The Lucas numbers with reciprocals

Lucas ratios and reciprocals

Lucas Series	ratios	Lucas Reciprocals	ratios
1/	1.0	1/	1.0
1		1

1/	0.3333333333333	3/	3.
3		1

3/	0.75	4/	1.3333333333333
4		3

4/	0.5714285714286	7/	1.75
7		4

7/	0.6363636363636	11/	1.5714285714286
11		7

11/	0.6111111111111	18/	1.6363636363636
18		11

18/	0.6206896551724	29/	1.6111111111111
29		18

29/	0.6170212765957	47/	1.6206896551724
47		29

47/	0.6184210526316	76/	1.6170212765957
76		47

76/	0.6178861788618	123/	1.6184210526316
123		76

123/	0.6180904522613	199/	1.6178861788618
199		123

199/	0.6180124223602	322/	1.6180904522613
322		199

322/	0.6180422264875	521/	1.6180124223602
521		322

521/	0.6180308422301	843/	1.6180422264875
843		521

843/	0.6180351906158	1364/	1.6180308422301
1364		843

1364/	0.6180335296783	2207/	1.6180351906158
2207		1364

2207/	0.6180341640997	3571/	1.6180335296783
3571		2207

3571/	0.6180339217722	5778/	1.6180341640997
5778		3571

5778/	0.6180340143331	9349/	1.6180339217722
9349		5778

9349/	0.6180339789780	15127/	1.6180340143331
15127		9349

15127/	0.6180339924824	24476/	1.6180339789780
24476		15127

24476/	0.6180339873242	39603/	1.6180339924824
39603		24476

39603/	0.6180339892945	64079/	1.6180339873242
64079		39603

64079/	0.6180339885419	103682/	1.6180339892945
103682		64079

103682/	0.6180339888293	167761/	1.6180339885419
167761		103682

167761/	0.6180339887195	271443/	1.6180339888293
271443		167761

271443/	0.6180339887615	439204/	1.6180339887195
439204		271443

439204/	0.6180339887455	710647/	1.6180339887615
710647		439204

710647/	0.6180339887516	1149851/	1.6180339887455
1149851		710647

1149851/	0.6180339887492	1860498/	1.6180339887516
1860498		1149851

1860498/	0.6180339887501	3010349/	1.6180339887492
3010349		1860498

The above are the golden numbers winding along the self-refining path. All additive series collect on the spiral. The Fibonacci and Lucas numbers are simply the most direct manifestations of the spiral. This is the esoteric knowledge of phi as displayed in the pyramid of Giza. The spiral manifests itself in a multitude of natural phenomenon. Some examples are: Spiral galaxies, the arrangement of sunflower seeds, the phylotaxis of plants leaves, reproductive rates of rabbits, hurricanes, the double helix of human DNA, fossilized ammonites, pinecones, the dying poinsettia leaf, etc.

It is this authors belief that all mass in motion, as the subject of time, tends to manifest itself as a refining curve. This is the "how" of balancing the center of swing with the periphery of swing. This does not explain "orbit" per se; it explains the movement from non-orbit to orbit.

Fibonacci and Lucas side by side
Fibonacci with reciprocals
True Gravity Numbers

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