roman">
<span lang="FR-CA" style="FONT-FAMILY: Times New Roman; mso-fareast-font-family: Times New Roman; mso-ansi-language: FR-CA; mso-fareast-language: FR; mso-bidi-language: AR-SA">–</span>
x sin </font><font face="Symbol">q</font>
</font></p>
<font face="Times New Roman" size="4">
<p class="MsoTitle" style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify">The
theta <font face="Symbol">q</font> angle is given by: arc sin(v
/ c) and the Lorentz g contraction factor by: cos <font face="Times New Roman"></font><font face="Symbol">q</font>. I also made a program
showing that those equations indeed produce a Doppler
effect, the x coordinates and the t time (the phase, actually) being
modified. This Lorentz Doppler effect is a little different from the regular
one because the frequency slows down according to the g factor.</p>
<p class="MsoTitle" style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify">However,
it is still nothing but a Doppler effect. And it applies to the
electron, which is responsible for the structure and behavior of
matter.</p>
<p class="MsoTitle" style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify">The
point is: I finally discovered last month that one should preferably
explain Relativity as a consequence of the electron's Doppler effect,
not of the Lorentz transformations. As a matter of fact, it is quite
unreasonable to interpret those x' a t' variables as a
"space-time" transformation. One can speak much more simply
about the electron's wavelength and phase transformation, which
finally transforms matter.</p>
<p align="center"><span lang="FR-CA"> </span></p>
<p align="center"><b>MY FIRST ENGLISH PROGRAM</b></p>
<p class="MsoTitle" style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify">Now
I can prove that Relativity is true simply because the electron, hence
matter, undergoes a special Doppler effect involving a slower
frequency according to the g factor. It is the true reason why the
clocks are ticking slower at high speed. Such a Doppler effect
produces no wavelength contraction transversally (y'=y; z'=z according
to Lorentz). And finally, matter contracts along the displacement axis
because the electron's standing waves contract. Standing wave
contraction is now a well admitted fact, indeed undisputable.</p>
<p class="MsoTitle" style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify">So
I proudly introduce here my first <b><i> English</i></b> program, which shows
the electron's special Doppler effect. The FreeBasic source code
is also in English. I must repeat here: please
pay attention to this one, because this phenomenon alone explains
Relativity. Here it is:</p>
<p align="center"><a href="programs/Electron_Doppler_effect.bas">Electron_Doppler_effect.bas</a>
<a href="programs/Electron_Doppler_effect.exe">Electron_Doppler_effect.exe</a></p>
<p align="left"><b>September 5, 2007</b></p>
<p class="MsoTitle" style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify">My
discoveries are unlikely to become well accepted soon because they
seem rather weird, at least at a first glance. It is quite a challenge
to stay apart from a lot of other apparently similar sites, which on
the contrary are
truly weird. In addition, a lot of today's well admitted ideas (such
as photons or electromagnetic waves) are false. Physicists and students
must doubt them in order to become familiar with mine.</p>
<p class="MsoTitle" style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify">This
may take a long time.</p>
<p class="MsoTitle" style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify">I
must admit that the French version of this web site, which was created
five years ago, is insufficient at this point. A more acceptable
English version is required. Fortunately, I have been improving my
English recently despite my old age (65 next month).</p>
<p class="MsoTitle" style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify">In
the future, I am going to make everything in English. I will translate
at least 10 more pages from the French site and review all the rest. I
will write my programs in English. The source
code, which may be freely copied, distributed and even modified, will
also be released in English. Those programs are important because they validate my
ideas. </p>
<p class="MsoTitle" style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify">For
instance, the computerized virtual wave medium invented by Mr. Philippe
Delmotte is a true wave
laboratory. I predict that all students in physics will someday make
an intensive use of it. </p>
</font></td>
</tr>
</tbody>
</table>
</div>
<p align="center"><font face="Times New Roman" size="4"> </font></p>
<p align="center"><font face="Times New Roman" size="4"><a href="the_blog.htm">2008:
The Blog</a></font></p>
<p align="center"><font face="Times New Roman" size="4"><a href="decouvertes.htm">Before
2007 (French only)</a></font></p>
</body>
</html>
<!-- text below generated by server. PLEASE REMOVE --><!-- Counter/Statistics data collection code --><script language="JavaScript" src="http://l.yimg.com/d/lib/smb/js/hosting/cp/js_source/whv2_001.js"></script><script language="javascript">geovisit();</script><noscript><img src="http://visit.webhosting.yahoo.com/visit.gif?us1314537363" alt="setstats" border="0" width="1" height="1"></noscript>